Existence and Uniqueness of Eddy Current Problems in Bounded ...

12 MICHAEL KOLMBAUER
[6] A. Buffa and P. Ciarlet, Jr. On traces for functional spaces related to Maxwell’s equations. I.
An integration by parts formula in Lipschitz polyhedra. Math. Methods Appl. Sci., 24(1):9–30,
2001.
[7] A. Buffa and P. Ciarlet, Jr. On traces for functional spaces related to Maxwell’s equations.
II. Hodge decompositions on the boundary of Lipschitz polyhedra and applications. Math.
Methods Appl. Sci., 24(1):31–48, 2001.
[8] M. Costabel. Symmetric methods for the coupling of finite elements and boundary elements
(invited contribution). In Boundary elements IX, Vol. 1 (Stuttgart, 1987), pages 411–420.
Comput. Mech., Southampton, 1987.
[9] R. Hiptmair. Symmetric coupling for eddy current problems. SIAM J. Numer. Anal.,
40(1):41–65 (electronic), 2002.
[10] B. K. S. Reitzinger and M. Kaltenbacher. A note on the approximation of b-h curves for
nonlinear magentic field computations. SFB-Report 02-30, SFB ”Numerical and Symbolic
Scientific Computing”, Johannes Kepler University Linz, 2002.
[11] S. Zaglmayr. High Order Finite Element Methods for Electromagnetic Field Computation.
PhD thesis, Universität Linz, Linz, 2006.
[12] E. Zeidler. Nonlinear functional analysis and its applications. II/A. Springer-Verlag, New
York, 1990. Linear monotone operators, Translated from the German by the author and Leo
F. Boron.
[13] E. Zeidler. Nonlinear functional analysis and its applications. II/B. Springer-Verlag, New
York, 1990. Nonlinear monotone operators, Translated from the German by the author and
Leo F. Boron.
(M. Kolmbauer) Institute of Computational Mathematics, JKU Linz
E-mail address: kolmbauer@numa.uni-linz.ac.at