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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 · GND · IdRef · theses.fr
Documents Indexed: 125 Publications since 1961, including 1 Book
20 Contributions as Editor
Reviewing Activity: 56 Reviews
Biographic References: 1 Publication
Co-Authors: 82 Co-Authors with 112 Joint Publications
3,719 Co-Co-Authors
all top 5

Co-Authors

33 single-authored
22 Pavarino, Luca Franco
18 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, Yuriĭ Alekseevich
2 Langer, Ulrich
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 Dostál, Zdeněk
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 Kozubek, Tomas
1 Kreiss, Heinz-Otto
1 Lai, Choi-Hong
1 Lee, Chang-Ock
1 MacLachlan, Scott P.
1 Meurant, Gérard A.
1 Oh, Duk-Soon
1 Park, Eun-Jae
1 Pereyra, Victor
1 Pichot, Géraldine
1 Pironneau, Olivier
1 Quarteroni, Alfio M.
1 Rahman, Talal
1 Sarkis, Marcus V.
1 Sassi, Taoufik
1 Šístek, Jakub
1 Szyld, Daniel B.
1 Thomée, Vidar
1 Yates, Robert A.
1 Zulehner, Walter

Publications by Year

Citations contained in zbMATH Open

129 Publications have been cited 3,676 times in 2,008 Documents Cited by Year
Domain decomposition methods – algorithms and theory. Zbl 1069.65138
Toselli, Andrea; Widlund, Olof
953
2005
Iterative methods for the solution of elliptic problems on regions partitioned into substructures. Zbl 0615.65113
Bjørstad, Petter E.; Widlund, Olof B.
138
1986
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
114
2002
FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142
Li, Jing; Widlund, Olof B.
109
2006
Dual-primal FETI methods for linear elasticity. Zbl 1110.74053
Klawonn, Axel; Widlund, Olof B.
98
2006
Domain decomposition algorithms with small overlap. Zbl 0802.65119
Dryja, Maksymilian; Widlund, Olof B.
90
1994
Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085
Cai, Xiao-Chuan; Widlund, Olof B.
83
1992
FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120
Klawonn, Axel; Widlund, Olof B.
82
2001
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114
Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B.
72
1994
A Lanczos method for a class of nonsymmetric systems of linear equations. Zbl 0398.65030
Widlund, Olof
71
1978
Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Zbl 0857.65131
Dryja, Maksymilian; Sarkis, Markus V.; Widlund, Olof B.
68
1996
Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084
Dryja, Maksymilian; Widlund, Olof B.
64
1990
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
64
2014
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
57
2008
Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025
Pavarino, Luca F.; Widlund, Olof B.
54
2002
A note on unconditionally stable linear multistep methods. Zbl 0178.18502
Widlund, O. B.
53
1967
On the numerical solution of Helmholtz’s equation by the capacitance matrix method. Zbl 0332.65057
Proskurowski, Wlodzimierz; Widlund, Olof
52
1976
BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077
Li, Jing; Widlund, Olof
52
2006
Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Zbl 0824.65106
Dryja, Maksymilian; Widlund, Olof B.
44
1995
An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295
Calvo, Juan G.; Widlund, Olof B.
43
2016
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.
43
2018
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
42
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.
42
2017
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007
Pavarino, Luca F.; Widlund, Olof B.
40
1996
On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065
Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O.
38
1974
Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016
Cai, Xiao-Chuan; Widlund, Olof B.
38
1993
A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
37
2016
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
35
2009
Smoothing of initial data and rates of convergence for parabolic difference equations. Zbl 0188.41001
Kreiss, H. O.; Thomee, V.; Widlund, O.
34
1970
Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. Zbl 1267.65193
Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B.
34
2013
On the use of inexact subdomain solvers for BDDC algorithms. Zbl 1173.65365
Li, Jing; Widlund, Olof B.
34
2007
Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110
Achdou, Yves; Maday, Yvon; Widlund, Olof
33
1998
Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Zbl 1169.65346
Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B.
31
2003
Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021
Dryja, Maksymilian; Widlund, Olof B.
