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Widlund, Olof B.

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Author ID: widlund.olof-b Recent zbMATH articles by "Widlund, Olof B."
Published as: Widlund, Olof B.; Widlund, Olof; Widlund, O. B.; Widlund, O.
External Links: MGP · Wikidata
Documents Indexed: 121 Publications since 1961, including 1 Book
18 Contributions as Editor
Reviewing Activity: 56 Reviews
Biographic References: 1 Publication
all top 5

Co-Authors

33 single-authored
19 Pavarino, Luca Franco
15 Klawonn, Axel
14 Dohrmann, Clark R.
14 Dryja, Maksymilian
8 Zampini, Stefano
6 Périaux, Jacques F.
6 Scacchi, Simone
5 Bjørstad, Petter Erling
5 Kim, Hyea Hyun
4 Beirão da Veiga, Lourenço
4 Cai, Xiao-Chuan
4 Glowinski, Roland
4 Keyes, David Elliot
4 Kornhuber, Ralf
3 Li, Jing
3 Proskurowski, Włodzimierz
3 Rheinbach, Oliver
3 Toselli, Andrea
3 Wohlmuth, Barbara I.
3 Xu, Jinchao
2 Achdou, Yves
2 Ashby, Steve
2 Börgers, Christoph
2 Calvo, Juan G.
2 Casarin, Mario A.
2 Chan, Tony Fan-Cheong
2 Elman, Howard C.
2 Freund, Roland W.
2 Gander, Martin Jakob
2 Goldfeld, Paulo
2 Golub, Gene Howard
2 Greenbaum, Anne
2 Hald, Ole Hansen
2 Kuznetsov, Yurii Alekseevich
2 Maday, Yvon
2 O’Leary, Dianne P.
2 Parter, Seymour V.
2 Saylor, Paul E.
2 Smith, Barry F.
2 Walker, Homer F.
1 Bank, Randolph E.
1 Bercovier, Michel
1 Brenner, Susanne Cecelia
1 Cai, Mingchao
1 Chung, Tsz Shun Eric
1 Cross, Mark
1 Discacciati, Marco
1 Elliott, Frank W. jun.
1 Erhel, Jocelyne
1 Halpern, Laurence
1 Halpern, Lawrence
1 Heinlein, Alexander
1 Herrera, Ismael
1 Holst, Michael J.
1 Hoppe, Ronald H. W.
1 Huang, Yunqing
1 Knyazev, Andrew V.
1 Kreiss, Heinz-Otto
1 Lai, Choi-Hong
1 Langer, Ulrich
1 Lee, Chang-Ock
1 Meurant, Gérard A.
1 Oh, Duk-Soon
1 Park, Eun-Jae
1 Pichot, Géraldine
1 Pierson, Kendall H.
1 Pironneau, Olivier
1 Quarteroni, Alfio M.
1 Rahman, Talal
1 Sarkis, Marcus V.
1 Sassi, Taoufik
1 Szyld, Daniel B.
1 Thomée, Vidar
1 Yates, Robert A.
1 Zulehner, Walter

Publications by Year

Citations contained in zbMATH Open

121 Publications have been cited 2,697 times in 1,524 Documents Cited by Year
Domain decomposition methods – algorithms and theory. Zbl 1069.65138
Toselli, Andrea; Widlund, Olof
633
2005
Iterative methods for the solution of elliptic problems on regions partitioned into substructures. Zbl 0615.65113
Bjørstad, Petter E.; Widlund, Olof B.
123
1986
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
91
2002
Domain decomposition algorithms with small overlap. Zbl 0802.65119
Dryja, Maksymilian; Widlund, Olof B.
80
1994
Dual-primal FETI methods for linear elasticity. Zbl 1110.74053
Klawonn, Axel; Widlund, Olof B.
72
2006
Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085
Cai, Xiao-Chuan; Widlund, Olof B.
68
1992
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120
Klawonn, Axel; Widlund, Olof B.
66
2001
FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142
Li, Jing; Widlund, Olof B.
64
2006
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114
Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B.
