CV - Andrea Moiola - University of Reading

Curriculum Vitae
Andrea Moiola
18th October 2013
1 Personal data
First name
Last name
Current position
Work address
Room 208
Phone (office) +44 (0) 118 378 8992
Fax +44 (0) 118 931 3423
E-mail address
Web
Andrea
Moiola
Senior research fellow
Department of Mathematics and Statistics,
Whiteknights, PO Box 220, Reading RG6 6AX, UK
a.moiola@reading.ac.uk
http://www.personal.reading.ac.uk/~st904897/
2 Employment
• From March 2013 I am a “Senior Research Fellow” at the Department of Mathematics and Statistics of the
University of Reading.
• From March 2012 to February 2013, I held a postdoctoral position at the Department of Mathematics and
Statistics of the University of Reading under a “Fellowship for prospective researchers” on “Computational
wave propagation”, funded by the Swiss National Science Foundation (SNSF). 1 During the fellowship I was
supervised by Prof. S.N. Chandler-Wilde.
• From September 2008 to November 2011 I was scientific assistant at ETH Zürich – SAM Seminar for Applied
Mathematics. Funded to carry out research on the project “Plane Wave Discontinuous Galerkin” towards a
PhD and to carry out teaching duties for undergraduate students.
3 Education
• Doctorate at ETH Zürich – SAM, Seminar for applied mathematics, 2008–2011
Thesis Trefftz-discontinuous Galerkin methods for time-harmonic wave problems
Supervisor Prof. R. Hiptmair
Co-supervisor Prof. I. Perugia (University of Pavia)
Date of viva September 15, 2011
Funding Swiss National Science Foundation
• Master Degree in Mathematics at the University of Pavia (Laurea specialistica), 2006–2008
Thesis Analysis of the plane wave discontinuous Galerkin method for the Helmholtz problem
Supervisor Prof. I. Perugia
Date of viva July 15, 2008
Mark 110/110 cum Laude
• Bachelor Degree in Mathematics at the University of Pavia (Laurea triennale), 2003–2006
Thesis Mathematical methods for image reconstruction
Supervisor Prof. U. Gianazza
Date of viva July 18, 2006
Mark 110/110 cum Laude
• Alumnus of Collegio Ghislieri, Pavia, 2003–2008.
• Alumnus of the Institute for Advanced Study in Pavia (IUSS), undergraduate internal courses, 2003–2008.
1 SNSF webpage: http://p3.snf.ch/Project-137294
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Andrea Moiola Curriculum Vitae Reading, 18th October 2013
4 Invited talks
Invited talks at conferences
• Is the Helmholtz equation really sign-indefinite?, Oberwolfach workshop on “Computational electromagnetism
and acoustics”, January 20–26, 2013; organised by R. Hiptmair, RWH. Hoppe, P. Joly and U. Langer.
• Approximation by plane waves, workshop on: “Non-Standard Numerical Methods for PDE’s”, Pavia, Italy,
June 29–July 2, 2010; organised by D. Boffi, A. Buffa, C. Lovadina, I. Perugia, G. Sangalli.
• Approximation by plane waves, Oberwolfach workshop on “Computational electromagnetism and acoustics”,
February 14–20, 2010; organised by R. Hiptmair, RWH. Hoppe, P. Joly and U. Langer.
Invited contributions to minisymposia
• Trefftz-DG methods for wave propagation: hp-version and exponential convergence, MAFELAP 2013, Brunel university,
UK, June 10–14, 2013 (in the minisymposium “Innovative compatible and mimetic discretizations
for partial differential equations” organised by A. Cangiani and G. Manzini).
• Trefftz-discontinuous Galerkin methods for time-harmonic Maxwell’s equations, 3rd European Seminar on Computing
(ESCO2012), Pilsen, Czech Republic, June 25–29, 2012 (in the minisymposium “Discontinuous Galerkin
Methods for Electromagnetics”, organised by S. Schnepp).
• Plane waves discontinuous Galerkin methods, DSPDEs’10, Barcelona, Spain, May 31–June 4, 2010 (in the minisymposium
“Discontinuous Galerkin Methods for Partial Differential Equations”, organised by B. Ayuso,
L.D. Marini and C.-W. Shu).
• Plane waves discontinuous Galerkin methods, WONAPDE 2010, universidad de Concepción, Chile, January
11–15, 2010 (in the minisymposium “Computational electromagnetism” organised by A. Bermúdez and
R. Rodríguez).
• Approximation by plane waves, MAFELAP 2009, Brunel university, UK, June 9–2, 2009 (in the minisymposium
“FEM with non-polynomial basis functions” organised by P. Monk and I. Perugia).