30
1992
Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053
Dohrmann, Clark R.; Widlund, Olof B.
30
2010
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
28
2008
Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Zbl 0772.65025
Widlund, Olof B.
25
1992
BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058
Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano
24
2010
Multilevel additive methods for elliptic finite element problems. Zbl 0783.65057
Dryja, Maksymilian; Widlund, Olof B.
23
1991
A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145
Klawonn, Axel; Widlund, Olof B.
23
2000
High order fast Laplace solvers for the Dirichlet problem on general regions. Zbl 0348.65090
Pereyra, Victor; Proskurowski, Wlodzimierz; Widlund, Olof
22
1977
Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane. Zbl 0662.65097
Widlund, Olof B.
22
1988
Capacitance matrix methods for the Helmholtz equation on general three- dimensional regions. Zbl 0407.65047
O’Leary, Dianne P.; Widlund, Olof
21
1979
Overlapping Schwarz algorithms for solving Helmholtz’s equation. Zbl 0909.65104
Cai, Xiao-Chuan; Casarin, Mario A.; Elliott, Frank W. jun.; Widlund, Olof B.
20
1998
On finite element domain imbedding methods. Zbl 0705.65078
Börgers, Christoph; Widlund, Olof B.
19
1990
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.
17
1999
Stability of parabolic difference schemes in the maximum norm. Zbl 0173.44805
Widlund, O. B.
17
1966
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
17
2017
An iterative substructuring method for Raviart-Thomas vector fields in three dimensions. Zbl 0956.65115
Wohlmuth, Barbara I.; Toselli, Andrea; Widlund, Olof B.
16
2000
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
15
1990
A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105
Casarin, Mario A.; Widlund, Olof B.
15
1996
Solving elliptic problems on regions partitioned into substructures. Zbl 0561.65078
Bjørstad, Petter E.; Widlund, Olof B.
15
1984
Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. Zbl 1014.65121
Knyazev, Andrew; Widlund, Olof
15
2003
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.
15
2012
Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021
14
1989
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
14
1991
Optimal iterative refinement methods. Zbl 0682.65066
Widlund, Olof B.
14
1989
Method of domain decomposition with cross points for elliptic finite element problems. Zbl 0672.65087
Dryja, M.; Proskurowski, W.; Widlund, O.
13
1986
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 extension theorem for finite element spaces with three applications. Zbl 0615.65114
Widlund, Olof B.
13
1987
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 iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
12
2012
On best error bounds for approximation by piecewise polynomial functions. Zbl 0331.41010
Widlund, Olof
11
1977
A domain decomposition algorithm using a hierarchical basis. Zbl 0712.65101
Smith, Barry F.; Widlund, Olof B.
11
1990
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.
11
2018
Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166
Widlund, Olof B.
11
2009
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
A finite element-capacitance matrix method for the Neumann problem for Laplace’s equation. Zbl 0458.65087
Proskurowski, Wlodzimierz; Widlund, Olof
10
1980
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
10
2016
On the rate of convergence of an alternating direction implicit method in a noncommutative case. Zbl 0173.44503
Widlund, O. B.
10
1966
A BDDC method for mortar discretizations using a transformation of basis. Zbl 1188.65163
Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B.
10
2009
Dual-primal FETI methods with face constraints. Zbl 1009.65069
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
9
2002
Domain decomposition methods in science and engineering. VI. The sixth international conference on domain decomposition, Como, Italy, June 15–19, 1992. Zbl 0785.00036
9
1994
Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386
Klawonn, Axel; Widlund, Olof B.
8
2005
Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
7
2005
On the effects of scaling of the Peaceman-Rachford method. Zbl 0225.65044
Widlund, Olof B.
7
1971
Overlapping Schwarz methods with a standard coarse space for almost incompressible linear elasticity. Zbl 1320.65189
Cai, Mingchao; Pavarino, Luca F.; Widlund, Olof B.
7
2015
Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059
Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
7
2018
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
7
2014
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.
6
2022
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. Zbl 1507.65071
Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F.
6
2021
BDDC domain decomposition algorithms. Zbl 1471.65185
Widlund, Olof B.
