Curriculum Vitae - Johann Radon Institute for Computational and ...

Contents
Curriculum Vitae
Univ. -Doz. Dr. Mourad Sini
1 Résumé 2
2 Research achievements 4
3 Detailed Curriculum Vitae 7
3.1 Education . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.2 Fellowships . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.3 Academic positions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
3.4 Offers of professorships from international universities . . . . . . . . . . . . . . . . . . . . 8
3.5 Professional services and supervision . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
3.6 Projects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.7 Publications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
3.8 Invited research visits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
3.9 Invited oral presentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
3.10 Description of the teaching experience. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
1

1 Résumé
Personal data
Date of birth: 04/04/1973.
Marital status: Married with one child.
Country of Residence: Austria.
Current academic address: Johann Radon Institute for Computational and Applied Mathematics
(RICAM), Austrian Academy of Sciences.
Altenbergerstrasse 69 A-4040, Linz, Austria.
Tel numbers: +43/(0)732/2468/5258.
E-mail address: mourad.sini@oeaw.ac.at
Webpage: http://www.ricam.oeaw.ac.at/people/page/sini/
Education
• Habilitation (in Applied Mathematics): Defended on June 15th, 2009 at J. Kepler University in
Linz, Austria.
• PhD (in Applied Mathematics): From October 1999 to October 2002. With distinction. University
of Provence, France.
Work experiences
July 2011-Present Senior fellow of the Austrian Academy of Sciences (Permanent position) at RICAM,
Linz, Austria.
2006-2011 Senior scientist at the Radon Institute for Computational and Applied Mathematics (RI-
CAM), Linz, Austria.
2005–2006 Visiting professor at Department of Mathematics of Yonsei University, Seoul, Republic of
Korea.
2003–2005 Fellow of Japan Society for Promotion of Science (JSPS) at University of Hokkaido, Sapporo,
Japan.
2002–2003 Assistant professor and research associate at University of Provence, France.
1999–2002 Teaching assistant at University of Provence, France.
1997-1999 Lecturer at University of Tizi-Ouzou, Algeria.
2

Domains of interest
The applicant is mainly working on the mathematical analysis of partial differential equations. More
precisely, he is active in the following areas:
1. Spectral theory of PDE based operators (Acoustic, Maxwell, Elasticity).
2. Scattering theory: forward and inverse problems.
3. Modern mathematical imaging: MREIT, Photo-Acoustics, Elastography.
4. Control of PDE systems of multiple velocities and applications to inverse dynamical problems.
5. Inverse spectral problems for rough coefficients.
6. Scattering in random media: forward and inverse problem.
Key strengths
• Teaching more 10 years at different levels with Bachelor and Master curriculums.
• Supervising 2 Master students, 2 PhD students and 2 Postdoctoral researchers.
• More than 40 scientific productions:
– 43 refereed publications in international journals and proceedings (i.e. J. Diff. Equ, SIAM J.
Math. Anal, SIAM J. App. Math, SIAM J. Sci. Comp, Integral equation Operator Theory,
Communication PDE, Annali di Matematica Pura ed Applicata, Methematische Annalen,
Inverse Problems and Imaging, etc.)
– 4 preprints in advanced stage of reviewing.
– 3 theses: Habilitation, PhD and Magister (French doctorat 3eme cycle).
• Growing international networks of collaboration. Joint publications and works with G. Nakamura
(Hokkaido, Japan), A. Morassi and E. Sincich (Udine, Italy), R. Potthast (Reading, UK), J. K.
Seo (Seoul, Rep. Korea), J. J. Liu (Southeast Univ., China), S. Kindermann (Linz, Austria), F.
Cakoni (Delaware, USA), D. Gintides (Athens, Greece), G. Hu (WIAS, Berlin), A. Boumenir (West
Georgia, USA) Fadhel Al-Musallam (Kuwait univ.).
• Research projects: 2 projects as a principal investigator and 3 projects as a participant.
• Received several offers for professorships and short listed at several international universities in
2010.
• Giving invited talks and organizing sessions in several international conferences and workshops.
3

