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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 · IdRef · theses.fr
Documents Indexed: 125 Publications since 1961, including 1 Book
19 Contributions as Editor
Reviewing Activity: 56 Reviews
Biographic References: 1 Publication
Co-Authors: 78 Co-Authors with 111 Joint Publications
3,329 Co-Co-Authors
all top 5

Co-Authors

33 single-authored
21 Pavarino, Luca Franco
17 Klawonn, Axel
15 Dohrmann, Clark R.
14 Dryja, Maksymilian
9 Zampini, Stefano
8 Scacchi, Simone
6 Kim, Hyea Hyun
6 Périaux, Jacques F.
5 Bjørstad, Petter Erling
5 Cai, Xiao-Chuan
4 Beirão da Veiga, Lourenço
4 Glowinski, Roland
4 Keyes, David Elliot
4 Kornhuber, Ralf
4 Rheinbach, Oliver
3 Li, Jing
3 Proskurowski, Włodzimierz
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 Halpern, Laurence
2 Heinlein, Alexander
2 Kuznetsov, Yurii Alekseevich
2 Maday, Yvon
2 O’Leary, Dianne P.
2 Parter, Seymour V.
2 Pierson, Kendall H.
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, Lawrence
1 Haynes, Ronald D.
1 Herrera, Ismael
1 Holst, Michael J.
1 Hoppe, Ronald H. W.
1 Huang, Yunqing
1 Knepper, Jascha
1 Knyazev, Andrew V.
1 Kreiss, Heinz-Otto
1 Lai, Choi-Hong
1 Langer, Ulrich
1 Lee, Chang-Ock
1 MacLachlan, Scott P.
1 Meurant, Gérard A.
1 Oh, Duk-Soon
1 Park, Eun-Jae
1 Pichot, Géraldine
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

122 Publications have been cited 2,929 times in 1,639 Documents Cited by Year
Domain decomposition methods – algorithms and theory. Zbl 1069.65138
Toselli, Andrea; Widlund, Olof
697
2005
Iterative methods for the solution of elliptic problems on regions partitioned into substructures. Zbl 0615.65113
Bjørstad, Petter E.; Widlund, Olof B.
127
1986
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
94
2002
Dual-primal FETI methods for linear elasticity. Zbl 1110.74053
Klawonn, Axel; Widlund, Olof B.
82
2006
Domain decomposition algorithms with small overlap. Zbl 0802.65119
Dryja, Maksymilian; Widlund, Olof B.
81
1994
Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085
Cai, Xiao-Chuan; Widlund, Olof B.
74
1992
FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142
Li, Jing; Widlund, Olof B.
74
2006
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120
Klawonn, Axel; Widlund, Olof B.
67
2001
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114
Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B.
66
1994
Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Zbl 0857.65131
Dryja, Maksymilian; Sarkis, Markus V.; Widlund, Olof B.
61
1996
A Lanczos method for a class of nonsymmetric systems of linear equations. Zbl 0398.65030
Widlund, Olof
56
1978
A note on unconditionally stable linear multistep methods. Zbl 0178.18502
Widlund, O. B.
50
1967
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
49
2014
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
47
2008
Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025
Pavarino, Luca F.; Widlund, Olof B.
44
2002
On the numerical solution of Helmholtz’s equation by the capacitance matrix method. Zbl 0332.65057
Proskurowski, Wlodzimierz; Widlund, Olof
43
1976
BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077
Li, Jing; Widlund, Olof
42
2006
Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084
Dryja, Maksymilian; Widlund, Olof B.
41
1990
Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Zbl 0824.65106
Dryja, Maksymilian; Widlund, Olof B.
39
1995
Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110
Achdou, Yves; Maday, Yvon; Widlund, Olof
35
1998
Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016
Cai, Xiao-Chuan; Widlund, Olof B.
34
1993
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007
Pavarino, Luca F.; Widlund, Olof B.