62
1994
Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Zbl 0857.65131
Dryja, Maksymilian; Sarkis, Markus V.; Widlund, Olof B.
59
1996
A Lanczos method for a class of nonsymmetric systems of linear equations. Zbl 0398.65030
Widlund, Olof
52
1978
A note on unconditionally stable linear multistep methods. Zbl 0178.18502
Widlund, O. B.
48
1967
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
46
2008
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
44
2014
On the numerical solution of Helmholtz’s equation by the capacitance matrix method. Zbl 0332.65057
Proskurowski, Wlodzimierz; Widlund, Olof
42
1976
Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025
Pavarino, Luca F.; Widlund, Olof B.
40
2002
Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084
Dryja, Maksymilian; Widlund, Olof B.
39
1990
Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Zbl 0824.65106
Dryja, Maksymilian; Widlund, Olof B.
39
1995
BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077
Li, Jing; Widlund, Olof
37
2006
Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110
Achdou, Yves; Maday, Yvon; Widlund, Olof
35
1998
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007
Pavarino, Luca F.; Widlund, Olof B.
32
1996
Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016
Cai, Xiao-Chuan; Widlund, Olof B.
31
1993
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
29
2008
Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
29
2017
On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065
Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O.
28
1974
On the use of inexact subdomain solvers for BDDC algorithms. Zbl 1173.65365
Li, Jing; Widlund, Olof B.
27
2007
An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295
Calvo, Juan G.; Widlund, Olof B.
27
2016
Smoothing of initial data and rates of convergence for parabolic difference equations. Zbl 0188.41001
Kreiss, H. O.; Thomee, V.; Widlund, O.
27
1970
BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. Zbl 1380.65065
Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R.
27
2018
Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021
Dryja, Maksymilian; Widlund, Olof B.
25
1992
Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Zbl 1169.65346
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
25
2003
Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. Zbl 1267.65193
Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B.
24
2013
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
23
2009
A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145
Klawonn, Axel; Widlund, Olof B.
23
2000
Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Zbl 0772.65025
Widlund, Olof B.
21
1992
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
21
2010
A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
21
2016
Multilevel additive methods for elliptic finite element problems. Zbl 0783.65057
Dryja, Maksymilian; Widlund, Olof B.
19
1991
High order fast Laplace solvers for the Dirichlet problem on general regions. Zbl 0348.65090
Pereyra, Victor; Proskurowski, Wlodzimierz; Widlund, Olof
19
1977
BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058
Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano
19
2010
Capacitance matrix methods for the Helmholtz equation on general three- dimensional regions. Zbl 0407.65047
O’Leary, Dianne P.; Widlund, Olof
18
1979
On finite element domain imbedding methods. Zbl 0705.65078
Börgers, Christoph; Widlund, Olof B.
18
1990
Stability of parabolic difference schemes in the maximum norm. Zbl 0173.44805
Widlund, O. B.
17
1966
Overlapping Schwarz algorithms for solving Helmholtz’s equation. Zbl 0909.65104
Cai, Xiao-Chuan; Casarin, Mario A.; Elliott, Frank W. jun.; Widlund, Olof B.
16
1998
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
16
2008
Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. Zbl 1014.65121
Knyazev, Andrew; Widlund, Olof
13
2003
A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105
Casarin, Mario A.; Widlund, Olof B.
13
1996
To overlap or not to overlap: A note on a domain decomposition method for elliptic problems. Zbl 0678.65069
Bjørstad, Petter E.; Widlund, Olof B.
13
1989
An iterative substructuring method for Raviart-Thomas vector fields in three dimensions. Zbl 0956.65115
Wohlmuth, Barbara I.; Toselli, Andrea; Widlund, Olof B.
12
2000
Iterative substructuring methods for spectral element discretizations of elliptic systems. II: Mixed methods for linear elasticity and Stokes flow. Zbl 0951.65123
Pavarino, Luca F.; Widlund, Olof B.
12
1999
Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane. Zbl 0662.65097
Widlund, Olof B.
