-
1
-
-
0001747884
-
Une méthode d'éléments finis hybrides en décomposition de domaines
-
A. Agouzal, J.-M. Thomas: Une méthode d'éléments finis hybrides en décomposition de domaines. Math. Modell. Numer. Anal. 29 (1995) 749-764.
-
(1995)
Math. Modell. Numer. Anal
, vol.29
, pp. 749-764
-
-
Agouzal, A.1
Thomas, J.-M.2
-
2
-
-
5844381624
-
Approximation of boundary element matrices
-
M. Bebendorf: Approximation of boundary element matrices. Numer. Math. 86 (2000) 565-589.
-
(2000)
Numer. Math
, vol.86
, pp. 565-589
-
-
Bebendorf, M.1
-
3
-
-
0041841599
-
Adaptive low-rank approximation of collocation matrices
-
M. Bebendorf, S. Rjasanow: Adaptive low-rank approximation of collocation matrices. Computing 70 (2003) 1-24.
-
(2003)
Computing
, vol.70
, pp. 1-24
-
-
Bebendorf, M.1
Rjasanow, S.2
-
4
-
-
34248203111
-
-
C. Bernardi, Y. Maday, A. T. Patera: A new nonconforming approach to domain decompostion: The mortar element method. In: Nonlinear partial differential equations and their applications. Collége de France Seminar, XI (H. Brezis, J. L. Lions eds.), Pitmans Research Notes Mathematics Series, 299, Longman, pp. 13-51, 1994.
-
C. Bernardi, Y. Maday, A. T. Patera: A new nonconforming approach to domain decompostion: The mortar element method. In: Nonlinear partial differential equations and their applications. Collége de France Seminar, Vol. XI (H. Brezis, J. L. Lions eds.), Pitmans Research Notes Mathematics Series, Vol. 299, Longman, pp. 13-51, 1994.
-
-
-
-
5
-
-
84966214346
-
A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems
-
J. H. Bramble, J. E. Pasciak: A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems. Math. Comp. 50 (1988) 1-17.
-
(1988)
Math. Comp
, vol.50
, pp. 1-17
-
-
Bramble, J.H.1
Pasciak, J.E.2
-
6
-
-
0003424388
-
-
Springer, Berlin, Heidelberg, New York, Tokyo
-
C. A. Brebbia, J. C. F. Telles, L. C. Wrobel: Boundary Element Techniques. Springer, Berlin, Heidelberg, New York, Tokyo, 1984.
-
(1984)
Boundary Element Techniques
-
-
Brebbia, C.A.1
Telles, J.C.F.2
Wrobel, L.C.3
-
7
-
-
0142087017
-
An additive Schwarz preconditioner for the FETI method
-
S. C. Brenner: An additive Schwarz preconditioner for the FETI method. Numer. Math. 94 (2003) 1-31.
-
(2003)
Numer. Math
, vol.94
, pp. 1-31
-
-
Brenner, S.C.1
-
8
-
-
51249185923
-
On the coupling of boundary integral and finite element methods
-
F. Brezzi, C. Johnson: On the coupling of boundary integral and finite element methods. Calcolo 16 (1979) 189-201.
-
(1979)
Calcolo
, vol.16
, pp. 189-201
-
-
Brezzi, F.1
Johnson, C.2
-
10
-
-
0039835184
-
Fast parallel solvers for symmetric boundary element domain decomposition equations
-
C. Carstensen, M. Kuhn, U. Langer: Fast parallel solvers for symmetric boundary element domain decomposition equations. Numer. Math. 79 (1998) 321-347.
-
(1998)
Numer. Math
, vol.79
, pp. 321-347
-
-
Carstensen, C.1
Kuhn, M.2
Langer, U.3
-
11
-
-
0000599701
-
Symmetric methods for the coupling of finite elements and boundary elements
-
C. A. Brebbia, G. Kuhn, W. L. Wendland eds, Springer, Berlin, pp
-
M. Costabel: Symmetric methods for the coupling of finite elements and boundary elements. In: Boundary Elements IX (C. A. Brebbia, G. Kuhn, W. L. Wendland eds.), Springer, Berlin, pp. 411-420, 1987.
-
(1987)
Boundary Elements IX
, pp. 411-420
-
-
Costabel, M.1
-
12
-
-
0000438610
-
Boundary integral operators on Lipschitz domains: Elementary results
-
M. Costabel: Boundary integral operators on Lipschitz domains: Elementary results. SIAM J. Math. Anal. 19 (1988) 613-626.