34
1996
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.
33
2018
An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295
Calvo, Juan G.; Widlund, Olof B.
32
2016
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
31
2008
Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. Zbl 1267.65193
Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B.
31
2013
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.
31
2017
On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065
Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O.
30
1974
Smoothing of initial data and rates of convergence for parabolic difference equations. Zbl 0188.41001
Kreiss, H. O.; Thomee, V.; Widlund, O.
30
1970
Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021
Dryja, Maksymilian; Widlund, Olof B.
28
1992
On the use of inexact subdomain solvers for BDDC algorithms. Zbl 1173.65365
Li, Jing; Widlund, Olof B.
28
2007
A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
28
2016
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
27
2009
Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Zbl 1169.65346
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
26
2003
A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145
Klawonn, Axel; Widlund, Olof B.
23
2000
BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058
Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano
22
2010
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
22
2010
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.
20
1991
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
20
2008
Overlapping Schwarz algorithms for solving Helmholtz’s equation. Zbl 0909.65104
Cai, Xiao-Chuan; Casarin, Mario A.; Elliott, Frank W. jun.; Widlund, Olof B.
19
1998
High order fast Laplace solvers for the Dirichlet problem on general regions. Zbl 0348.65090
Pereyra, Victor; Proskurowski, Wlodzimierz; Widlund, Olof
19
1977
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
An iterative substructuring method for Raviart-Thomas vector fields in three dimensions. Zbl 0956.65115
Wohlmuth, Barbara I.; Toselli, Andrea; Widlund, Olof B.
15
2000
An iterative substructuring method for Maxwell’s equations in two dimensions. Zbl 1017.78008
Toselli, Andrea; Widlund, Olof B.; Wohlmuth, Barbara I.
13
2001
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.
13
2012
A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105
Casarin, Mario A.; Widlund, Olof B.
13
1996
Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. Zbl 1014.65121
Knyazev, Andrew; Widlund, Olof
13
2003
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.
13
1999
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 algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
12
2012
Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane. Zbl 0662.65097
Widlund, Olof B.
12
1988
Method of domain decomposition with cross points for elliptic finite element problems. Zbl 0672.65087
Dryja, M.; Proskurowski, W.; Widlund, O.
12
1986
Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021
10
1989
A finite element-capacitance matrix method for the Neumann problem for Laplace’s equation. Zbl 0458.65087
Proskurowski, Wlodzimierz; Widlund, Olof
10
1980
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
10
2017
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
10
1991
A BDDC method for mortar discretizations using a transformation of basis. Zbl 1188.65163
Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B.
10
2009
On best error bounds for approximation by piecewise polynomial functions. Zbl 0331.41010
Widlund, Olof
10
1977
Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature. Zbl 0871.41020
Pavarino, L. F.; Widlund, O. B.
10
1997
Iterative methods of decomposition into substructures. The general elliptic case. Zbl 0674.65077
Widlund, O. B.
10
1988
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
9
1990
A domain decomposition algorithm using a hierarchical basis. Zbl 0712.65101
Smith, Barry F.; Widlund, Olof B.
9
1990
Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166
Widlund, Olof B.
8
2009
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
8
2016
Dual-primal FETI methods with face constraints. Zbl 1009.65069
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
8
2002
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 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
Domain decomposition methods in science and engineering. VI. The sixth international conference on domain decomposition, Como, Italy, June 15–19, 1992. Zbl 0785.00036
7
1994
Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059
Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
7
2018
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
Solving elliptic problems on regions partitioned into substructures. Zbl 0561.65078
Bjørstad, Petter E.; Widlund, Olof B.
6
1984
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
BDDC domain decomposition algorithms. Zbl 1471.65185
Widlund, Olof B.
5
2020
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
5
2014
Overlapping Schwarz methods with a standard coarse space for almost incompressible linear elasticity. Zbl 1320.65189
Cai, Mingchao; Pavarino, Luca F.; Widlund, Olof B.