Invited research seminars
• Trefftz-Discontinuous Galerkin Methods for the Helmholtz and the Maxwell equations, Collége de France, Paris,
May 17, 2013 (invited by X. Claeys).
• Trefftz-discontinuous Galerkin methods for time-harmonic wave problems, Department of Mathematics of the University
of Leicester, October 18, 2012 (invited by A. Cangiani).
• Trefftz-discontinuous Galerkin methods for Maxwell’s equations, Department of Mathematics and Statistics of the
University of Strathclyde, April 17, 2012 (invited by G. Barrenechea).
• Trefftz-discontinuous Galerkin methods for time-harmonic wave problems, Department of Mathematical Sciences
of the University of Bath, March 23, 2012 (invited by M. Freitag).
• Trefftz-discontinuous Galerkin methods for time-harmonic wave problems, Department of Mathematics and Statistics
of the University of Reading, March 12, 2012 (invited by E. Varvaruca).
• PWDG method and approximation by plane waves, Department of Mathematics of the Chinese University of
Hong Kong, September 9, 2009 (invited by J. Zou).
5 Other presentations
Contributed talks at conferences
• Trefftz-DG methods: hp-version and exponential convergence, Waves 2013, Gammarth, Tunisia, June 3–7, 2013.
• Trefftz-discontinuous Galerkin methods for Maxwell’s equations, InnoWave conference, Nottingham, UK, September
3–7, 2012.
• Trefftz-DG methods for Maxwell’s equations, Finite Element Fair/Rodeo/Circus, Paris, June 3–4, 2011.
• Approximation by plane waves, ESF conference on “Highly Oscillatory Problems: From Theory to Applications”,
Cambridge, UK, September 12–17, 2010.
• Approximation by plane waves, Swiss Numerics Colloquium, Basel, April 24, 2009.
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Andrea Moiola Curriculum Vitae Reading, 18th October 2013
Other talks at research seminars
• Trefftz methods for time-harmonic wave propagation, Brain Embodiment Lab, Reading, September 25, 2013.
• Approximation by plane and spherical waves, Waves group meeting, Reading, March 26, 2013.
• Is the Helmholtz equation really sign-indefinite?, Reading departmental analysis day, October 19, 2012.
• Approximation by waves, Pro ∗ Doc summer retreat with the applied maths groups of ETH Zürich, Universität
Zürich and Universität Basel, Disentis, August 18–21, 2010.
Poster presentations
• Trefftz-discontinuous Galerkin methods for time-harmonic Maxwell’s equations, workshop on “Wave Propagation
and Scattering, Inverse Problems and Applications in Energy and the Environment”, RICAM Linz, Austria,
November 21–25, 2011.
6 Other invitations, grants and prizes
Other conference invitations
• ICMS Workshop on “Boundary Value Problems for Linear Elliptic and Integrable PDEs”, Edinburgh (UK),
May 28–June 1, 2012; organised by J. Bona, S.N. Chandler-Wilde, B. Fornberg and B. Pelloni.
• Workshop on “Advances in Computational Wave Propagation”, University College London, UK, September
2–3, 2011; organised by T. Betcke.
• Workshop on “Next Generation Numerical Methods for Computational Wave Propagation”, Cambridge,
UK, September 17–18, 2010; organised by T. Betcke and P. Childs.
Grants
• International personal research fellowship “Fellowship for prospective researchers” at the Department of
Mathematics and Statistics of the University of Reading, March 2012–February 2013. Funded by the Swiss
National Science Foundation.
• Exchange Ph.D. student at the Chinese University of Hong Kong under the “Global Scholarship Programme
for Research Excellence—CNOOC Grants”, September–October 2009.
• Several small travel grant to attend conferences (WONAPDE in Concepción, DSPDEs in Barcelona, ESF
conference in Cambridge) while a PhD student.
Prizes
• Cinquini Cibrario prize, best master thesis in mathematics at the University of Pavia, 2008.
Invited research visits
• Laboratório Nacional de Computação Científica (LNCC), Petropolis (Brazil), January 23–27, 2012, invited by
F. Valentin.
• University College of London, April 11–13, 2011, invited by T. Betcke.
• University of Reading, April 5–8, 2011, invited by S.N. Chandler-Wilde.
• University of Reading, September 8–10, 2010, invited by T. Betcke.