2 Research achievements
In this section, we describe some of the applicant’s contributions done as a single author or with his
collaborators. The papers we refer to are listed in the subsection ’Publications’ of the section ’Detailed
Curriculum Vitae’.
(A). Spectral properties of partial differential operators related to the elastic
system.
This section is divided into two parts. In the first one, we considered the topographical waveguide. We
proved that there is no propagating wave having a velocity greater than the one of the Shear waves, i.e
SH-waves. In the second part, we considered the self adjoint elastic operator for stratified coefficients.
We proved that, for two geometric situations of the domain given by the half space and the whole space,
the elastic operator has no positive eigenvalues. These results extend some of the known results for the
operators related to the scalar equation as the ones of W. Littman and R. Weder for stratified coefficients.
These results are published in the papers [1], [2] and [4].
(B). Scattering theory
(B1). On the relation between the sampling and the probe methods for detecting the
discontinuities.
Several methods have been proposed to detect the discontinuity of the coefficients from the Dirichlet-
Neumann map. We considered the probe method, the singular sources method and the no-response test.
We gave the precise blowup property for these methods and showed how the first and the second are
equivalent and that they can be unified by the third one. This is given in the paper [9]. As for the
near field data, there are several methods which have been proposed to detect the discontinuities from
the far field data. They are the linear sampling method, the factorization method, the no-response test,
the range test and the probe method. We proved some equivalent statements and dependency results
concerning these methods. This is given in the paper [14] 1 . These two works have been an attempt to
unify these reconstruction methods.
(B2). Reconstruction of complex obstacles.
The inverse scattering for an obstacle D ⊂ R n , n = 2, 3, ..., with mixed boundary condition can be
considered as a prototype for radar detection of complex obstacles with coated and non-coated parts
of the boundary. In [11], [12] and [21] (see also [38] which justifies [21]), we show one way how to
reconstruct the obstacle, distinguish the coated and the non-coated parts of the obstacle and give an
explicit representation formula for the surface impedance in the coated part of the boundary. The
corresponding results of the crack detection are given in [20]. Our reconstruction scheme reveals that
the coated part of the obstacle is less visible than the non-coated one, which corresponds to the physical
fact that the coated boundary absorbs some part of the scattered wave. This is known as the coating
phenomenon. However, this coating phenomenon is related to much deeper links between the measured
data and the geometry and the material properties of the complex obstacle. Indeed, in the works [18],
[22], [23] and [24], we showed how the explicit formula relating the curvature and the surface impedance
appears in the asymptotic behavior of the used probing and sampling methods. In [19], [24] and [25], we
used this relations to show how we can design complex obstacles which can appear more ( or less ) visible
from the exterior measurements.
In all these works, we used many measurements, i.e. the far field map. In the papers [15], [17], and [34] we
used few measurements. We obtained new uniqueness results for the class of nowhere analytic obstacles,
1 This work and [9] have been a basis for granting the prize for science and technology in research category by the
Japanese minister of education, culture, sports, science and technology to the applicant’s collaborator Gen Nakamura in
2009, see the link http://www.hokudai.ac.jp/en/news/200914.html
4

see [31], an improved stability result for close or small obstacles, see [15] and finally, we proposed an
iterative method based on the use of the level set approach to reconstruct obstacles as well as surface
impedances distributed on them, see [17]. Some of these results are generalized to the Maxwell system
in [19].
In the recent years, 2011-2012, we have justified the enclusure method (a method introduced by M.
Ikehata which uses complex geometrical optics solutions to reconstruct interfaces) avoiding unnatural
geometrical conditions assumed in the previous literature. We did it for the acoustic case in [30] and
extended it to the Maxwell case in [44].
Regarding the elasticity system, we showed in [28] that, regarding the Lamé model, any of the two body
waves (Pressure or Shear waves) is enough for reconstructing interfaces from the farfield measurements.
(B3). Inverse scattering using multifrequency measurements
We are interested with the problem of reconstructing obstacles using multifrequency far field measurements.
The idea is to obtain a rough estimate of the obstacle’s shape at the lowest frequency using for
instance the least-squares approach, then refine it using a recursive type algorithms at higher frequencies.
In [32], this approach is rigorously justifed for sound soft obstacles regarding the acoustic propagation
model using only one direction of incidence. Firstly, we give a quantitative estimate of the domain in
which the least-squares objective functional, at the lowest frequency, has only one extreme (minimum)
point. This result enables us to obtain a rough approximation of the obstacle at the lowest frequency from
initial guesses in this domain. Secondly, we describe the recursive linearization algorithm and analyze
its convergence for noisy data. We qualitatively explain the relationship between the noise level and
the resolution limit of the reconstruction. Thirdly, we justify a conditional asymptotic Hölder stability
estimate of the illuminated part of the obstacle at high frequencies.
(B4). Scattering by many small bodies of arbitrary shapes.
Since early 2012, we got interested with the scattering by point-like scatterers. We justified the Foldy
model for the Lamé system in [45] and then we studied the inverse problems, for this model, taking
into account the multiple scattering in [46]. Related to this study is the wave propagation by many
small bodies of arbitrary shapes. Our interest is to justify the Foldy-Lax model, which is widely used in
the engineering community, and apply those models to inverse problem taking into account the multiple
scattering. A future application of these studies is the design of metamaterials having desired scattering
properties (as the refraction indices, permittivities, permeabilities for the electromagnetism and elastic
tissues (like shear modulus) in elasticity).
(C). Modern mathematical imaging. The MREIT case.
The goal here is the image reconstruction of the conductivity distribution from the main internal magnetic
field. Injected current in an electrically conducting subject produces a magnetic field as well as an electric
field. In EIT (Electrical Impedance tomography), the information on the electrical field in a form of
boundary current-voltage data is used to reconstruct resistivity images. It is known that this problem
is severely ill posed. Therefore, in order to transform the ill-posed problem into a well posed one, it is
reasonable to consider utilizing the magnetic field information. The question is how to utilize this internal
information in the resistivity imaging. This initiated the research area called magnetic resonance electrical
impedance tomography (MREIT). In 2002, an algorithm called Bz-algorithm has been proposed by J. K.
Seo and his group to solve this problem. The numerical results are very satisfactory. Our aim is to focus
on the analysis of the convergence and the numerical stability of this Bz-algorithm. In addition to its
importance in justifying the well accepted experimental and numerical results of the MREIT method, this
analysis involve fundamental mathematical analysis questions. In [13], we justified the rapid convergence
and the stability of this algorithm in case where the conductivity has a relatively small contrast, see also
[29].
5