12
1988
An iterative substructuring method for Maxwell’s equations in two dimensions. Zbl 1017.78008
Toselli, Andrea; Widlund, Olof B.; Wohlmuth, Barbara I.
11
2001
An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
11
2012
Method of domain decomposition with cross points for elliptic finite element problems. Zbl 0672.65087
Dryja, M.; Proskurowski, W.; Widlund, O.
11
1986
An alternative coarse space for irregular subdomains and an overlapping Schwarz algorithm for scalar elliptic problems in the plane. Zbl 1261.65129
Dohrmann, Clark R.; Widlund, Olof B.
11
2012
A finite element-capacitance matrix method for the Neumann problem for Laplace’s equation. Zbl 0458.65087
Proskurowski, Wlodzimierz; Widlund, Olof
9
1980
Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Zbl 0758.00010
9
1991
A domain decomposition algorithm using a hierarchical basis. Zbl 0712.65101
Smith, Barry F.; Widlund, Olof B.
9
1990
Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature. Zbl 0871.41020
Pavarino, L. F.; Widlund, O. B.
9
1997
A BDDC method for mortar discretizations using a transformation of basis. Zbl 1188.65163
Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B.
9
2009
On best error bounds for approximation by piecewise polynomial functions. Zbl 0331.41010
Widlund, Olof
9
1977
Iterative methods of decomposition into substructures. The general elliptic case. Zbl 0674.65077
Widlund, O. B.
9
1988
Dual-primal FETI methods with face constraints. Zbl 1009.65069
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
8
2002
Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166
Widlund, Olof B.
8
2009
On the rate of convergence of an alternating direction implicit method in a noncommutative case. Zbl 0173.44503
Widlund, O. B.
8
1966
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
8
2017
On the effects of scaling of the Peaceman-Rachford method. Zbl 0225.65044
Widlund, Olof B.
7
1971
Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386
Klawonn, Axel; Widlund, Olof B.
7
2005
Third international symposium on domain decomposition methods for partial differential equations. Proceedings of a symposium held at Houston, Texas (USA), March 20-22, 1989. Zbl 0695.00026
7
1990
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
7
2016
Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021
6
1989
Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
6
2005
Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059
Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
5
2018
Some recent applications of asymptotic error expansions to finite- difference schemes. Zbl 0221.65005
Widlund, O. B.
5
1971
Some results on best possible error bounds for finite element methods and approximation with piecewise polynomial functions. Zbl 0234.65091
Widlund, O. B.
5
1971
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
5
2014
Domain decomposition methods in science and engineering. VI. The sixth international conference on domain decomposition, Como, Italy, June 15–19, 1992. Zbl 0785.00036
5
1994
Optimal iterative refinement methods. Zbl 0682.65066
Widlund, Olof B.
5
1989
Overlapping Schwarz methods with a standard coarse space for almost incompressible linear elasticity. Zbl 1320.65189
Cai, Mingchao; Pavarino, Luca F.; Widlund, Olof B.
4
2015
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
4
2008
Iterative substructuring methods for spectral element discretizations of elliptic systems. I: Compressible linear elasticity. Zbl 0947.65119
Pavarino, Luca F.; Widlund, Olof B.
4
1999
Two-level Schwarz algorithms with overlapping subregions for mortar finite elements. Zbl 1124.65035
Kim, Hyea Hyun; Widlund, Olof B.
4
2006
Solving elliptic problems on regions partitioned into substructures. Zbl 0561.65078
Bjørstad, Petter E.; Widlund, Olof B.
4
1984
Some domain decomposition and iterative refinement algorithms for elliptic finite element problems. Zbl 0668.65084
Widlund, Olof
4
1989
Capacitance matrix methods for Helmholtz’s equation on general bounded regions. Zbl 0371.65021
Widlund, Olof
3
1978
Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044
Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.
3
2019
Iterative methods for elliptic problems on regions partitioned into substructures and the biharmonic Dirichlet problem. Zbl 0569.65081
Widlund, Olof B.
3
1984
On difference methods for parabolic equations and alternating direction implicit methods for elliptic equations. Zbl 0168.14604
Widlund, O. B.
