The application of coupled BE/FE formulations in technical magnetic field computations

Computer Methods in Applied Mechanics and Engineering

Volumn 157, Issue 3-4, 1998, Pages 193-204

  Kuhn, M ^a  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY ELEMENT METHOD; FINITE ELEMENT METHOD; PARALLEL PROCESSING SYSTEMS; PROBLEM SOLVING;

DOMAIN DECOMPOSITION (DD) ALGORITHMS;

MAGNETIC FIELDS;

EID: 0032070398     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00234-X     Document Type: Article

References (20)

1. [1] J.H. Bramble, Z. Leyk and J.E. Pasciak, The analysis of multigrid algorithms for pseudodifferential operators of order minus one, Math. Comput. 63 (1994) 461-478.
2. [2] J.H. Bramble and J.E. Pasciak, A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems, Math. Comput. 50(181) (1988) 1-17.
3. [3] C. Carstensen, M. Kuhn and U. Langer, Fast parallel solvers for symmetric boundary element domain decomposition equations, Report 500, Inst. of Math., Johannes Kepler University Linz, 1996, Numer. Math., to appear.
4. [4] M. Costabel, Symmetric methods for the coupling of finite elements and boundary elements, in: C.A. Brebbia, W.L. Wendland and G. Kuhn, eds., Boundary Elements IX (Springer, Berlin, 1987) 411-420.
5. [5] M. Costabel, Boundary integral operators on Lipschitz domains: Elementary results, SIAM J. Math. Anal. 19 (1988) 613-626.
6. [6] M. Goppold, G. Haase, B. Heise and M. Kuhn, Preprocessing in BE/FE domain decomposition methods, Technical Report 96-2, Inst. of Math., Johannes Kepler University Linz, 1996.
7. [7] G. Haase, B. Heise, M. Jung, M. Kuhn and O. Steinbach, FEMOverlapping circles signBEM - a parallel solver for linear and nonlinear coupled FE/BE-equations, Priority Research Programme 'Boundary Element Methods', Report 94-16, University of Stuttgart, 1996.
8. [8] G. Haase, B. Heise, M. Kuhn and U. Langer, Adaptive domain decomposition methods for finite and boundary element equations, in: W. Wendland, ed., Reports from the Final Conference of the Priority Research Programme Boundary Element Methods 1989-1995 (Springer, Heidelberg, 1997) 112-138.
9. [9] G. Haase and U. Langer, The non-overlapping domain decomposition multiplicative Schwarz method, Int. J. Comput. Math. 44 (1992) 223-242.
10. [10] G. Haase, U. Langer and A. Meyer, The approximate Dirichlet domain decomposition method. Part 1: An algebraic approach. Part II: Applications to 2nd-order elliptic boundary value problems, Computing 47 (1991) 137-151 (Part I), 153-167 (Part II).
11. [11] G. Haase, U. Langer, A. Meyer and S.V. Nepomnyaschikh, Hierarchical extension operators and local multigrid methods in domain decomposition preconditioners, East-West J. Numer. Math. 2(3) (1994) 173-193.
12. [12] K. Hauser and S. Reizinger, Magnetfeldstörung. Seminar report, Inst. of Math., Johannes Kepler University Linz, 1996.
13. [13] B. Heise, Analysis of a fully discrete finite element method for a nonlinear magnetic field problem. SIAM J. Numer. Anal. 31(3) (1994) 745-759.
14. [14] B. Heise and M. Jung, Parallel solvers for nonlinear elliptic problems based on domain decomposition ideas, Parallel Comput. 22 (1997) 1527-1544.
15. [15] B. Heise and M. Kuhn, Parallel solvers for linear and nonlinear exterior magnetic field problems based upon coupled FE/BE formulations, Computing 56(3) (1996) 237-258.
16. [16] G.C. Hsiao and W.L. Wendland, Domain decomposition in boundary element methods, in: R. Glowinski, Y.A. Kuznetsov, G. Meurant, J. Périaux and O.B. Widlund, eds., Proc. IVth Int. Symposium on Domain Decomposition Methods, Moscow, May 1990 (SIAM Publ., Philadelphia, 1991) 41-49.
17. [17] M. Jung, U. Langer, A. Meyer, W. Queck and M. Schneider, Multigrid preconditioned and their applications, in: G. Telschow, ed., Third Multigrid Seminar, Biesenthal 1988, Report R-MATH-03/89 (Karl-Weierstrass-Institut, Berlin, 1989) 11-52.
18. [18] U. Langer, Parallel iterative solution of symmetric coupled FE/BE-equations via domain decomposition, Contemp. Math. 157 (1994) 335-344.
19. [19] O. Steinbach, Galerkin-und Kollokationsdiskretisierungen für Randintegralgleichungen in 2D, Report 96-5, University of Stuttgart, 1996.
20. [20] T.v. Petersdorf and E.P. Stephan, On the convergence of the multigrid method for a hypersingular integral equation of the first kind, Numer. Math. 57 (1990) 379-391.