7 Publications
Refereed journal papers
[1] A. Moiola, E.A. Spence, Is the Helmholtz equation really sign-indefinite?, to appear in SIAM Review,
(MPS-2012-23, Preprint Series, Department of Mathematics and Statistics, Reading).
[2] R. Hiptmair, A. Moiola, I. Perugia, Trefftz discontinuous Galerkin methods for acoustic scattering on locally
refined meshes; 2013, to appear in Appl. Numer. Math., DOI: 10.1016/j.apnum.2012.12.004 (preprint:
SAM report 2012-06, ETH Zürich).
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Andrea Moiola Curriculum Vitae Reading, 18th October 2013
[3] A. Moiola, Plane wave approximation in linear elasticity; Applicable Analysis, 92(6) 2013, pp. 1299–1307, DOI:
10.1080/00036811.2012.671300.
[4] R. Hiptmair, A. Moiola, I. Perugia, Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic
Maxwell equations; Math. Comput., 82(281) 2013, pp. 247–268, DOI:10.1090/S0025-5718-2012-02627-5.
[5] R. Hiptmair, A. Moiola, I. Perugia, Stability results for the time-harmonic Maxwell equations with impedance
boundary conditions; Math. Models Methods Appl. Sci, 21(11) 2011, pp. 2263–2287, DOI: 10.1142/
S021820251100574X.
[6] A. Moiola, R. Hiptmair, I. Perugia, Plane waves approximation of homogeneous Helmholtz solutions; Z. Angew.
Math. Phys, 62(5) 2011, pp. 809–837, DOI: 10.1007/s00033-011-0147-y.
[7] A. Moiola, R. Hiptmair, I. Perugia, Vekua theory for the Helmholtz operator; Z. Angew. Math. Phys, 62(5) 2011,
pp. 779–807, DOI: 10.1007/s00033-011-0142-3.
[8] R. Hiptmair, A. Moiola, I. Perugia, Plane wave discontinuous Galerkin methods for the 2D Helmholtz equation:
analysis of the p-version; Siam J. Numer. Anal., 49(1) 2011, pp. 264–284, DOI: 10.1137/090761057.
Reports and preprints
[9] R. Hiptmair, A. Moiola, I. Perugia, Plane wave discontinuous Galerkin methods: exponential convergence of the
hp-version, SAM report 2013-31, ETH Zürich / MPS-2013-31, Preprint Series, Department of Mathematics
and Statistics, Reading (submitted).
[10] C.J. Howarth, P.N. Childs, A. Moiola, Implementation of an interior point source in the ultra weak variational formulation
through source extraction, MPS-2013-11, Preprint Series, Department of Mathematics and Statistics,
Reading (submitted).
[11] R. Hiptmair, A. Moiola, I. Perugia, Ch. Schwab, Approximation by harmonic polynomials in star-shaped domains
and exponential convergence of Trefftz hp-dGFEM, SAM report 2012-38, ETH Zürich / MPS-2012-27, Preprint
Series, Department of Mathematics and Statistics, Reading (submitted).
[12] A. Moiola, Approximation properties of plane wave spaces and application to the analysis of the plane wave discontinuous
Galerkin method; SAM report 2009-06, ETH Zürich.
Conference proceedings
[13] A. Moiola, A sign-definite formulation of the Helmholtz impedance problem; in Mathematisches Forschungsinstitut
Oberwolfach Report 2013, to appear.
[14] A. Moiola, Approximation by plane waves; in Mathematisches Forschungsinstitut Oberwolfach Report
No. 10/2010, 2010, DOI: 10.4171/owr/2010/10.
Thesis
[15] A. Moiola, Trefftz-discontinuous Galerkin methods for time-harmonic wave problems; Ph.D. dissertation, 2011,
Seminar for applied mathematics, ETH Zürich.
Available at http://e-collection.library.ethz.ch/view/eth:4515 .
The preprints of the published papers and the reports are available on the following repositories:
http://www.sam.math.ethz.ch/sam_reports
http://www.imati.cnr.it/publications-pv.html
http://www.reading.ac.uk/maths-and-stats/research/maths-preprints.aspx
The accepted or published versions of some of the papers are available on:
http://centaur.reading.ac.uk/view/creators/90005242.html
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Andrea Moiola Curriculum Vitae Reading, 18th October 2013
8 Teaching
During the autumn term 2013 I am teaching the vector calculus class for second-year mathematics students at
Reading. I have taught the following tutorials:
• Autumn term 2013, foundation of mathematics, mathematics students, Reading.