3
1967
BDDC deluxe for isogeometric analysis. Zbl 1339.65228
Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano
3
2016
Some recent results on Schwarz type domain decomposition algorithms. Zbl 0812.65108
Dryja, Maksymilian; Widlund, Olof B.
3
1994
Iterative substructuring methods for spectral elements in three dimensions. Zbl 0837.65124
Pavarino, Luca F.; Widlund, Olof B.
3
1994
An extension theorem for finite element spaces with three applications. Zbl 0615.65114
Widlund, Olof B.
3
1987
On the rate of convergence for parabolic difference schemes. II. Zbl 0187.11601
Widlund, O. B.
3
1970
Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Zbl 1130.65004
2
2008
Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods. Zbl 1050.65048
Dryja, M.; Gantner, A.; Widlund, O. B.; Wohlmuth, B. I.
2
2004
A FETI-DP method for a mortar discretization of elliptic problems. Zbl 1007.65094
Dryja, Maksymilian; Widlund, Olof B.
2
2002
Variational analysis of some conjugate gradient methods. Zbl 0835.65055
Szyld, Daniel B.; Widlund, Olof B.
2
1993
Iterative substructuring methods for the mortar elements. (Méthode itérative de sous-structuration pour les éléments avec joints.) Zbl 0836.65118
Achdou, Yves; Maday, Yvon; Widlund, Olof
2
1996
Domain decomposition methods for elliptic partial differential equations. Zbl 0943.65146
Widlund, Olof B.
2
1999
New results on FETI methods for elliptic problems with discontinuous coefficients. Zbl 0952.65093
Klawonn, A.; Widlund, O. B.
2
2000
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. Zbl 07356040
Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F.
1
2021
BDDC domain decomposition algorithms. Zbl 1471.65185
Widlund, Olof B.
2
2020
Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044
Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.
3
2019
BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. Zbl 1380.65065
Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R.
27
2018
Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059
Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
5
2018
Improving the parallel performance of overlapping Schwarz methods by using a smaller energy minimizing coarse space. Zbl 1450.65165
Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
1
2018
Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
29
2017
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
8
2017
Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. Zbl 1369.65158
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
1
2017
An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295
Calvo, Juan G.; Widlund, Olof B.
27
2016
A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
21
2016
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
7
2016
BDDC deluxe for isogeometric analysis. Zbl 1339.65228
Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano
3
2016
Overlapping Schwarz methods with a standard coarse space for almost incompressible linear elasticity. Zbl 1320.65189
Cai, Mingchao; Pavarino, Luca F.; Widlund, Olof B.
4
2015
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
44
2014
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
5
2014
Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Zbl 1381.65002
2
2014
Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. Zbl 1267.65193
Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B.
24
2013
Domain decomposition methods in science and engineering XX. Selected papers based on the presentations of the 20th international conference on domain decomposition, San Diego, CA, USA, February 9–13, 2011. Zbl 1416.65007
1
2013
An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
11
2012
An alternative coarse space for irregular subdomains and an overlapping Schwarz algorithm for scalar elliptic problems in the plane. Zbl 1261.65129
Dohrmann, Clark R.; Widlund, Olof B.
11
2012
Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Zbl 1204.65002
1
2011
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
21
2010
BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058
Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano
19
2010
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
23
2009
A BDDC method for mortar discretizations using a transformation of basis. Zbl 1188.65163
Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B.
9
2009
Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166
Widlund, Olof B.
8
2009
Domain decomposition methods in science and engineering XVIII. Selected papers based on the presentations at the 18th international conference of domain decomposition methods, Jerusalem, Israel, January 12–17, 2008. Zbl 1178.65001
2
2009
The development of coarse spaces for domain decomposition algorithms. Zbl 1183.65167
Widlund, Olof B.
1
2009
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
46
2008
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
29
2008
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
16
2008
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
4
2008
Domain decomposition methods in science and engineering XVII. Selected papers based on the presentations at the 17th international conference on domain decomposition methods, St. Wolfgang/Strobl, Austria, July 3–7, 2006. Zbl 1130.65004
2
2008
On the use of inexact subdomain solvers for BDDC algorithms. Zbl 1173.65365
Li, Jing; Widlund, Olof B.