-
(1988)
SIAM J. Math. Anal
, vol.19
, pp. 613-626
-
-
Costabel, M.1
-
13
-
-
0025505601
-
Coupling of finite and boundary element methods for an elastoplastic interface problem
-
M. Costabel, E. P. Stephan: Coupling of finite and boundary element methods for an elastoplastic interface problem. SIAM J. Numer. Anal. 27 (1990) 1212-1226.
-
(1990)
SIAM J. Numer. Anal
, vol.27
, pp. 1212-1226
-
-
Costabel, M.1
Stephan, E.P.2
-
14
-
-
51249161722
-
Wavelet approximation methods for pseudodifferential equations I: Stability and convergence
-
W. Dahmen, S. Prössdorf, R. Schneider: Wavelet approximation methods for pseudodifferential equations I: Stability and convergence. Math. Z. 215 (1994) 583-620.
-
(1994)
Math. Z
, vol.215
, pp. 583-620
-
-
Dahmen, W.1
Prössdorf, S.2
Schneider, R.3
-
15
-
-
10044224831
-
A tutorial on elliptic PDE solvers and their parallelization
-
SIAM, Philadelphia
-
C. C. Douglas, G. Haase, U. Langer: A tutorial on elliptic PDE solvers and their parallelization. Software, Environments, and Tools, 16. SIAM, Philadelphia, 2003.
-
(2003)
Software, Environments, and Tools
, vol.16
-
-
Douglas, C.C.1
Haase, G.2
Langer, U.3
-
17
-
-
0026239487
-
A method of finite element tearing and interconnecting and its parallel solution algorithm
-
C. Farhat, F.-X. Roux: A method of finite element tearing and interconnecting and its parallel solution algorithm. Internat. J. Numer. Methods Engrg. 32 (1991) 1205-1227.
-
(1991)
Internat. J. Numer. Methods Engrg
, vol.32
, pp. 1205-1227
-
-
Farhat, C.1
Roux, F.-X.2
-
18
-
-
0042899491
-
The BPX preconditioner for the single layer potential operator
-
S. A. Funken, E. P. Stephan: The BPX preconditioner for the single layer potential operator. Appl. Anal. 67 (1997) 327-340.
-
(1997)
Appl. Anal
, vol.67
, pp. 327-340
-
-
Funken, S.A.1
Stephan, E.P.2
-
19
-
-
0008656748
-
Adaptive domain decomposition methods for finite and boundary element equations
-
W. L. Wendland ed, Springer, Berlin, Heidelberg, New York
-
G. Haase, B. Heise, M. Kuhn, U. Langer: Adaptive domain decomposition methods for finite and boundary element equations. In: Boundary Element Topics (W. L. Wendland ed.), Springer, Berlin, Heidelberg, New York, 1997.
-
(1997)
Boundary Element Topics
-
-
Haase, G.1
Heise, B.2
Kuhn, M.3
Langer, U.4
-
20
-
-
0032637646
-
A sparse matrix arithmetic based on ℋ-matrices
-
W. Hackbusch: A sparse matrix arithmetic based on ℋ-matrices. Computing 62 (1999) 89-108.
-
(1999)
Computing
, vol.62
, pp. 89-108
-
-
Hackbusch, W.1
-
21
-
-
0001617415
-
On the fast matrix multiplication in the boundary element method by panel clustering
-
W. Hackbusch, Z. P. Nowak: On the fast matrix multiplication in the boundary element method by panel clustering. Numer. Math. 54 (1989) 463-491.
-
(1989)
Numer. Math
, vol.54
, pp. 463-491
-
-
Hackbusch, W.1
Nowak, Z.P.2
-
22
-
-
0036556543
-
Symmetric coupling for eddy current problems
-
R. Hiptmair: Symmetric coupling for eddy current problems. SIAM J. Numer. Anal. 40 (2002) 41-65.
-
(2002)
SIAM J. Numer. Anal
, vol.40
, pp. 41-65
-
-
Hiptmair, R.1
-
24
-
-
0034318758
-
-
G. C. Hsiao, E. Schnack, W. L. Wendland: Hybrid coupled finite-boundary element methods for elliptic systems of second order. Cpmput. Methods Appl. Mech. Engrg. 190 (2000) 431-485.