6
2020
Variational analysis of some conjugate gradient methods. Zbl 0835.65055
Szyld, Daniel B.; Widlund, Olof B.
5
1993
Iterative substructuring methods for spectral element discretizations of elliptic systems. I: Compressible linear elasticity. Zbl 0947.65119
Pavarino, Luca F.; Widlund, Olof B.
5
1999
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
Two-level Schwarz algorithms with overlapping subregions for mortar finite elements. Zbl 1124.65035
Kim, Hyea Hyun; Widlund, Olof B.
5
2006
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
5
2008
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
5
2013
Capacitance matrix methods for Helmholtz’s equation on general bounded regions. Zbl 0371.65021
Widlund, Olof
4
1978
Iterative methods for elliptic problems on regions partitioned into substructures and the biharmonic Dirichlet problem. Zbl 0569.65081
Widlund, Olof B.
4
1984
Domain decomposition methods in science and engineering XVI. 16th international conference, New York, NY, January 11–15, 2005. Zbl 1104.74004
4
2007
A FETI-DP method for a mortar discretization of elliptic problems. Zbl 1007.65094
Dryja, Maksymilian; Widlund, Olof B.
4
2002
BDDC deluxe for isogeometric analysis. Zbl 1339.65228
Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano
4
2016
On difference methods for parabolic equations and alternating direction implicit methods for elliptic equations. Zbl 0168.14604
Widlund, O. B.
4
1967
Some recent results on Schwarz type domain decomposition algorithms. Zbl 0812.65108
Dryja, Maksymilian; Widlund, Olof B.
3
1994
Some domain decomposition and iterative refinement algorithms for elliptic finite element problems. Zbl 0668.65084
Widlund, Olof
3
1989
Iterative substructuring methods for spectral elements in three dimensions. Zbl 0837.65124
Pavarino, Luca F.; Widlund, Olof B.
3
1994
On the rate of convergence for parabolic difference schemes. II. Zbl 0187.11601
Widlund, O. B.
3
1970
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.
6
2022
BDDC deluxe algorithms for two-dimensional \(H(\operatorname{curl})\) isogeometric analysis. Zbl 1503.65302
Widlund, Olof B.; Scacchi, Simone; Pavarino, Luca F.
1
2022
Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. Zbl 1507.65071
Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F.
6
2021
BDDC domain decomposition algorithms. Zbl 1471.65185
Widlund, Olof B.
6
2020
Domain decomposition methods in science and engineering XXV. Selected papers based on the presentations at the 25th international conference on domain decomposition methods, Memorial University of Newfoundland, in St. John’s, Newfoundland and Labrador, Canada, July 23–27, 2018. Zbl 1485.65003
1
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.
43
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.
11
2018
Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059
Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
7
2018
Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Zbl 1430.65002
2
2018
Small coarse spaces for overlapping Schwarz algorithms with irregular subdomains. Zbl 1450.65177
Widlund, Olof B.; Dohrmann, Clark R.
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.
42
2017
On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161
Dohrmann, Clark R.; Widlund, Olof B.
17
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.
2
2017
An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295
Calvo, Juan G.; Widlund, Olof B.
43
2016
A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136
Dohrmann, Clark R.; Widlund, Olof B.
37
2016
BDDC deluxe domain decomposition. Zbl 1339.65242
Widlund, Olof B.; Dohrmann, Clark R.
10
2016
BDDC deluxe for isogeometric analysis. Zbl 1339.65228
Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano
4
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.
7
2015
Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047
Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S.
64
2014
Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437
Dohrmann, Clark R.; Widlund, Olof B.
7
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
1
2014
Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. Zbl 1267.65193
Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B.
34
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
5
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.
15
2012
An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014
Dohrmann, Clark R.; Widlund, Olof B.
12
2012
BDDC and FETI-DP preconditioners for spectral element discretizations of almost incompressible elasticity. Zbl 1430.74020
Pavarino, Luca F.; Widlund, Olof B.
1
2011
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.
30
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
24
2010
An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064
Dohrmann, Clark R.; Widlund, Olof B.