27
2007
Dual-primal FETI methods for linear elasticity. Zbl 1110.74053
Klawonn, Axel; Widlund, Olof B.
72
2006
FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142
Li, Jing; Widlund, Olof B.
64
2006
BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077
Li, Jing; Widlund, Olof
37
2006
Two-level Schwarz algorithms with overlapping subregions for mortar finite elements. Zbl 1124.65035
Kim, Hyea Hyun; Widlund, Olof B.
4
2006
Domain decomposition methods – algorithms and theory. Zbl 1069.65138
Toselli, Andrea; Widlund, Olof
633
2005
Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386
Klawonn, Axel; Widlund, Olof B.
7
2005
Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
6
2005
Domain decomposition methods in science and engineering. XV. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Zbl 1049.65003
1
2005
Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods. Zbl 1050.65048
Dryja, M.; Gantner, A.; Widlund, O. B.; Wohlmuth, B. I.
2
2004
Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Zbl 1169.65346
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
25
2003
Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. Zbl 1014.65121
Knyazev, Andrew; Widlund, Olof
13
2003
Domain decomposition methods in science and engineering. XIV. Papers from the 14th international conference on domain decomposition methods, Cocoyoc, México, January 6–12, 2002. Zbl 1103.65004
1
2003
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
91
2002
Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025
Pavarino, Luca F.; Widlund, Olof B.
40
2002
Dual-primal FETI methods with face constraints. Zbl 1009.65069
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
8
2002
A FETI-DP method for a mortar discretization of elliptic problems. Zbl 1007.65094
Dryja, Maksymilian; Widlund, Olof B.
2
2002
Balancing Neumann-Neumann methods for mixed approximations of linear elasticity. Zbl 1187.74236
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
1
2002
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120
Klawonn, Axel; Widlund, Olof B.
66
2001
An iterative substructuring method for Maxwell’s equations in two dimensions. Zbl 1017.78008
Toselli, Andrea; Widlund, Olof B.; Wohlmuth, Barbara I.
11
2001
A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145
Klawonn, Axel; Widlund, Olof B.
23
2000
An iterative substructuring method for Raviart-Thomas vector fields in three dimensions. Zbl 0956.65115
Wohlmuth, Barbara I.; Toselli, Andrea; Widlund, Olof B.
12
2000
New results on FETI methods for elliptic problems with discontinuous coefficients. Zbl 0952.65093
Klawonn, A.; Widlund, O. B.
2
2000
Iterative substructuring methods for spectral element discretizations of elliptic systems. II: Mixed methods for linear elasticity and Stokes flow. Zbl 0951.65123
Pavarino, Luca F.; Widlund, Olof B.
12
1999
Iterative substructuring methods for spectral element discretizations of elliptic systems. I: Compressible linear elasticity. Zbl 0947.65119
Pavarino, Luca F.; Widlund, Olof B.
4
1999
Domain decomposition methods for elliptic partial differential equations. Zbl 0943.65146
Widlund, Olof B.
2
1999
Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110
Achdou, Yves; Maday, Yvon; Widlund, Olof
35
1998
Overlapping Schwarz algorithms for solving Helmholtz’s equation. Zbl 0909.65104
Cai, Xiao-Chuan; Casarin, Mario A.; Elliott, Frank W. jun.; Widlund, Olof B.
16
1998
Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature. Zbl 0871.41020
Pavarino, L. F.; Widlund, O. B.
9
1997
Domain decomposition methods in sciences and engineering. Proceedings of the 8th international conference, Beijing, China, May 16–20, 1995. Zbl 1024.65001
1
1997
Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Zbl 0857.65131
Dryja, Maksymilian; Sarkis, Markus V.; Widlund, Olof B.
59
1996
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007
Pavarino, Luca F.; Widlund, Olof B.
32
1996
A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105
Casarin, Mario A.; Widlund, Olof B.