(D). Control of PDE systems having multiple velocities of propagations
(D1). The connected beams problem.
This problem models the small vibrations of two connected beams. Mathematically, this leads to detect
the zero order coefficient from the dynamical Dirichlet-Neumann map for a one dimensional Sturm-
Liouville system with two different velocities. This has been published in the paper [7]. There are
two methods which can be applied to the dynamical problem for Sturm-Liouville systems with different
velocities; the Blagoveschinski algorithm and the Boundary Control Method. Both of the two methods
solve this problem, but they provide solutions which are valid only locally in the space coordinates. Our
contribution is to provide a global solution to this problem by generalizing the Layer-Stripping technique
given in the paper [3] for scalar equation to the Sturm-Liouville systems. Combining this with the
Blagoveschinski algorithm we solved the problem. The second contribution is to detect, in addition, the
two velocities. In this case, we neglected the bending motions. The general case where we take into
account the bending motions is considered in the paper [10] where an optimization method is used.
(D2). Unique continuation for the transversally anisotropic elastic system
We considered the dynamical elastic system and proved that for transversally isotropic coefficients satisfying
some additional conditions, we have the unique continuation principle. In addition we applied this
result to continue the dynamical Dirichlet-Neumann map, with respect to the time T of measurements.
This was done in the paper [16].
(E). Inverse spectral problems.
We generalized the so-called Borg-Levinson and Gelfand problems to a general Sturm-Liouville operators
when the second order coefficients (the conductivity) and the density are discontinuous and proved the
equivalence of these two types of problems. We also considered the inverse nodal problem for general
Sturm-Liouville operators with discontinuous coefficients. These results were published in the papers
[3] and [5]. To achieve these goals the applicant proposed a Layer-Stripping type technique in [3] and
generalized the Boundary Control Method to rough coefficients in [5].
6

3 Detailed Curriculum Vitae
3.1 Education
• Habilitation (in Applied Mathematics): Defended on June 15th 2009 at J. Kepler University in
Linz, Austria. Title: ’Inverse scattering and boundary value problems for complex structures’. The
thesis is refereed by:
– Prof. M. Hanke-Bourgeois, University of Mainz, Germany.
– Prof. V. Isakov, Wichita State University, USA.
– Prof. A. Kirsch, University of Karlsruhe, Germany.
– Prof. R. Kress, University of Goettingen, Germany.
– Prof. J. Mc-Laughlin, RPI, USA.
– Prof. A. Neubauer, J. Kepler University, Linz, Austria.
– Prof. M. Yamamoto, University of Tokyo, Japan.
• PhD (in Applied Mathematics): From October 1999 to October 2002. With distinction. University
of Provence, France. Advisors: Prof. Y. Dermenjian and Prof. O. Poisson. Title: ”Some spectral
results on the linearized elasticity systems and identification of discontinuous parameters for the
Borg-Levinson inverse spectral problem.” The thesis is refereed by:
– Prof. G. Alessandrini, University of Trieste, Italy.
– Prof. A. S. Bonnet-Ben Dhia, CNRS, France.
• Magister (French ’Doctorat 3eme cycle’) (Applied Mathematics): University of Annaba, Algeria.
September 1995 till September 1997, with distinction. Supervisor: Prof. L. Chorfi. Title: ’Propagation
of elastic waves by a perturbed half-space waveguide’. The thesis is refereed by:
– Prof. A. Djellit, University of Annaba, Algeria.
– Prof. Y. Atik, école normale supérieure d’Alger, Algeria.
• Master 2 (French ’DEA’) (Applied Mathematics): University of Annaba, Algeria. September 1994
till September 1995, with distinction.
• Master 1 (French ’Maitrise’, 4 years) (Pure Mathematics): University of Algiers, Algeria. June
1994, with distinction.
3.2 Fellowships
• May 2003 – August 2005: A fellowship offered by the Japan Society for Promotion of Science
(JSPS) at Hokkaido University, Sapporo, Japan.
3.3 Academic positions
2010-2013 Leader of the project ’Electromagnetic Scattering by Complex Interfaces’ funded by the
Austrian research fund FWF.
2006-Present Senior scientist (Tenured since July 2011) at the Radon Institute for Computational and
Applied Mathematics, Linz, Austria.
2005–2006 Visiting research professor at Department of Mathematics of Yonsei University, Seoul, South
Korea.
2003–2005 Fellow of Japan Society for Promotion of Science (JSPS) at University of Hokkaido, Sapporo,
Japan.
7