-
G. C. Hsiao, E. Schnack, W. L. Wendland: Hybrid coupled finite-boundary element methods for elliptic systems of second order. Cpmput. Methods Appl. Mech. Engrg. 190 (2000) 431-485.
-
-
-
-
25
-
-
0034515401
-
Domain decomposition methods via boundary integral equations
-
G. C. Hsiao, O. Steinbach, W. L. Wendland: Domain decomposition methods via boundary integral equations. J. Comput. Appl. Math. 125 (2000) 523-539.
-
(2000)
J. Comput. Appl. Math
, vol.125
, pp. 523-539
-
-
Hsiao, G.C.1
Steinbach, O.2
Wendland, W.L.3
-
26
-
-
34248222611
-
-
G. C. Hsiao, W. L. Wendland: Domain decomposition methods in boundary element methods. In: Domain Decomposition Methods for Partial Differential Equations (R. Glowinski et. al. eds.), Proceedings of the Fourth International Conference on Domain Decomposition Methods, SIAM, Baltimore, pp. 41-49, 1990.
-
G. C. Hsiao, W. L. Wendland: Domain decomposition methods in boundary element methods. In: Domain Decomposition Methods for Partial Differential Equations (R. Glowinski et. al. eds.), Proceedings of the Fourth International Conference on Domain Decomposition Methods, SIAM, Baltimore, pp. 41-49, 1990.
-
-
-
-
27
-
-
84966247121
-
On coupling of boundary integral and finite element methods
-
C. Johnson, J. C. Nedelec: On coupling of boundary integral and finite element methods. Math. Comp. 35 (1980) 1063-1079.
-
(1980)
Math. Comp
, vol.35
, pp. 1063-1079
-
-
Johnson, C.1
Nedelec, J.C.2
-
28
-
-
29044438245
-
Numerical Solution of Elliptic Differential Equations by Reduction to the Interface
-
Springer, Berlin
-
B. N. Khoromskij, G. Wittum: Numerical Solution of Elliptic Differential Equations by Reduction to the Interface. Lecture Notes in Computational Science and Engineering 36, Springer, Berlin, 2004.
-
(2004)
Lecture Notes in Computational Science and Engineering
, vol.36
-
-
Khoromskij, B.N.1
Wittum, G.2
-
29
-
-
34248231228
-
Some computational results for robust FETI-DP methods applied to heterogeneous elasticity problems in 3D
-
Proceedings of the 16th International Conference on Domain Decomposition Methods in Science and Engineering D. Keyes and O. Widlund, eds, New York, USA, January 12-15, Springer, Berlin, to appear
-
A. Klawonn, O. Rheinbach: Some computational results for robust FETI-DP methods applied to heterogeneous elasticity problems in 3D. In: Proceedings of the 16th International Conference on Domain Decomposition Methods in Science and Engineering (D. Keyes and O. Widlund, eds), New York, USA, January 12-15, 2005. Lecture Notes in Computational Science and Engineering, Springer, Berlin, 2006, to appear.
-
(2005)
Lecture Notes in Computational Science and Engineering
-
-
Klawonn, A.1
Rheinbach, O.2
-
30
-
-
0035526706
-
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
-
A. Klawonn, O. B. Widlund: FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Comm. Pure Appl. Math. 54 (2001) 57-90.
-
(2001)
Comm. Pure Appl. Math
, vol.54
, pp. 57-90
-
-
Klawonn, A.1
Widlund, O.B.2
-
31
-
-
0037170851
-
Symmetric coupling of finite and boundary elements for exterior magnetic field problems
-
M. Kuhn, O. Steinbach: Symmetric coupling of finite and boundary elements for exterior magnetic field problems. Math. Methods Appl. Sci. 25 (2002) 357-371.
-
(2002)
Math. Methods Appl. Sci
, vol.25
, pp. 357-371
-
-
Kuhn, M.1
Steinbach, O.2
-
32
-
-
0000441803
-
Parallel iterative solution of symmetric coupled fe/be equations via domain decomposition
-
U. Langer: Parallel iterative solution of symmetric coupled fe/be equations via domain decomposition. Contemp. Math. 157 (1994) 335-344.
-
(1994)
Contemp. Math
, vol.157
, pp. 335-344
-
-
Langer, U.1
-
34
-
-
34248214104
-
Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems
-
to appear
-
U. Langer, C. Pechstein: Coupled finite and boundary element tearing and interconnecting solvers for nonlinear potential problems. ZAMM, to appear.
