Adaptive multigrid and domain decomposition methods in the computation of electromagnetic fields

Journal of Computational and Applied Mathematics

Volumn 168, Issue 1-2, 2004, Pages 245-254

  Hoppe, R H W ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

A posteriori error estimation; Domain decomposition; Edge elements; Electromagnetic field computation; Multigrid methods

Indexed keywords

COMPUTATIONAL METHODS; EDDY CURRENTS; ELECTRIC DRIVES; ELECTRIC MOTORS; PROBLEM SOLVING;

ADAPTIVE MULTIGRIDS; HIGH-POWER ELECTROMOTORS;

ELECTROMAGNETIC FIELDS;

MATHEMATICAL ANALYSIS;

EID: 2942578926     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.05.023     Document Type: Article

References (18)

1. Beck R. Deuflhard P. Hiptmair R. Hoppe R.H.W. Wohlmuth B. Adaptive multilevel methods for edge element discretizations of Maxwell's equations Surveys Math. Ind. 8 1999 271-312
2. Beck R. Hiptmair R. Hoppe R.H.W. Wohlmuth B. Residual based a posteriori error estimators for eddy current computation Math. Modelling Numer. Anal. 34 2000 159-182
3. F. BenBelgacem, A. Buffa, Y. Maday, The mortar finite element method for 3D Maxwell equations: first results, Report 99023, Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Paris, 1999.
4. BenBelgacem F. Maday Y. The mortar element method for three dimensional finite elements Math. Modelling Numer. Anal. 31 1997 289-302
5. Boffi D. Brezzi F. Gastaldi L. Mixed finite elements for Maxwell's eigenproblem: the question of spurious modes Bock H.G. et-al Proceedings of the Second European Conference on Numerical Mathematics and Advanced Applications, Heidelberg, Germany, September 28-October 3, 1997 1998 180-187 World Scientific Singapore
6. Bossavit A. Computational Electromagnetism. Variational Formulation, Complementarity, Edge Elements 1998 Academic Press San Diego, CA
7. Braess D. Dahmen W. Stability estimates of the mortar finite element method for 3-dimensional problems East-West J. Numer. Math. 6 1998 249-264
8. Brezzi F. Fortin M. Mixed and Hybrid Finite Element Methods 1991 Springer Berlin, Heidelberg, New York
9. Hiptmair R. Multigrid method for Maxwell's equations SIAM J. Numer. Anal. 36 1999 204-225
10. 3 East-West J. Numer. Anal. 7 1999 159-173
11. R.H.W. Hoppe, Efficient numerical solution techniques in electromagnetic field computation, in: Proceedings of the Conference of ECCM 2001, Cracow, Poland, June 26-29, 2001 (CD-ROM).
12. R.H.W. Hoppe, Adaptive domain decomposition techniques in electromagnetic field computation and electrothermomechanical coupling problems, in: F. Brezzi, et al. (Eds.), Proceedings of the Fourth European Conference on Numer. Math. and Advanced Applications, Ischia, Italy, July 23-27, 2001, Springer, Milan, 2003, pp. 201-218.
13. Hoppe R.H.W. Iliash Y. Kuznetsov Y. Vassilevski Y. Wohlmuth B. Analysis and parallel implementation of adaptive mortar element methods East-West J. Numer. Math. 6 1998 223-248
14. Hoppe R.H.W. Petrova S. Schulz V. Topology optimization of high power electronic devices Hoffmann K.H. et-al Proceedings of the Oberwolfach Conference Optimale Steuerung komplexer dynamischer Strukturen, June 4-10, Oberwolfach, Germany International Series of Numerical Mathematics Vol. 139 2002 119-131 Birkhäuser Basel
15. R.H.W. Hoppe, S. Petrova, V. Schulz, 3D structural optimization in electromagnetics, in: M. Garbey, et al., (Eds.), Proceedings of the 13th International Conference on Domain Decomposition Methods and Applications, Lyon, October 9-12, 2000, 2002.
16. Hoppe R.H.W. Petrova S. Schulz V. A primal-dual Newton-type interior-point method for topology optimization J. Optim. Theory Appl. 114 2002 545-571
17. 3 Numer. Math. 35 1980 315-341
18. F. Rapetti, Approximation des equations de la magnetodynamique en domaine tournant par la méthode des elements avec joints, Ph.D. Thesis, Université Pierre et Marie Curie, Paris, 2000.