2003-2005 Co-leader (with Gen Nakamura) of the project ’Inverse problems for connected beams’ funded
by JSPS.
2002–2003 Assistant professor and research associate at University of Provence, France.
1999–2002 Teaching assistant at University of Provence, France, as a PhD student.
1997–1999 Lecturer at University of Tizi-Ouzou, Algeria.
3.4 Offers of professorships from international universities
Offers of professorships.
1. Seoul National University (Korea). Offer made in May 2011 (offer declined).
2. King Fahd University for Petroleum and Mineral (Saudi Arabia). Offer made in November 2010
(offer declined).
3. Joint position of University of Marseille II and Centre de Physique Théorique, Marseille, France.
Offer made in June 2011 (offer declined).
4. A tenure position as a Senior fellow at the Austrian Academy of Sciences. Offer made in June 2011.
Offer accepted from July 1st 2011.
Short listed at the following universities in 2010.
1. University of Limoges, France, in April 2010.
2. University of Clermont-Ferrand, in May 2010.
3. University of Reims, France, in May 2010.
4. University of Toulouse, France in December 2010.
3.5 Professional services and supervision
Professional services
• Organizer of a special session at the AIP conference in Daejon, Korea in July 2013.
• Organizer of a special session at the AIP conference in Vienna, 2009.
• Co-organizer of the Workshop 3 at the RICAM’s special semester program in fall 2011.
• Co-organizer of the inverse problems seminar at RICAM (Austria) since 2010.
• Reviewer for several journals: SIAM Journal of Mathematical Analysis, Numerishe Mathematik,
Inverse Problems, Inverse Problems and Imaging, Inverse Problems in Sciences and Engineering,
Journal of Complexity, Journal of Integral Equations and Applications, Applicable Analysis, Journal
of Computation and Applied Mathematics, Journal of Mathematical Analysis and Applications,
Mathematics and Computers in Simulation, Applied Mathematics and Computation.
• Committee member of the laboratory of analysis, topology and probability (LATP), CMI, University
of Provence, France [2001–2003].
• Member of the American Mathematical Society.
8

Supervision
1. Supervising Postdoctoral researchers.
1) Dr. Thanh Nguyen, since November 2008. Working on (1.) the accuracy issue of the sampling
methods for inverse scattering theory and on (2.) on dectection of surfaces and material parameters
using multifrequency measurements .
2) Dr. Kazuki Yoshida, from July 20th till September 13th 2010. On detection of discontinuities from
boundary measurements using complex geometrical optics solutions.
2. Supervising PhD students.
1) Candidate: Durga Prasad Chella (Master thesis from Indian Institute of Technology). Since November
2010.
2) Candidate: Manas Kar (Master thesis from TATA Institute for fundamental research, India). Since
on November 2010.
3. Supervising Master students.
1) Candidate: Kho Sinatra Canggih. Title of thesis: ’Inverse Problems in Transient Elastography’ July
2007, Linz, Austria.
2) Candidate: Vincent Ssemaganda. Title of the thesis: ’Identification of Hydraulic Conductivity in
Groundwater Modeling’ July 2007, Linz, Austria.
3.6 Projects
I. As a principal investigator.
(a) Unique PI: ’Electromagnetic Scattering by Complex Interfaces’. Funded by the Austrian Science
Fund, FWF (09/2010 till 08/2013).
(b) With Gen Nakamura: ’Inverse problems for connected beams’. Funded by the Japanese Society for
Promotion of Sciences, JSPS, as a part of my postdoctoral fellowship (05/2003 till 05/2005).
II. As a participant.
(a) ’Computational Inverse Problems and Applications’. Funded by the Austrian Science Fund, FWF
and led by Heinz Engl (09/2006 till 03/2008).
(b) ’Magnetic Resonance Electrical Impedance Tomography’. Funded by the BK21 program of the
Korean government and led by J. K. Seo (univ. Yonsei, Seoul) and E. J. Woo (IIRC, Seoul), (09/2005
till 07/2006).
(c) ’Computation of travel time of acoustic waves propagating in a stratified waveguide.’ Funded by
the French oil company Elf-acquitaine, Pau, and led by Yves Dermenjian (univ. Provence, Marseille,
France), (10/2001 till 03/2002).
3.7 Publications
Journal articles
[1] M. Sini, Un résultat d’absence de valeurs propres plongées pour le guide élastique, CRAS Paris, Series
IIb, 2000; 328: 561–564.
9