-
ZAMM
-
-
Langer, U.1
Pechstein, C.2
-
35
-
-
20444454652
-
Data sparse algebraic multigrid methods for large scale boundary element equations
-
U. Langer, D. Pusch: Data sparse algebraic multigrid methods for large scale boundary element equations. Appl. Numer. Math. 54 (2005) 406-424.
-
(2005)
Appl. Numer. Math
, vol.54
, pp. 406-424
-
-
Langer, U.1
Pusch, D.2
-
36
-
-
0346272618
-
Boundary element tearing and interconnecting methods
-
U. Langer, O. Steinbach: Boundary element tearing and interconnecting methods. Computing 71 (2003) 205-228.
-
(2003)
Computing
, vol.71
, pp. 205-228
-
-
Langer, U.1
Steinbach, O.2
-
37
-
-
84880351877
-
Coupled boundary and finite element tearing and interconnecting methods
-
Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition R. Kornhuber et. al. eds, Berlin, Germany, July 21-25, Springer, Berlin
-
U. Langer, O. Steinbach: Coupled boundary and finite element tearing and interconnecting methods. In: Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition (R. Kornhuber et. al. eds.), Berlin, Germany, July 21-25, 2003. Lecture Notes in Computational Science and Engineering 40, pp. 83-97. Springer, Berlin, 2005.
-
(2003)
Lecture Notes in Computational Science and Engineering
, vol.40
, pp. 83-97
-
-
Langer, U.1
Steinbach, O.2
-
39
-
-
33645141424
-
A fast multipole boundary element method for a modified hypersingular boundary integral equation
-
Proceedings of the International Conference on Multifield Problems M. Efendiev, W. L. Wendland eds, Springer, Berlin, pp
-
G. Of, O. Steinbach: A fast multipole boundary element method for a modified hypersingular boundary integral equation. In: Proceedings of the International Conference on Multifield Problems (M. Efendiev, W. L. Wendland eds.), Springer Lecture Notes in Applied Mechanics vol. 12, Springer, Berlin, pp. 163-169, 2003.
-
(2003)
Springer Lecture Notes in Applied Mechanics
, vol.12
, pp. 163-169
-
-
Of, G.1
Steinbach, O.2
-
40
-
-
34248156700
-
-
C. Polizzotto: A symmetric-definite BEM formulation for the elastoplastic rate problem. Boundary elements IX, 2 (Stuttgart, 1987), pp. 315-334, Comput. Mech., Southampton, 1987.
-
C. Polizzotto: A symmetric-definite BEM formulation for the elastoplastic rate problem. Boundary elements IX, Vol. 2 (Stuttgart, 1987), pp. 315-334, Comput. Mech., Southampton, 1987.
-
-
-
-
42
-
-
46549096170
-
Rapid solution of integral equations of classical potential theory
-
V. Rokhlin: Rapid solution of integral equations of classical potential theory. J. Comput. Phys. 60 (1985) 187-207.
-
(1985)
J. Comput. Phys
, vol.60
, pp. 187-207
-
-
Rokhlin, V.1
-
44
-
-
0036347670
-
A numerical study of FETI algorithms for mortar finite element methods
-
D. Stefanica: A numerical study of FETI algorithms for mortar finite element methods. SIAM J. Sci. Comput. 23 (2001) 1135-1160.
-
(2001)
SIAM J. Sci. Comput
, vol.23
, pp. 1135-1160
-
-
Stefanica, D.1
-
45
-
-
0039829372
-
Boundary elements in domain decomposition
-
O. Steinbach: Boundary elements in domain decomposition. Contemp. Math. 180 (1994) 343-348.
-
(1994)
Contemp. Math
, vol.180
, pp. 343-348
-
-
Steinbach, O.1
-
47
-
-
0034447879
-
Mixed approximations for boundary elements
-
O. Steinbach: Mixed approximations for boundary elements. SIAM J. Numer. Anal. 38 (2000) 401-413.
-
(2000)
SIAM J. Numer. Anal
, vol.38
, pp. 401-413
-
-
Steinbach, O.1
-
48
-
-
20444483196
-
Stability estimates for hybrid coupled domain decomposition methods
-
Springer, Berlin, Heidelberg, New York
-
O. Steinbach: Stability estimates for hybrid coupled domain decomposition methods. Lecture Notes in Mathematics vol. 1809, Springer, Berlin, Heidelberg, New York, 2003.