5
2015
Optimal iterative refinement methods. Zbl 0682.65066
Widlund, Olof B.
5
1989
Some recent applications of asymptotic error expansions to finite- difference schemes. Zbl 0221.65005
Widlund, O. B.
5
1971
Variational analysis of some conjugate gradient methods. Zbl 0835.65055
Szyld, Daniel B.; Widlund, Olof B.
4
1993
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.
4
2021
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
Some domain decomposition and iterative refinement algorithms for elliptic finite element problems. Zbl 0668.65084
Widlund, Olof
4
1989
Two-level Schwarz algorithms with overlapping subregions for mortar finite elements. Zbl 1124.65035
Kim, Hyea Hyun; Widlund, Olof B.
4
2006
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
4
2008
Capacitance matrix methods for Helmholtz’s equation on general bounded regions. Zbl 0371.65021
Widlund, Olof
3
1978
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
BDDC deluxe for isogeometric analysis. Zbl 1339.65228
Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano
3
2016
A FETI-DP method for a mortar discretization of elliptic problems. Zbl 1007.65094
Dryja, Maksymilian; Widlund, Olof B.
3
2002
Iterative methods for elliptic problems on regions partitioned into substructures and the biharmonic Dirichlet problem. Zbl 0569.65081
Widlund, Olof B.
3
1984
Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044
Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B.
3
2019
An extension theorem for finite element spaces with three applications. Zbl 0615.65114
Widlund, Olof B.
3
1987
On difference methods for parabolic equations and alternating direction implicit methods for elliptic equations. Zbl 0168.14604
Widlund, O. B.
3
1967
On the rate of convergence for parabolic difference schemes. II. Zbl 0187.11601
Widlund, O. B.
3
1970
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 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
On the expansion of generalized functions in series of Hermite functions. Zbl 0256.42013
Widlund, Olof
2
1961
Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Zbl 1492.65344
Heinlein, Alexander; Klawonn, Axel; Knepper, Jascha; Rheinbach, Oliver; Widlund, Olof B.
1
2022
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.
4
2021
BDDC domain decomposition algorithms. Zbl 1471.65185
Widlund, Olof B.
5
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.
33
2018
Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059
Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
7
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.
2
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.
31
2017
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
10
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.
32
2016
A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
28
2016
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
8
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.
5
2015
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
49
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.
31
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 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.
13
2012
An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
12
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
BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058
Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano
22
2010
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
22
2010
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
27
2009
A BDDC method for mortar discretizations using a transformation of basis. Zbl 1188.65163
Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B.
10
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.
47
2008
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
31
2008
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
20
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.
28
2007
Dual-primal FETI methods for linear elasticity. Zbl 1110.74053
Klawonn, Axel; Widlund, Olof B.
82
2006
FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142
Li, Jing; Widlund, Olof B.
74
2006
BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077
Li, Jing; Widlund, Olof
42
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
697
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.
26
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
94
2002
Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025
Pavarino, Luca F.; Widlund, Olof B.
44
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.
3
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.
67
2001
An iterative substructuring method for Maxwell’s equations in two dimensions. Zbl 1017.78008
Toselli, Andrea; Widlund, Olof B.; Wohlmuth, Barbara I.
13
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.
15
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.
13
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.
19
1998
Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature. Zbl 0871.41020
Pavarino, L. F.; Widlund, O. B.
10
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.
61
1996
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007
Pavarino, Luca F.; Widlund, Olof B.
34
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.
81
1994
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114
Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B.
66
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
7
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.
34
1993
Variational analysis of some conjugate gradient methods. Zbl 0835.65055
Szyld, Daniel B.; Widlund, Olof B.
4
1993
Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085
Cai, Xiao-Chuan; Widlund, Olof B.
74
1992
Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021
Dryja, Maksymilian; Widlund, Olof B.
28
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.