[2] M. Sini, About embedded eigenvalues for a spectral problem arising in the study of surface waves in
a topographical waveguide, Math. Meth. Appl. Sci. 2002, 25, 981–995.
[3] M. Sini, Some uniqueness results of discontinuous coefficients for the one dimensional inverse spectral
problem, Inverse Problems, 2003, 19: 871-894.
[4] M. Sini, Absence of positive eigenvalues for linearized elastic systems, Int. Equ. Oper. Theo., 2004,
49 (2): 255–277.
[5] M. Sini, On the one dimensional Gelfand and Borg-Levinson spectral problems for discontinuous
coefficients, Inverse Problems, 2004, 20: 1371–1386.
[6] G. Nakamura and M. Sini, Near Field Measurements for the Inverse Scattering Problem for the Ocean
Acoustics, Inverse Problems, 2004, 20, 1387–1392.
[7] A. Morassi, G. Nakamura and M. Sini, An inverse dynamical problemfor connected beams, European
Journal of Applied Mathematics, 2005, 16, No. 1: 83–109.
[8] G. Nakamura, R. Potthast and M. Sini, A comparative study between some non-iterative methods
for the inverse scattering. Contemp. Math., 408 249–265, (2006).
[9] Nakamura, Gen; Potthast, Roland; Sini, Mourad Unification of the probe and singular sources methods
for the inverse boundary value problem by the no-response test. Comm. Partial Differential
Equations 31 (2006), no. 10-12, 1505–1528.
[10] A. Morassi, G. Nakamura, K Shirota and M. Sini, A variational approach for the inverse dynamical
problem for connected beams. European Journal of Applied Mathematics, 2007, 18, No. 1: 21–55.
[11] Liu, J. J.; Nakamura, G.; Sini, M. Reconstruction of the shape and surface impedance from acoustic
scattering data for an arbitrary cylinder. SIAM J. Appl. Math. 67 (2007), no. 4, 1124–1146.
[12] G. Nakamura and M. Sini, Obstacle and boundary determination from scattering data. SIAM J.
Math. Anal, V:39 (2007) N: 3 p:819-837.
[13] J. J. Liu, J. K. Seo, M. Sini, E. J. Woo, On the convergence and stability of the harmonic Bz algorithm
in MREIT. SIAM J. Appl. Math. 67 (2007) N 5, 1259-1282.
[14] N. Honda, G. Nakamura, R. Potthast and M. Sini, The no-response approach and its relation to other
sampling methods. Annali di Matematica Pura ed Applicata. (4) 187 (2008), no. 1, 7–37.
[15] E. Sincich and M. Sini. Local stability for soft obstacles by a single measurement. Inverse Probl.
Imaging 2, no. 2, 301–315, (2008)
[16] C-L. Lin, G. Nakamura and M. Sini, Unique continuation for transversally isotropic dynamical systems
and its applications. J. Diff. Equat, , 245, 3008-3024, (2008).
[17] L. He, S. Kindermann and M. Sini. Reconstruction of shapes and surface impedances using few far
field measurements. Journal of Computational Physics Volume 228, Issue 3, Pages: 717-730, (2009).
[18] J. Liu and M. Sini. On the accuracy of the numerical detection of complex obstacles from far field
data using the probe method. SIAM J. Sci. Comp, V31, N 4, 2665-2687 (2009).
[19] R. Potthast and M. Sini. The No-response Test for the reconstruction of polyhedral objects in
electromagnetics. Accepted by J. Comp. Appl. Math 234, no. 6, 17391746, (2010).
[20] J. Liu and M. Sini. Reconstruction of cracks of different types from far field measurements. Mathematical
Methods in the Applied Sciences 33, no. 8, 950973, (2010).
[21] F. Cakoni, G. Nakamura, M. Sini and N. Zeev. The identification of a partially coated dielectric from
far field measurements. Applicable Analysis, Volume 89 Issue 1, 67 - 86, (2010).
[22] N. T. Thanh and M. Sini. An analysis of the accuracy of the linear sampling method for inverse
obstacle scattering problems using asymptotic expansion. Inverse Problems, 26, no. 1, 015010,
(2010).
10

[23] F. Ben Hassen, O. Ivanyshyn and M. Sini. The 3D acoustic scattering by complex obstacles. The
accuracy issue. Inverse Problems, 26, 105008, (2010).
[24] N. T. Thanh and M. Sini. Accuracy of the linear sampling method for inverse obstacle scattering:
effect of geometrical and physical parameters. Inverse Problems, 26, 125004, (2010).
[25] J. J. Liu, P. A. Krutitskii and M. Sini. Numerical Solution of the Scattering Problem for Acoustic
Waves by a Two-Sided Crack in 2-Dimensional Space. J. Comp. Math., 29, pp. 141-166, (2011).
[26] M. Sini. On uniqueness and reconstruction of rough and complex obstacles from acoustic scattering
data. To appear in Volume 11, 2011, of the journal Computational Methods in Applied Mathematics.
[27] D. Gintides, T. T. Nguyen and M. Sini. Detection of point-like scatterers using one type of scattered
elastic waves. J. Comput. Appl. Math. 236 (2012), no. 8, 21372145..
[28] D. Gintides and M. Sini. Identification of obstacles using only the pressure parts (or only the shear
parts) of the elastic waves. Inverse Probl. Imaging 6 (2012), no. 1, 3955.
[29] N. Honda, G, Nakamura and M. Sini. Analytic extension and reconstruction of obstacles from few
measurements for elliptic second order operators. Appeared online in Mathematische Annalen, 2012.
[30] M. Sini and K. Yoshida. On the reconstruction of interfaces using complex geometrical optics solutions.
The acoustic case. Inverse Problems 28 (2012), no. 5, 055013.
[31] K. Kim, G. Nakamura and M. Sini. The Green Function of the Interior Transmission Problem and
its applications. Inverse Probl. Imaging 6 (2012), no. 3, 487 - 521.
[32] M. Sini and N. T. Thanh . Inverse acoustic obstacle scattering problems using multifrequency measurements.
To appear in Inverse Problems and Imaging.
[33] D. P. Challa and M. Sini. Inverse scattering by point-like scatterers in the Foldy regime. To appear
in Inverse Problems.
Proceedings articles
[34] M. Sini, Absence of positive eigenvalues for the linearized elasticity system. The half-space case.
Mathematical and numerical aspects of wave propagation—WAVES 2003, 824–829, Springer, Berlin,
(2003).
[35] G. Nakamura, R. Potthast and M. Sini, The convergence of the no-response test for localizing an
inclusion. The 5th International Conference on Inverse Problems in Engineering-Theory and Practice,
Oxford 2005.
[36] A. Morassi, G. Nakamura, K Shirota and M. Sini, A numerical method for an inverse dynamical
problem for composite beams. (2007) J. Phys.: Conf. Ser. 73 012015 (20pp)
[37] J.J. Liu, J. K. Seo, M. Sini and E.J. Woo, On the conductivity imaging by MREIT: Available results
and noisy effects. J. Phys. Conf. Ser. 73 012013 (15pp), (2007) .
[38] M. Sini, Reconstruction of complex obstacles by far field measurements. Journal of Physics Proceedings
of the AIP conference, Vancouver. J. Phys. Conf. Ser. 124 012045 (9pp), (2008).
[39] M. Sini, Reconstruction of complex cracks from far field measurements. Proceedings of the eighth
international workshop on Mathematical Methods in Scattering theory and biomedical engineering,
Lefcada, Greece. pp: 82-89, (2008).
[40] P.A. Krutitskii, J.J. Liu and M. Sini, Reconstruction of complexcracks by exterior measurements, 6th
International Conference on Inverse Problems in Engineering: Theory and Practice, Paris, J. Physics:
Conference Series, Vol.135, (2008).
[41] M. Sini, Reconstruction of complex obstacles from few measurements. Proceedings of the Institute of
Acoustics Spring Conference: Widening Horizons in Acoustics, Reading, UK, 10-11 April 2008, 30(2),
2008, CD-ROM
11