35
2009
Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166
Widlund, Olof B.
11
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
The development of coarse spaces for domain decomposition algorithms. Zbl 1183.65167
Widlund, Olof B.
3
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
An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
57
2008
Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
42
2008
A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
28
2008
Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365
Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B.
5
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
1
2008
On the use of inexact subdomain solvers for BDDC algorithms. Zbl 1173.65365
Li, Jing; Widlund, Olof B.
34
2007
Domain decomposition methods in science and engineering XVI. 16th international conference, New York, NY, January 11–15, 2005. Zbl 1104.74004
4
2007
FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142
Li, Jing; Widlund, Olof B.
109
2006
Dual-primal FETI methods for linear elasticity. Zbl 1110.74053
Klawonn, Axel; Widlund, Olof B.
98
2006
BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077
Li, Jing; Widlund, Olof
52
2006
Two-level Schwarz algorithms with overlapping subregions for mortar finite elements. Zbl 1124.65035
Kim, Hyea Hyun; Widlund, Olof B.
5
2006
Domain decomposition methods – algorithms and theory. Zbl 1069.65138
Toselli, Andrea; Widlund, Olof
953
2005
Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386
Klawonn, Axel; Widlund, Olof B.
8
2005
Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128
Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B.
7
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.
31
2003
Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. Zbl 1014.65121
Knyazev, Andrew; Widlund, Olof
15
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
2
2003
Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
114
2002
Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025
Pavarino, Luca F.; Widlund, Olof B.
54
2002
Dual-primal FETI methods with face constraints. Zbl 1009.65069
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian
9
2002
A FETI-DP method for a mortar discretization of elliptic problems. Zbl 1007.65094
Dryja, Maksymilian; Widlund, Olof B.
4
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.
82
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.
16
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.
17
1999
Iterative substructuring methods for spectral element discretizations of elliptic systems. I: Compressible linear elasticity. Zbl 0947.65119
Pavarino, Luca F.; Widlund, Olof B.
5
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
33
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.
20
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.
68
1996
A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007
Pavarino, Luca F.; Widlund, Olof B.
40
1996
A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105
Casarin, Mario A.; Widlund, Olof B.
15
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
Domain decomposition methods for spectral and mortar finite element approximations of elliptic problems. Zbl 0900.65342
Widlund, Olof B.
2
1996
Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Zbl 0824.65106
Dryja, Maksymilian; Widlund, Olof B.
44
1995
Domain decomposition algorithms with small overlap. Zbl 0802.65119
Dryja, Maksymilian; Widlund, Olof B.
90
1994
Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114
Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B.
72
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
9
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.
38
1993
Variational analysis of some conjugate gradient methods. Zbl 0835.65055
Szyld, Daniel B.; Widlund, Olof B.
5
1993
Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085
Cai, Xiao-Chuan; Widlund, Olof B.
83
1992
Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021
Dryja, Maksymilian; Widlund, Olof B.
30
1992
Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Zbl 0772.65025
Widlund, Olof B.
25
1992
Multilevel additive methods for elliptic finite element problems. Zbl 0783.65057
Dryja, Maksymilian; Widlund, Olof B.
23
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
14
1991
Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084
Dryja, Maksymilian; Widlund, Olof B.
64
1990
On finite element domain imbedding methods. Zbl 0705.65078
Börgers, Christoph; Widlund, Olof B.
19
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
15
1990
A domain decomposition algorithm using a hierarchical basis. Zbl 0712.65101
Smith, Barry F.; Widlund, Olof B.
11
1990
Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021
14
1989
Optimal iterative refinement methods. Zbl 0682.65066
Widlund, Olof B.
14
1989
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
Some domain decomposition and iterative refinement algorithms for elliptic finite element problems. Zbl 0668.65084
Widlund, Olof
3
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.