20
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
10
1991
Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084
Dryja, Maksymilian; Widlund, Olof B.
41
1990
On finite element domain imbedding methods. Zbl 0705.65078
Börgers, Christoph; Widlund, Olof B.
18
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
9
1990
A domain decomposition algorithm using a hierarchical basis. Zbl 0712.65101
Smith, Barry F.; Widlund, Olof B.
9
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
10
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.
10
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.
127
1986
Method of domain decomposition with cross points for elliptic finite element problems. Zbl 0672.65087
Dryja, M.; Proskurowski, W.; Widlund, O.
12
1986
Solving elliptic problems on regions partitioned into substructures. Zbl 0561.65078
Bjørstad, Petter E.; Widlund, Olof B.
6
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
...and 22 more Documents
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Cited by 1,978 Authors

40 Klawonn, Axel
34 Pavarino, Luca Franco
31 Rheinbach, Oliver
31 Widlund, Olof B.
29 Gander, Martin Jakob
25 Cai, Xiao-Chuan
25 Chung, Tsz Shun Eric
21 Nataf, Frédéric
21 Scacchi, Simone
19 Kim, Hyea Hyun
18 Brenner, Susanne Cecelia
18 Zampini, Stefano
17 Heinlein, Alexander
17 Mandel, Jan
16 Axelsson, Axel Owe Holger
16 Quarteroni, Alfio M.
16 Xu, Xuejun
16 Yang, Haijian
15 Dryja, Maksymilian
14 Dolean, Victorita
14 Lanser, Martin
14 Sarkis, Marcus V.
14 Xu, Jinchao
13 Badia, Santiago
13 Dostál, Zdeněk
13 Tu, Xuemin
13 Yang, Chao
13 Yang, Danping
12 Dohrmann, Clark R.
12 Hu, Qiya
12 Langer, Ulrich
12 Magoulès, Frédéric
12 Marcinkowski, Leszek
12 Scheichl, Robert
12 Wang, Junxian
11 Antonietti, Paola Francesca
11 Farhat, Charbel H.
11 Lee, Chang-Ock
11 Rahman, Talal
11 Szyld, Daniel B.
11 Vassilevski, Panayot Spirov
10 Chen, Jinru
10 Gosselet, Pierre
10 Li, Jing
10 Sousedík, Bedřich
9 Beirão da Veiga, Lourenço
9 Galvis, Juan
9 Graham, Ivan G.
9 Lazarov, Raytcho D.
9 Maday, Yvon
9 Park, Eun-Jae
9 Pechstein, Clemens
9 Šístek, Jakub
9 Zhao, Lina
9 Zikatanov, Ludmil T.
8 Bertoluzza, Silvia
8 Heuer, Norbert
8 Hofer, Christoph D.
8 Karátson, János
8 Loisel, Sébastien
8 Pasciak, Joseph E.
8 Shu, Shi
8 Spillane, Nicole
8 Yotov, Ivan
8 Zampieri, Elena
7 Ainsworth, Mark
7 Brzobohatý, Tomáš
7 Cho, Durkbin
7 Ciaramella, Gabriele
7 Deparis, Simone
7 Düring, Bertram
7 Efendiev, Yalchin R.
7 Ewing, Richard Edward
7 Hwang, Fengnan
7 Jolivet, Pierre
7 Kozubek, Tomas
7 Kwok, Felix
7 Le Tallec, Patrick
7 Oswald, Peter
7 Park, Jongho
7 Pennacchio, Micol
7 Takacs, Stefan
7 Wohlmuth, Barbara I.
7 Xie, Hehu
7 Zou, Jun
6 Ben Belgacem, Faker
6 Bramble, James H.
6 Chan, Tony Fan-Cheong
6 Demkowicz, Leszek F.
6 Evans, David John
6 Fischer, Paul F.
6 Führer, Thomas
6 Griebel, Michael
6 Hauret, Patrice
6 Heuer, Christof
6 Horák, David
6 Keyes, David Elliot
6 Martín, Alberto F.
6 Park, Eunhee
6 Rey, Christian A.
...and 1,878 more Authors
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Cited in 167 Serials

140 Computer Methods in Applied Mechanics and Engineering
106 Numerische Mathematik
98 Journal of Computational Physics
84 SIAM Journal on Scientific Computing
81 Journal of Computational and Applied Mathematics
80 Mathematics of Computation
73 Computers & Mathematics with Applications
70 Applied Numerical Mathematics
59 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
30 Numerical Algorithms
29 SIAM Journal on Numerical Analysis
28 Linear Algebra and its Applications
22 BIT
21 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
19 International Journal of Computer Mathematics
17 Advances in Computational Mathematics