[42] F. Ben Hassen, O. Ivanyshyn and M. Sini, On the accuracy of the singular sources method for 3D
inverse acosutic scattering by a complex obstacle. Proceedings Book of PICOF’10, P:277-282.
[43] N. T. Thanh and M. Sini, On the accuracy of the linear sampling method for inverse obstacle scattering.
Proceedings Book of PICOF’10, P:261-267.
Articles under review
[44] M. Kar and M. Sini. Reconstruction of interfaces using CGO solutions for the Maxwell equations.
[45] G. Hu and M. Sini. Elastic scattering by finitely many point-like obstacles.
[46] G. Hu, A. Kirsch and M. Sini. Some inverse problems arising from elastic scattering by rigid obstacles.
[47] M. Kar and M. Sini. Reconstructing obstacles by the enclosure method using in one step the farfield
measurements.
Theses
[48] Habiltation thesis: Inverse scattering and boundary value problems for complex structures. June
2009, J. Kepler University, Linz, Austria.
[49] PhD thesis: Some spectral results on the linearized elasticity systems and identification of discontinuous
parameters for the Borg-Levinson inverse spectral problem. October 2002, University of Provence,
France.
[50] Magister: Propagation of elastic waves by a perturbed half-space waveguide. September 1997, University
of Annaba, Algeria.
Lecture note
[51] ’An introduction to mathematical methods for continuum mechanics’. 2010. J. Kepler University,
Linz, Austria.
Some of the pdf files are downloadable from the page:
http://www.ricam.oeaw.ac.at/people/page/sini/publications.html
3.8 Invited research visits
1. University of Trieste, Italy (September 2001, one week) 2 .
2. University of Florence, Italy (October 2002, one week).
3. INRIA and ENSTA, France (March 2003 for two weeks).
4. UCLA, California, USA (November 2003 for ten days)
5. Tokyo, Japan (January 2004 for one week).
6. Goettingen, Germany (October 2004 for two weeks).
7. Udine, Italy (May 2005 for one week).
8. Sapporo, Japan (January 2006 for two weeks).
9. Lack arrowhead, California, USA (June 2006 for one week).
2 The first two visits are during the PhD studies for attending series of lectures on inverse problems. The others are
invited research stays.
12

10. Sapporo, Japan (July 2006 for four weeks).
11. Goettingen, Germany (December 2006, for one week).
12. Sapporo, Japan ( January 2007 for four weeks).
13. Marseille, France (February 2007 for two weeks).
14. Readings, UK (November 2007 for one week).
15. ENIT, Tunis (December 2007 for one week).
16. Sapporo, Japan (January 2008 for two weeks).
17. Readings, UK (April 2008 for one week).
18. Annaba, Algeria (May 2008 for one week).
19. Nanjing and Shanghai, China (October 2008 for two weeks).
20. Sapporo, Japan (November 2008 for two weeks).
21. Sapporo, Japan (January 2010 for two weeks).
22. Seoul National University (March 2011 for one week).
23. Kuwait University (March 2011 for two weeks).
24. Trieste University, Italy, (November 2011 for one week).
25. WIAS, Berlin, Germany, (June 2012 for one week).
26. La Rochelle, France, (November 2012 for one week).
27. WPI, Massachusetts, USA, (December 2012 for 4 days).
3.9 Invited oral presentations
Seminar and colloquium talks
1. University of Provence (France) (10-2001). Title ’Absence of elastic waves propagating faster than
the S-waves in the 3D elastic waveguide’
2. University of Provence (France) (04-2002). Title ’Spectral properties of some operators related to
the perturbed isotropic elastic system’
3. Hokkaido University (Japan) (07-2003). Title ’Spectral analysis of the free and perturbed half-space
elastic operators’
4. Tokyo University (Japan) (01-2004). Title ’Inverse dynamical problems for connected beams. The
weak connection case.’
5. Hokkaido University (Japan) (04-2005). Title ’Inverse dynamical problems for connected beams.
The full connection.’
6. University of Udine (Italy)(05-2005). Title ’On the detection of discontinuities from the Dirichlet-
Neumann map.’
7. University of Nancy (France), (05-2005). Title ’On the one dimensional inverse spectral problems
for rough coefficients.’
8. Ricam, Linz (Austria) (10-2006). Title ’Some new results in inverse obstacle scattering problems’
9. Goettingen Universiy (Germany)(12-2006). Title ’The no-response test and its relations to the
probe and sampling methods.’
13

