Edit Profile (opens in new tab) Widlund, Olof B. Co-Author Distance Author ID: widlund.olof-b Published as: Widlund, Olof B.; Widlund, Olof; Widlund, O. B.; Widlund, O. more...less External Links: MGP · Wikidata · GND · 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 3,633 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 all top 5 Serials 20 SIAM Journal on Numerical Analysis 10 Communications on Pure and Applied Mathematics 10 Mathematics of Computation 10 SIAM Journal on Scientific Computing 10 Lecture Notes in Computational Science and Engineering 5 SIAM Journal on Scientific and Statistical Computing 4 Numerische Mathematik 2 International Journal for Numerical Methods in Engineering 2 ETNA. Electronic Transactions on Numerical Analysis 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 ACM Transactions on Mathematical Software 1 Aplikace Matematiky 1 Journal of Computational Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 IBM Journal of Research and Development 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Vychislitel’nye Protsessy i Sistemy 1 East-West Journal of Numerical Mathematics 1 Journal of Numerical Mathematics 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Contemporary Mathematics 1 Springer Series in Computational Mathematics all top 5 Fields 129 Numerical analysis (65-XX) 69 Partial differential equations (35-XX) 19 Mechanics of deformable solids (74-XX) 18 General and overarching topics; collections (00-XX) 7 Fluid mechanics (76-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 3,379 times in 1,865 Documents Cited by ▼ Year ▼ Domain decomposition methods – algorithms and theory. Zbl 1069.65138 Toselli, Andrea; Widlund, Olof 864 2005 Iterative methods for the solution of elliptic problems on regions partitioned into substructures. Zbl 0615.65113 Bjørstad, Petter E.; Widlund, Olof B. 136 1986 Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031 Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian 108 2002 Dual-primal FETI methods for linear elasticity. Zbl 1110.74053 Klawonn, Axel; Widlund, Olof B. 91 2006 FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142 Li, Jing; Widlund, Olof B. 86 2006 Domain decomposition algorithms with small overlap. Zbl 0802.65119 Dryja, Maksymilian; Widlund, Olof B. 86 1994 Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085 Cai, Xiao-Chuan; Widlund, Olof B. 81 1992 FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120 Klawonn, Axel; Widlund, Olof B. 75 2001 Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114 Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B. 70 1994 Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Zbl 0857.65131 Dryja, Maksymilian; Sarkis, Markus V.; Widlund, Olof B. 66 1996 Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047 Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 61 2014 A Lanczos method for a class of nonsymmetric systems of linear equations. Zbl 0398.65030 Widlund, Olof 60 1978 An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135 Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B. 56 2008 Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025 Pavarino, Luca F.; Widlund, Olof B. 55 2002 A note on unconditionally stable linear multistep methods. Zbl 0178.18502 Widlund, O. B. 52 1967 BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077 Li, Jing; Widlund, Olof 52 2006 Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084 Dryja, Maksymilian; Widlund, Olof B. 48 1990 On the numerical solution of Helmholtz’s equation by the capacitance matrix method. Zbl 0332.65057 Proskurowski, Wlodzimierz; Widlund, Olof 45 1976 Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Zbl 0824.65106 Dryja, Maksymilian; Widlund, Olof B. 44 1995 A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007 Pavarino, Luca F.; Widlund, Olof B. 39 1996 Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160 Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 38 2008 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. 37 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. 37 2017 Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016 Cai, Xiao-Chuan; Widlund, Olof B. 36 1993 A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136 Dohrmann, Clark R.; Widlund, Olof B. 36 2016 Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110 Achdou, Yves; Maday, Yvon; Widlund, Olof 35 1998 Smoothing of initial data and rates of convergence for parabolic difference equations. Zbl 0188.41001 Kreiss, H. O.; Thomee, V.; Widlund, O. 34 1970 An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295 Calvo, Juan G.; Widlund, Olof B. 34 2016 On the use of inexact subdomain solvers for BDDC algorithms. Zbl 1173.65365 Li, Jing; Widlund, Olof B. 33 2007 An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064 Dohrmann, Clark R.; Widlund, Olof B. 33 2009 Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. Zbl 1267.65193 Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B. 33 2013 Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Zbl 1169.65346 Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B. 32 2003 On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065 Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O. 31 1974 Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021 Dryja, Maksymilian; Widlund, Olof B. 29 1992 Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053 Dohrmann, Clark R.; Widlund, Olof B. 27 2010 A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289 Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 25 2008 BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058 Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano 25 2010 Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Zbl 0772.65025 Widlund, Olof B. 23 1992 A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145 Klawonn, Axel; Widlund, Olof B. 23 2000 Multilevel additive methods for elliptic finite element problems. Zbl 0783.65057 Dryja, Maksymilian; Widlund, Olof B. 22 1991 High order fast Laplace solvers for the Dirichlet problem on general regions. Zbl 0348.65090 Pereyra, Victor; Proskurowski, Wlodzimierz; Widlund, Olof 20 1977 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 On finite element domain imbedding methods. Zbl 0705.65078 Börgers, Christoph; Widlund, Olof B. 19 1990 Capacitance matrix methods for the Helmholtz equation on general three- dimensional regions. Zbl 0407.65047 O’Leary, Dianne P.; Widlund, Olof 18 1979 Stability of parabolic difference schemes in the maximum norm. Zbl 0173.44805 Widlund, O. B. 17 1966 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. 