22
1988
...and 29 more Documents
all top 5

Cited by 2,367 Authors

47 Klawonn, Axel
39 Pavarino, Luca Franco
37 Rheinbach, Oliver
35 Gander, Martin Jakob
32 Widlund, Olof B.
30 Cai, Xiao-Chuan
28 Chung, Tsz Shun Eric
28 Yang, Haijian
26 Scacchi, Simone
24 Kim, Hyea Hyun
24 Yang, Chao
23 Nataf, Frédéric
22 Heinlein, Alexander
21 Brenner, Susanne Cecelia
20 Xu, Xuejun
19 Axelsson, Axel Owe Holger
19 Dostál, Zdeněk
19 Dryja, Maksymilian
19 Quarteroni, Alfio M.
19 Zampini, Stefano
18 Lanser, Martin
18 Magoulès, Frédéric
18 Mandel, Jan
18 Sarkis, Marcus V.
17 Dolean, Victorita
17 Gosselet, Pierre
17 Langer, Ulrich
17 Xu, Jinchao
16 Badia, Santiago
16 Galvis, Juan
16 Marcinkowski, Leszek
16 Szyld, Daniel B.
16 Tu, Xuemin
15 Lee, Chang-Ock
15 Rahman, Talal
15 Yang, Danping
14 Pechstein, Clemens
14 Scheichl, Robert
13 Farhat, Charbel H.
13 Hu, Qiya
13 Sousedík, Bedřich
13 Vassilevski, Panayot Spirov
13 Wang, Junxian
12 Ainsworth, Mark
12 Dohrmann, Clark R.
12 Sung, Li-Yeng
12 Takacs, Stefan
12 Zhao, Lina
11 Antonietti, Paola Francesca
11 Chen, Jinru
11 Li, Jing
11 Maday, Yvon
11 Park, Jongho
11 Zikatanov, Ludmil T.
10 Beirão da Veiga, Lourenço
10 Brzobohatý, Tomáš
10 Efendiev, Yalchin R.
10 Horák, David
10 Lazarov, Raytcho D.
10 Park, Eunhee
10 Šístek, Jakub
10 Spillane, Nicole
10 Yotov, Ivan
9 Graham, Ivan G.
9 Jolivet, Pierre
9 Karátson, János
9 Kozubek, Tomas
9 Loisel, Sébastien
9 Mandal, Bankim C.
9 Park, Eun-Jae
9 Pasciak, Joseph E.
9 Rey, Christian A.
9 Shu, Shi
9 Sun, Shuyu
9 Wohlmuth, Barbara I.
8 Bertoluzza, Silvia
8 Cho, Durkbin
8 Deparis, Simone
8 Düring, Bertram
8 Führer, Thomas
8 Heuer, Norbert
8 Hofer, Christoph D.
8 Kwok, Felix
8 Li, Shishun
8 Martín, Alberto F.
8 Stephan, Ernst Peter
8 Xie, Hehu
8 Xu, Fei
8 Zampieri, Elena
7 Bochev, Pavel B.
7 Bramble, James H.
7 Ciaramella, Gabriele
7 Demkowicz, Leszek F.
7 Ewing, Richard Edward
7 Gervasio, Paola
7 Griebel, Michael
7 Heuer, Christof
7 Huang, Jizu
7 Hwang, Fengnan
7 Keyes, David Elliot
...and 2,267 more Authors
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Cited in 178 Serials

174 Computer Methods in Applied Mechanics and Engineering
139 Journal of Computational Physics
111 SIAM Journal on Scientific Computing
106 Numerische Mathematik
99 Journal of Computational and Applied Mathematics
87 Computers & Mathematics with Applications
84 Mathematics of Computation
76 Applied Numerical Mathematics
65 Journal of Scientific Computing
55 International Journal for Numerical Methods in Engineering
54 Applied Mathematics and Computation
53 Numerical Linear Algebra with Applications
39 SIAM Journal on Numerical Analysis
32 Numerical Algorithms
30 Computing
29 Linear Algebra and its Applications
27 ETNA. Electronic Transactions on Numerical Analysis
25 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
23 BIT
22 Numerical Methods for Partial Differential Equations
20 International Journal of Computer Mathematics
18 Advances in Computational Mathematics
17 Mathematics and Computers in Simulation
16 Computational Methods in Applied Mathematics
15 Computer Physics Communications
15 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
14 Computers and Fluids
14 Computational Mechanics
13 Computing and Visualization in Science
12 Multiscale Modeling & Simulation
11 Calcolo
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Applicable Analysis
10 Computational Geosciences
10 Communications in Computational Physics
9 Numerical Functional Analysis and Optimization
9 RAIRO. Modélisation Mathématique et Analyse Numérique
9 Applied Mathematics Letters
9 Applied Mathematical Modelling
9 Mathematical Problems in Engineering
9 Archives of Computational Methods in Engineering
9 Journal of Numerical Mathematics
9 BIT. Nordisk Tidskrift for Informationsbehandling
8 Computational and Applied Mathematics