10. University of Franche Compte (Besancon, France), (02-2007). Title ’Inverse dynamical problems
for connected beams.’
11. University of Provence (France) (02-2007). Title ’Reconstruction of discontinuities from acoustic
far-field measurements.’
12. ACSIOM (Montpellier, France), (03-2007). Title ’Reconstruction of obstacles from electromagnetic
measurements.’
13. Ricam, Linz (Austria) (03-2007). Title ’Some new results on the inverse dynamical problems for
connected beams.’
14. Strobl (Austria) (06-2007). Title ’On the convergence of the Bz-algorithm in MREIT.’
15. ENIT (Tunis) (12-2007). Title ’How to make obstacle more (or less) visible from exterior measurements.’
16. Hokkaido University (Japan) (01-2008). Title ’The asymptotic analysis of the indicator function of
the probe method in terms of the source points.’
17. Ricam, Linz (Austria) (04-2008). Title ’Reconstruction of complex obstacles by acoustic far field
data.’
18. University of Annaba, (Algeria) (05-2008). Title ’Inverse scattering by complex obtacles.’
19. Southeast University (Nanjing, China)(10-2008). Title ’On the relations between the probe and the
sampling methods.’
20. Ricam, Linz (Austria) (04-2009). Title ’Reconstruction of obstacles from few measurements.’
21. Ricam, Linz (Austria) (10-2010). Title ’Reconstruction of interfaces using complex geometrical
optics solutions.’
22. Seoul National University (Seoul, Korea) (March 8th 2011). Title ’Reconstruction of interfaces
using elastic waves’.
23. Seoul National University (Seoul, Korea) (March 10th 2011). Title ’Inverse scattering by interfaces’.
24. Kuwait University (Kuwait) (March 21st 2011). Title ’Inverse scattering by interfaces’
25. Kuwait University (Kuwait) (March 28th 2011). Title ’Reconstruction of interfaces using multifrequency
acoustic incident waves’
26. Trieste University (Italy) (November 15th 2011). Title ’Reconstruction of interfaces using elastic
waves’.
27. WIAS, Berlin (Germany) (June 19th). Title ’Reconstruction of interfaces using elastic waves’.
Presentations in conferences and workshops
28. 32nd congress of numerical analysis, Port d’Albret, 5th–9th June, 2000, France.
29. Workshop at Fudan University, 28th–30th November 2003, Shanghai,China.
30. Conference at Tokyo University, 19th–21st January 2004, Tokyo, Japan.
31. International conference: Modeling and Simulation, 7th–12th June, 2004, Fethye, Turkey.
32. Meeting of Japan Mathematical Society, 21st–23th September, 2004, Sapporo, Japan.
33. Taiwan-Japan joint workshop on inverse problems, 30th October – 1st November, 2004, Taipei,
Taiwan.
34. Hokkaido University–Seoul National University Joint Symposium, August 2004, Hokkaido University,
Japan.
14