• Autumn term 2012 and spring term 2013, algebra 1, mathematics students, Reading.
• Autumn semester 2010, numerical methods for CSE, computer science and CSE (computational science and
engineering) students, ETH Zürich.
• Spring semester 2010, numerical mathematics, mechanical engineering students, ETH Zürich.
• Autumn semester 2008, linear algebra, civil engineering students, ETH Zürich.
• Autumn semester 2006 and 2007, mathematical analysis and informatics, biotechnology students, Pavia.
• Autumn semester 2006 and 2007, “pre-class” of mathematics, biology students, Pavia.
For some of these courses, I have been in charge of the design of the teaching material, the preparation, the supervision
and the grading of the exams. I am currently supervising a PhD student (together with S.N. Chandler-
Wilde and S. Langdon), an MMath fourth year project and three BSc third year projects.
9 Other activities
Other conferences and summer schools attended
• From Spectral Gaps to Particle Filters workshop, Reading, September 17–18.
• Data Assimilation and Inverse Problems summer school, Reading, July 22–26.
• CNS 2013, Computational Neurosciences Meeting, Paris, France, July 13–18.
• NETT Neural Engineering summer school, Nottingham, UK, July 1–5.
• Meeting on Riemann-Hilbert problems and their applications, Reading, May 29–30.
• SIAM–UKIE annual meeting, Reading, January 8, 2013.
• Zürich Summer School 2012 on “A Posteriori Error Control and Adaptivity”, August 20–24, 2012, organised
by R. Hiptmair, S. Sauter and Ch. Schwab.
• “Mathmondes 2012”, French-British Network on Waves, Reading, July 9–10, 2012.
• Conference in honour of Nancy Nichols’ 70th birthday, Reading, July 2–3, 2012.
• Second international conference on Neural Field Theory, Reading, April 19–21, 2012.
• Numerical analysis postgraduate seminar day, Reading, March 30, 2012.
• Colloquium on “Analysis and numerics of partial differential equations”, in memory of Enrico Magenes,
Pavia, November 2–4, 2011.
• Pro ∗ Doc summer retreat with the applied math groups of ETH Zürich, Universität Zürich and Universität
Basel; Disentis, August 17–19, 2011.
• Swiss Numerics Colloquium – Colloque Numérique Suisse – Schweizer Numerik Kolloquium, Università
della Svizzera Italiana, Lugano, May 6, 2011.
• SamHyp – Numerical methods for hyperbolic equations, recent trends and future directions, February 18–19,
2011, conference organised by S. Mishra and Ch. Schwab.
• Zürich Summer School 2010 on “Sparse Tensor Discretisations of High-Dimensional Problems”, August 23–
27, 2010, organised by R. Hiptmair, S. Sauter and Ch. Schwab.
• ACE’10–6th Workshop on Advanced Computational Electromagnetics, ETH Zürich, July 5–7, 2010.
• Swiss Numerics Colloquium – Colloque Numérique Suisse – Schweizer Numerik Kolloquium, ETH Zürich,
April 16, 2010.
• Pro ∗ Doc summer retreat with the applied math groups of ETH Zürich, Universität Zürich and Universität
Basel; Disentis, August 16–19, 2009.
Professional affiliation
• SIAM, Society for Industrial and Applied Mathematics, since 2010.
• GNCS, Gruppo Nazionale di Calcolo Scientifico of the Istituto Nazionale di Alta Matematica (INdAM)
“Francesco Severi”.
• OCNS, Organization for Computational Neurosciences, since 2013.
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Andrea Moiola Curriculum Vitae Reading, 18th October 2013
Refereeing activity
Communications in Computational Physics (CiCP), IMA Journal of Numerical Analysis (IMA-JNA), Journal of
Computational Physics, Journal of Computational and Applied Mathematics (JCAM), Mathematical Modelling
and Numerical Analysis (M2AN), Mathematical Reviews / MathSciNet.
10 Scientific interests
• Numerical methods for PDEs; finite element methods; discontinuous Galerkin methods.
• FEM with non-polynomial basis; Trefftz methods.
• Computational electromagnetics and wave propagation.
• Vekua’s theory for elliptic PDEs and approximation by special functions.
• Stability and regularity of PDE solutions in polyhedral and non-smooth domains; wavenumber-explicit analysis
of time-harmonic boundary value problems; applications of Rellich- and Morawetz-type identities.
• Mathematical and computational neurosciences.
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