7 Applications of Mathematics
7 Engineering Analysis with Boundary Elements
7 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
7 GAMM-Mitteilungen
6 Journal of Mathematical Analysis and Applications
6 SIAM Journal on Matrix Analysis and Applications
6 Acta Numerica
5 International Journal for Numerical Methods in Fluids
5 Mathematical Methods in the Applied Sciences
5 Aplikace Matematiky
5 Computational Mathematics and Mathematical Physics
5 Vietnam Journal of Mathematics
5 Communications on Applied Mathematics and Computation
4 Communications on Pure and Applied Mathematics
4 Communications in Numerical Methods in Engineering
4 Discrete and Continuous Dynamical Systems. Series S
3 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Journal of Approximation Theory
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Acta Mathematicae Applicatae Sinica. English Series
3 International Journal of Numerical Methods for Heat & Fluid Flow
3 Russian Journal of Numerical Analysis and Mathematical Modelling
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Applied Mathematics and Computing
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 International Journal of Computational Methods
3 International Journal of Numerical Analysis and Modeling
3 Journal of the Korean Society for Industrial and Applied Mathematics
3 International Journal of Applied and Computational Mathematics
2 Journal of Engineering Mathematics
2 Wave Motion
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Journal of the Korean Mathematical Society
2 Transactions of the American Mathematical Society
2 Computer Aided Geometric Design
2 Journal of Complexity
2 Journal of Integral Equations and Applications
2 Science in China. Series A
2 Japan Journal of Industrial and Applied Mathematics
2 SIAM Journal on Mathematical Analysis
2 SIAM Review
2 Russian Mathematics
2 Journal of Mathematical Sciences (New York)
2 Abstract and Applied Analysis
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Wuhan University Journal of Natural Sciences (WUJNS)
2 International Journal of Theoretical and Applied Finance
2 Differential Equations
2 Discrete and Continuous Dynamical Systems. Series B
2 Structural and Multidisciplinary Optimization
2 Journal of Computational Acoustics
2 Boundary Value Problems
2 SIAM Journal on Imaging Sciences
2 Science China. Mathematics
2 Journal of Mathematics in Industry
...and 78 more Serials
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Cited in 40 Fields

1,794 Numerical analysis (65-XX)
770 Partial differential equations (35-XX)
334 Fluid mechanics (76-XX)
282 Mechanics of deformable solids (74-XX)
68 Optics, electromagnetic theory (78-XX)
65 Calculus of variations and optimal control; optimization (49-XX)
49 Linear and multilinear algebra; matrix theory (15-XX)
49 Computer science (68-XX)
39 Biology and other natural sciences (92-XX)
33 Ordinary differential equations (34-XX)
29 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Operations research, mathematical programming (90-XX)
23 Probability theory and stochastic processes (60-XX)
22 Operator theory (47-XX)
22 Geophysics (86-XX)
21 Approximations and expansions (41-XX)
20 Classical thermodynamics, heat transfer (80-XX)
19 Statistical mechanics, structure of matter (82-XX)
17 Integral equations (45-XX)
15 Potential theory (31-XX)
12 Functional analysis (46-XX)
9 Information and communication theory, circuits (94-XX)
7 Systems theory; control (93-XX)
6 Real functions (26-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Statistics (62-XX)
6 Mechanics of particles and systems (70-XX)
4 History and biography (01-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Functions of a complex variable (30-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)

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