35. The 5th East-Asia conference on PDE, 30th January – 2nd February 2005, Osaka, Japan.
36. Meeting of Japan Mathematical Society, 17th–20th March, 2005, Tokyo, Japan.
37. Conference at Hokkaido University (Sapporo, Japan) Inverse Problems in Applied Sciences-towards
breakthrough, July 3rd-7th, 2006.
38. IPAM Conference at Lake Arrowhead (California, USA) Inverse Problems Reunion Conference II,
June 11th-16th, 2006.
39. ICIAM conference at Zurich, July 2007, Switzerland.
40. AIP conference, Vancouver, June 2007, Canada.
41. The 8th International workshop on mathematical methods in scattering theory and biomedical
engineering, Lefkada, 27-29 September 2007, Greece.
42. ICIPE 2008, June 2008, Dourdan, France.
43. ECCOMAS 2008, June 30th-July 4th, 2008, Venise, Italy.
44. 4th International Conference on Symbolic and Numerical Scientific Computing SNSC’08, July 24th
- 26th, 2008, Hagenberg, Austria.
45. Chemnitz Symposium on Inverse Problems, September 25th-26th, 2008, Chemnitz, Germany.
46. Linz-Chemnitz Symposium on Inverse Problems, July 14th-15th, 2009, Linz, Austria.
47. AIP conference, July 20th-24th 2009, Vienna, Austria.
48. Workshop 1 of the Ricam Mini special semester 2010. ’Impact of Smoothness on Regularization’,
June 29-July 2, 2010.
49. IPCA10, CIRM, Luminy, Marseille, France, May 2010.
50. International conference: Modeling and Simulation, 24th–29th May, 2010, Antalya, Turkey. The
slides are presented by D. Gintides.
51. International Conference on Inverse Problems, Hong Kong, December 13th-17th, 2010.
52. The American Mathematical Society annual meeting, Jan. 05th–Jan. 10th 2011, New Orleans, LA,
USA.
53. TAMTAM 11, Sousse, Tunisia, April 2011.
54. Journées sur les problèmes inverses, Annaba, Algeria, November 2011.
55. ESI (Erwin Schroedinger Institute) workshop on inverse problems, Vienna, Austria, April 2012.
56. International Conference on Inverse Problems and Related Topics 2012 (ICIP2012), Nanjing, China,
October 2012. (Invitation declined for unvailabilty).
3.10 Description of the teaching experience.
More than 10 years experience teaching with different curriculums:
1995-1997 . University of Tizi-Ouzou, Algeria. Teaching assistant for classes of second and third years students.
1997-1999 . University of Tizi-Ouzou, Algeria. Lecturer for first and second year students.
1999-2003 . University of Provence and University Marseille II, Marseille, France. Lecturer for first and second
years students.
2008-2012 . University J. Kepler, Linz, Austria. Lecturer for Bachelor and Master students.
15

First and second year undergraduate students
1) Responsible of two units of courses ”Analysis” and ”Algebra”. The courses are given for sections of
approximately 120 students. They are divided into groups of 20-30 students for assisting them to solve
exercises and correct the home works.
Analysis:
1.a) Theory of real functions of one and several real variables.
Fundamental theorems of real analysis. Integration and differentiation, research of minimums and maximus,
Taylor’s formula and several of its applications for the calculus. Sequences and series of real numbers
and functions. Integration and differentiation of sequences and series of functions. Application to the
resolution of some differential equations.
1.b) Theory of the functions of one complex variable.
The basics of complex numbers. Series of complex numbers. Different criteria for computing the radius
of convergence of series of complex numbers. The Cauchy formula and its application to compute special
functions and some integrals. A little of harmonic analysis for holomorphic and harmonic functions, till
the principle of analytic continuation.
Algebra:
1.c) Vector spaces (Vectors linearly independent, basis of a vector space). Matrices (Symmetric matrices,
bloc-symmetric matrices). Reduction of matrices. Reduction to Jordan form of general matrices and to
diagonal forms for symmetric and n × n matrices. Eigenvalues and eigenfunctions of matrices and their
computation. Equivalence of matrices. Application to the resolution of linear systems. Study of several
examples of vector spaces...
1.d) Group theory. From the basic notions of groups and sub groups till the universal Silow’s theorems.
2) Programming and computing with the language PASCAL.
Running of several algorithms issued from the numerical analysis and the resolution of linear systems.
For 4 groups of 20 students approximately.
3) Formal computing and use of Maple.
Learn of the formal computing and the use of the Maple subroutines to create new algorithms. For 3
groups of 20 students approximately.
4) Teaching for first year students basics of probability and statistics. For 3 groups of 20 students
approximately.
5) Teaching mathematics for students in chemistry. Basics of calculus needed and applied to modeling
in chemistry for 2 groups of approximately 15-20 students.
Third year undergraduate students
For 3 groups of 20 to 30 students.
1) Basic set theory, general topology (notion of neighbor of a point, open set, close set, topological
spaces, separable topological spaces, connected sets, (pre-)compact set, metric spaces...), continuity of
functions defined on metric spaces. Complete and completion of metric spaces. Vectorial spaces. Seminorms
and norms on vectorial topological space. Freshet space, Banach space and Hilbert space.
2) Some fundamentals of functional analysis.
Dual spaces, weak topologies, Hahn-Banach theorem, Banach-Steinhaus theorem, Banach fixed point
theorem. Reflexive spaces. Applications for the L p , l p , C[0, 1], C n [01] spaces... Study of several operators
as the multiplication operator, shifting operator, integral operators...
16

Master students
For groups of about 20 students.
1) Vector analysis, tensor analysis and integral theorems. Basics of the deformation theory. Forces,
stress and equilibrium equations (including the Cauchy theorem on existence of the Cauchy stress tensor).
The constitutive equations (including finite elasticity and Newtonian fluids with their linearizations).
2) Sobolev spaces. Well-posed-ness of some linearized elasticity models via energy methods for both static
and dynamic cases. Study of the well-posed-ness of the Navier and the Navier-Stocks models.
Other teaching experiences
As an undergraduate student, I taught in several high schools preparing the students for the University
entrance exams.
Lecture notes
Lecture notes of the course ’An introduction to mathematical methods for continuum mechanics’ given
at JKU, Linz, during the winter semesters of 2008 and 2010.
These lecture notes are downloadable from the page:
http://www.ricam.oeaw.ac.at/people/page/sini/Teaching-this-semester.html
17