13
1996
Iterative substructuring methods for the mortar elements. (Méthode itérative de sous-structuration pour les éléments avec joints.) Zbl 0836.65118
Achdou, Yves; Maday, Yvon; Widlund, Olof
2
1996
Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Zbl 0824.65106
Dryja, Maksymilian; Widlund, Olof B.
39
1995
Domain decomposition algorithms with small overlap. Zbl 0802.65119
Dryja, Maksymilian; Widlund, Olof B.
80
1994
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114
Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B.
62
1994
Domain decomposition methods in science and engineering. VI. The sixth international conference on domain decomposition, Como, Italy, June 15–19, 1992. Zbl 0785.00036
5
1994
Some recent results on Schwarz type domain decomposition algorithms. Zbl 0812.65108
Dryja, Maksymilian; Widlund, Olof B.
3
1994
Iterative substructuring methods for spectral elements in three dimensions. Zbl 0837.65124
Pavarino, Luca F.; Widlund, Olof B.
3
1994
Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements. Zbl 0826.41010
Widlund, Olof B.
2
1994
Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016
Cai, Xiao-Chuan; Widlund, Olof B.
31
1993
Variational analysis of some conjugate gradient methods. Zbl 0835.65055
Szyld, Daniel B.; Widlund, Olof B.
2
1993
Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085
Cai, Xiao-Chuan; Widlund, Olof B.
68
1992
Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021
Dryja, Maksymilian; Widlund, Olof B.
25
1992
Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Zbl 0772.65025
Widlund, Olof B.
21
1992
Multilevel additive methods for elliptic finite element problems. Zbl 0783.65057
Dryja, Maksymilian; Widlund, Olof B.
19
1991
Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Zbl 0758.00010
9
1991
Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084
Dryja, Maksymilian; Widlund, Olof B.
39
1990
On finite element domain imbedding methods. Zbl 0705.65078
Börgers, Christoph; Widlund, Olof B.
18
1990
A domain decomposition algorithm using a hierarchical basis. Zbl 0712.65101
Smith, Barry F.; Widlund, Olof B.
9
1990
Third international symposium on domain decomposition methods for partial differential equations. Proceedings of a symposium held at Houston, Texas (USA), March 20-22, 1989. Zbl 0695.00026
7
1990
To overlap or not to overlap: A note on a domain decomposition method for elliptic problems. Zbl 0678.65069
Bjørstad, Petter E.; Widlund, Olof B.
13
1989
Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021
6
1989
Optimal iterative refinement methods. Zbl 0682.65066
Widlund, Olof B.
5
1989
Some domain decomposition and iterative refinement algorithms for elliptic finite element problems. Zbl 0668.65084
Widlund, Olof
4
1989
A domain decomposition Laplace solver for internal combustion engine modeling. Zbl 0668.65104
Börgers, Christoph; Widlund, Olof B.
1
1989
Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane. Zbl 0662.65097
Widlund, Olof B.
12
1988
Iterative methods of decomposition into substructures. The general elliptic case. Zbl 0674.65077
Widlund, O. B.
9
1988
An extension theorem for finite element spaces with three applications. Zbl 0615.65114
Widlund, Olof B.
3
1987
Iterative methods for the solution of elliptic problems on regions partitioned into substructures. Zbl 0615.65113
Bjørstad, Petter E.; Widlund, Olof B.
123
1986
Method of domain decomposition with cross points for elliptic finite element problems. Zbl 0672.65087
Dryja, M.; Proskurowski, W.; Widlund, O.
11
1986
Solving elliptic problems on regions partitioned into substructures. Zbl 0561.65078
Bjørstad, Petter E.; Widlund, Olof B.
4
1984
Iterative methods for elliptic problems on regions partitioned into substructures and the biharmonic Dirichlet problem. Zbl 0569.65081
Widlund, Olof B.