-
(2003)
Lecture Notes in Mathematics
, vol.1809
-
-
Steinbach, O.1
-
50
-
-
29044433852
-
Artificial multilevel boundary element preconditioners
-
O. Steinbach: Artificial multilevel boundary element preconditioners. Proc. Appl. Math. Mech. 3 (2003) 539-542.
-
(2003)
Proc. Appl. Math. Mech
, vol.3
, pp. 539-542
-
-
Steinbach, O.1
-
51
-
-
0032359242
-
The construction of some efficient preconditioners in the boundary element method
-
O. Steinbach, W. L. Wendland: The construction of some efficient preconditioners in the boundary element method. Adv. Comput. Math. 9 (1998) 191-216.
-
(1998)
Adv. Comput. Math
, vol.9
, pp. 191-216
-
-
Steinbach, O.1
Wendland, W.L.2
-
52
-
-
0035888632
-
On C. Neumann's method for second order elliptic systems in domains with non-smooth boundaries
-
O. Steinbach, W. L. Wendland: On C. Neumann's method for second order elliptic systems in domains with non-smooth boundaries. J. Math. Anal. Appl. 262 (2001) 733-748.
-
(2001)
J. Math. Anal. Appl
, vol.262
, pp. 733-748
-
-
Steinbach, O.1
Wendland, W.L.2
-
53
-
-
0034509269
-
Multilevel methods for h-, p-, and hp versions of the boundary element method
-
E. P. Stephan: Multilevel methods for h-, p-, and hp versions of the boundary element method. J. Comput. Appl. Math. 125 (2000) 503-519.
-
(2000)
J. Comput. Appl. Math
, vol.125
, pp. 503-519
-
-
Stephan, E.P.1
-
54
-
-
30344453071
-
Dual-primal FETI algorithms for edge finite-element approximations in 3D
-
A. Toselli: Dual-primal FETI algorithms for edge finite-element approximations in 3D. IMA J. Numer. Anal. 26 (2006) 96-130.
-
(2006)
IMA J. Numer. Anal
, vol.26
, pp. 96-130
-
-
Toselli, A.1
-
56
-
-
0001506755
-
On asymptotic error estimates for comined BEM and FEM
-
Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View E. Stein, W. L. Wendland eds, Springer, Wien, New York, pp
-
W. L. Wendland: On asymptotic error estimates for comined BEM and FEM. In: Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View (E. Stein, W. L. Wendland eds.), CISM Courses and Lectures 301, Springer, Wien, New York, pp. 273-333, 1988.
-
(1988)
CISM Courses and Lectures
, vol.301
, pp. 273-333
-
-
Wendland, W.L.1
-
57
-
-
0003324460
-
Discretization Methods and Iterative Solvers Based on Domain Decomposition
-
Springer, Berlin
-
B. I. Wohlmuth: Discretization Methods and Iterative Solvers Based on Domain Decomposition. Lecture Notes in Computational Science and Engineering 17, Springer, Berlin, 2001.
-
(2001)
Lecture Notes in Computational Science and Engineering
, vol.17
-
-
Wohlmuth, B.I.1
-
58
-
-
0017438738
-
The coupling of the finite element method and boundary solution procedures
-
O. C. Zienkiewicz, D. M. Kelly, P. Bettes: The coupling of the finite element method and boundary solution procedures. Int. J. Numer. Meth. Eng. 11 (1977) 355-376.
-
(1977)
Int. J. Numer. Meth. Eng
, vol.11
, pp. 355-376
-
-
Zienkiewicz, O.C.1
Kelly, D.M.2
Bettes, P.3
-
59
-
-
0006096210
-
Marriage a la mode? the best of both worlds (Finite elements and boundary integrals)
-
R. Glowinski, E. Y. Rodin, O. C. Zienkiewicz eds, Chapter 5, J. Wiley and Son, London, pp
-
O. C. Zienkiewicz, D. M. Kelly, P. Bettes: Marriage a la mode? the best of both worlds (Finite elements and boundary integrals). In: Energy Methods in Finite Element Analysis (R. Glowinski, E. Y. Rodin, O. C. Zienkiewicz eds.), Chapter 5, J. Wiley and Son, London, pp. 81-106, 1979.
-
(1979)
Energy Methods in Finite Element Analysis
, pp. 81-106
-
-
Zienkiewicz, O.C.1
Kelly, D.M.2
Bettes, P.3
|