16 Numerical Methods for Partial Differential Equations
16 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
16 ETNA. Electronic Transactions on Numerical Analysis
13 Mathematics and Computers in Simulation
13 Computational Methods in Applied Mathematics
12 Computers and Fluids
11 Computational Mechanics
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Multiscale Modeling & Simulation
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 BIT. Nordisk Tidskrift for Informationsbehandling
8 Applied Mathematics Letters
8 Journal of Numerical Mathematics
8 Communications in Computational Physics
7 Applicable Analysis
7 Applied Mathematical Modelling
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 Computational Geosciences
6 Computer Physics Communications
6 Computational and Applied Mathematics
5 Journal of Mathematical Analysis and Applications
5 Aplikace Matematiky
5 SIAM Journal on Matrix Analysis and Applications
5 Applications of Mathematics
5 Engineering Analysis with Boundary Elements
5 Communications on Applied Mathematics and Computation
4 Communications on Pure and Applied Mathematics
4 Computational Mathematics and Mathematical Physics
4 Communications in Numerical Methods in Engineering
4 Acta Numerica
4 GAMM-Mitteilungen
4 Discrete and Continuous Dynamical Systems. Series S
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 International Journal of Computational Methods
3 International Journal of Applied and Computational Mathematics
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 SIAM Review
2 Journal of Mathematical Sciences (New York)
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Vietnam Journal of Mathematics
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 Discrete and Continuous Dynamical Systems. Series B
2 Structural and Multidisciplinary Optimization
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 International Journal of Numerical Analysis and Modeling
2 Journal of Computational Acoustics
2 Boundary Value Problems
2 SIAM Journal on Imaging Sciences
2 Science China. Mathematics
2 Journal of the Korean Society for Industrial and Applied Mathematics
2 SIAM/ASA Journal on Uncertainty Quantification
2 SMAI Journal of Computational Mathematics
1 Archive for Rational Mechanics and Analysis
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
...and 67 more Serials
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Cited in 40 Fields

1,464 Numerical analysis (65-XX)
657 Partial differential equations (35-XX)
268 Fluid mechanics (76-XX)
220 Mechanics of deformable solids (74-XX)
56 Optics, electromagnetic theory (78-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
41 Linear and multilinear algebra; matrix theory (15-XX)
36 Computer science (68-XX)
30 Biology and other natural sciences (92-XX)
28 Ordinary differential equations (34-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Operations research, mathematical programming (90-XX)
19 Operator theory (47-XX)
19 Probability theory and stochastic processes (60-XX)
19 Geophysics (86-XX)
18 Classical thermodynamics, heat transfer (80-XX)
14 Integral equations (45-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Potential theory (31-XX)
13 Approximations and expansions (41-XX)
11 Functional analysis (46-XX)
8 Systems theory; control (93-XX)
6 Mechanics of particles and systems (70-XX)
6 Information and communication theory, circuits (94-XX)
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4 Real functions (26-XX)
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3 General and overarching topics; collections (00-XX)
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1 Astronomy and astrophysics (85-XX)

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