3
1984
Solution of the Helmholtz equation for the Dirichlet problem on general bounded three-dimensional regions. Zbl 0455.65073
O’Leary, Dianne P.; Widlund, Olof
1
1981
A finite element-capacitance matrix method for the Neumann problem for Laplace’s equation. Zbl 0458.65087
Proskurowski, Wlodzimierz; Widlund, Olof
9
1980
...and 21 more Documents
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Cited by 1,840 Authors

38 Klawonn, Axel
31 Pavarino, Luca Franco
30 Rheinbach, Oliver
29 Widlund, Olof B.
27 Cai, Xiao-Chuan
27 Gander, Martin Jakob
22 Chung, Tsz Shun Eric
21 Nataf, Frédéric
17 Brenner, Susanne Cecelia
17 Kim, Hyea Hyun
17 Mandel, Jan
17 Zampini, Stefano
16 Axelsson, Axel Owe Holger
16 Quarteroni, Alfio M.
16 Scacchi, Simone
16 Xu, Xuejun
15 Dryja, Maksymilian
15 Heinlein, Alexander
14 Dolean, Victorita
14 Lanser, Martin
14 Sarkis, Marcus V.
14 Xu, Jinchao
13 Badia, Santiago
13 Yang, Danping
12 Hu, Qiya
12 Marcinkowski, Leszek
12 Tu, Xuemin
11 Antonietti, Paola Francesca
11 Dohrmann, Clark R.
11 Farhat, Charbel H.
11 Langer, Ulrich
11 Lee, Chang-Ock
11 Magoulès, Frédéric
11 Rahman, Talal
11 Scheichl, Robert
11 Vassilevski, Panayot Spirov
11 Wang, Junxian
11 Yang, Haijian
10 Chen, Jinru
10 Dostál, Zdeněk
10 Gosselet, Pierre
10 Li, Jing
10 Sousedík, Bedřich
10 Szyld, Daniel B.
10 Yang, Chao
9 Beirão da Veiga, Lourenço
9 Galvis, Juan
9 Graham, Ivan G.
9 Lazarov, Raytcho D.
9 Maday, Yvon
9 Šístek, Jakub
8 Heuer, Norbert
8 Hofer, Christoph D.
8 Karátson, János
8 Loisel, Sébastien
8 Pechstein, Clemens
8 Spillane, Nicole
8 Zampieri, Elena
8 Zikatanov, Ludmil T.
7 Bertoluzza, Silvia
7 Cho, Durkbin
7 Deparis, Simone
7 Düring, Bertram
7 Efendiev, Yalchin R.
7 Ewing, Richard Edward
7 Hwang, Fengnan
7 Kozubek, Tomas
7 Kwok, Felix
7 Le Tallec, Patrick
7 Pasciak, Joseph E.
7 Shu, Shi
7 Wohlmuth, Barbara I.
7 Xie, Hehu
7 Zou, Jun
6 Chan, Tony Fan-Cheong
6 Demkowicz, Leszek F.
6 Evans, David John
6 Fischer, Paul F.
6 Griebel, Michael
6 Hauret, Patrice
6 Heuer, Christof
6 Jolivet, Pierre
6 Keyes, David Elliot
6 Martín, Alberto F.
6 Park, Eunhee
6 Pennacchio, Micol
6 Rey, Christian A.
6 Rixen, Daniel J.
6 Roux, François-Xavier
6 Seshaiyer, Padmanabhan
6 Takacs, Stefan
6 Toselli, Andrea
6 Tournier, Pierre-Henri
6 Yotov, Ivan
5 Ainsworth, Mark
5 Aksoylu, Burak
5 Babuška, Ivo
5 Badea, Lori
5 Barker, Andrew T.
5 Ben Belgacem, Faker
...and 1,740 more Authors
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Cited in 158 Serials

132 Computer Methods in Applied Mechanics and Engineering
102 Numerische Mathematik
90 Journal of Computational Physics
79 Journal of Computational and Applied Mathematics
77 Mathematics of Computation
67 Applied Numerical Mathematics
67 SIAM Journal on Scientific Computing
60 Computers & Mathematics with Applications
53 Journal of Scientific Computing
51 Applied Mathematics and Computation
38 Numerical Linear Algebra with Applications
33 International Journal for Numerical Methods in Engineering
30 Computing
28 Linear Algebra and its Applications
25 SIAM Journal on Numerical Analysis
23 Numerical Algorithms
22 BIT
20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
16 Numerical Methods for Partial Differential Equations
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 International Journal of Computer Mathematics
16 Advances in Computational Mathematics
15 ETNA. Electronic Transactions on Numerical Analysis
13 Mathematics and Computers in Simulation
11 Computers and Fluids
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Computational Mechanics
9 Calcolo
9 Numerical Functional Analysis and Optimization
9 RAIRO. Modélisation Mathématique et Analyse Numérique
9 Mathematical Problems in Engineering
9 Computing and Visualization in Science
9 Archives of Computational Methods in Engineering
9 Computational Methods in Applied Mathematics
9 BIT. Nordisk Tidskrift for Informationsbehandling
8 Applied Mathematics Letters
8 Multiscale Modeling & Simulation
7 Applied Mathematical Modelling
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 Journal of Numerical Mathematics
7 Communications in Computational Physics
6 Applicable Analysis
6 Computer Physics Communications
6 Computational and Applied Mathematics
5 Journal of Mathematical Analysis and Applications
5 Aplikace Matematiky
5 Applications of Mathematics
5 Engineering Analysis with Boundary Elements
5 Computational Geosciences
4 Communications on Pure and Applied Mathematics
4 SIAM Journal on Matrix Analysis and Applications
4 Communications in Numerical Methods in Engineering
4 Acta Numerica
4 GAMM-Mitteilungen
4 Communications on Applied Mathematics and Computation
3 International Journal for Numerical Methods in Fluids
3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Approximation Theory
3 Acta Mathematicae Applicatae Sinica. English Series
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Journal of Applied Mathematics and Computing
3 Discrete and Continuous Dynamical Systems. Series S
2 Journal of Engineering Mathematics
2 Journal of the Korean Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Transactions of the American Mathematical Society
2 Journal of Integral Equations and Applications
2 Science in China. Series A
2 Computational Mathematics and Mathematical Physics
2 SIAM Review
2 Journal of Mathematical Sciences (New York)
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Abstract and Applied Analysis
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 International Journal of Theoretical and Applied Finance
2 Communications in Nonlinear Science and Numerical Simulation
2 Structural and Multidisciplinary Optimization
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 International Journal of Computational Methods
2 Journal of Computational Acoustics
2 Boundary Value Problems
2 SIAM Journal on Imaging Sciences
2 Science China. Mathematics
2 SIAM/ASA Journal on Uncertainty Quantification
2 International Journal of Applied and Computational Mathematics
2 SMAI Journal of Computational Mathematics
1 International Journal of Engineering Science
1 Journal of the Franklin Institute
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Wave Motion
1 Applied Mathematics and Optimization
1 Journal of Functional Analysis
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Proceedings of the American Mathematical Society
1
1 Advances in Applied Mathematics
...and 58 more Serials
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Cited in 40 Fields

1,358 Numerical analysis (65-XX)
622 Partial differential equations (35-XX)
241 Fluid mechanics (76-XX)
200 Mechanics of deformable solids (74-XX)
52 Optics, electromagnetic theory (78-XX)
47 Calculus of variations and optimal control; optimization (49-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
33 Computer science (68-XX)
27 Ordinary differential equations (34-XX)
26 Biology and other natural sciences (92-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Probability theory and stochastic processes (60-XX)
18 Operations research, mathematical programming (90-XX)
17 Operator theory (47-XX)
17 Classical thermodynamics, heat transfer (80-XX)
16 Geophysics (86-XX)
14 Integral equations (45-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Potential theory (31-XX)
12 Approximations and expansions (41-XX)
11 Functional analysis (46-XX)
6 Mechanics of particles and systems (70-XX)
6 Systems theory; control (93-XX)
5 Statistics (62-XX)
4 Real functions (26-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Information and communication theory, circuits (94-XX)
3 General and overarching topics; collections (00-XX)
3 History and biography (01-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Functions of a complex variable (30-XX)
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1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
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1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)

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