15 1999 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 Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. Zbl 1014.65121 Knyazev, Andrew; Widlund, Olof 15 2003 Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane. Zbl 0662.65097 Widlund, Olof B. 14 1988 Solving elliptic problems on regions partitioned into substructures. Zbl 0561.65078 Bjørstad, Petter E.; Widlund, Olof B. 14 1984 A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105 Casarin, Mario A.; Widlund, Olof B. 14 1996 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. 14 2012 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 iterative substructuring method for Maxwell’s equations in two dimensions. Zbl 1017.78008 Toselli, Andrea; Widlund, Olof B.; Wohlmuth, Barbara I. 13 2001 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 13 1990 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 13 1991 On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161 Dohrmann, Clark R.; Widlund, Olof B. 13 2017 Domain decomposition methods. Proceedings of the 2nd international symposium, held at the University of California, Los Angeles, January 14- 16, 1988. Zbl 0675.00021 12 1989 An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014 Dohrmann, Clark R.; Widlund, Olof B. 12 2012 A BDDC method for mortar discretizations using a transformation of basis. Zbl 1188.65163 Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B. 11 2009 Iterative methods of decomposition into substructures. The general elliptic case. Zbl 0674.65077 Widlund, O. B. 10 1988 On best error bounds for approximation by piecewise polynomial functions. Zbl 0331.41010 Widlund, Olof 10 1977 A domain decomposition algorithm using a hierarchical basis. Zbl 0712.65101 Smith, Barry F.; Widlund, Olof B. 10 1990 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 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 Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166 Widlund, Olof B. 9 2009 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. 9 2018 On the rate of convergence of an alternating direction implicit method in a noncommutative case. Zbl 0173.44503 Widlund, O. B. 8 1966 Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386 Klawonn, Axel; Widlund, Olof B. 8 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 8 1994 Dual-primal FETI methods with face constraints. Zbl 1009.65069 Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian 8 2002 Optimal iterative refinement methods. Zbl 0682.65066 Widlund, Olof B. 7 1989 On the effects of scaling of the Peaceman-Rachford method. Zbl 0225.65044 Widlund, Olof B. 7 1971 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 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 BDDC domain decomposition algorithms. Zbl 1471.65185 Widlund, Olof B. 6 2020 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 Variational analysis of some conjugate gradient methods. Zbl 0835.65055 Szyld, Daniel B.; Widlund, Olof B. 5 1993 Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437 Dohrmann, Clark R.; Widlund, Olof B. 5 2014 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 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. 5 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 Domain decomposition methods in science and engineering XVI. 16th international conference, New York, NY, January 11–15, 2005. Zbl 1104.74004 4 2007 BDDC deluxe for isogeometric analysis. Zbl 1339.65228 Beirão da Veiga, Lourenço; Pavarino, Luca F.; Scacchi, Simone; Widlund, O. B.; Zampini, Stefano 4 2016 A FETI-DP method for a mortar discretization of elliptic problems. Zbl 1007.65094 Dryja, Maksymilian; Widlund, Olof B. 4 2002 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. 4 2022 Some domain decomposition and iterative refinement algorithms for elliptic finite element problems. Zbl 0668.65084 Widlund, Olof 3 1989 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 methods for elliptic problems on regions partitioned into substructures and the biharmonic Dirichlet problem. Zbl 0569.65081 Widlund, Olof B. 3 1984 An extension theorem for finite element spaces with three applications. Zbl 0615.65114 Widlund, Olof B. 3 1987 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 Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044 Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B. 3 2019 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. 4 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. 5 2021 BDDC domain decomposition algorithms. Zbl 1471.65185 Widlund, Olof B. 6 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. 37 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. 9 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. 37 2017 On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161 Dohrmann, Clark R.; Widlund, Olof B. 13 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 A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136 Dohrmann, Clark R.; Widlund, Olof B. 36 2016 An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295 Calvo, Juan G.; Widlund, Olof B. 34 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. 61 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. 33 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 3 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. 14 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 Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053 Dohrmann, Clark R.; Widlund, Olof B. 27 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 25 2010 An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064 Dohrmann, Clark R.; Widlund, Olof B. 33 2009 A BDDC method for mortar discretizations using a transformation of basis. Zbl 1188.65163 Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B. 11 2009 Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166 Widlund, Olof B. 9 2009 The development of coarse spaces for domain decomposition algorithms. Zbl 1183.65167 Widlund, Olof B. 2 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. 56 2008 Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160 Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 38 2008 A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289 Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 25 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 2 2008 On the use of inexact subdomain solvers for BDDC algorithms. Zbl 1173.65365 Li, Jing; Widlund, Olof B. 33 2007 Domain decomposition methods in science and engineering XVI. 16th international conference, New York, NY, January 11–15, 2005. Zbl 1104.74004 4 2007 Dual-primal FETI methods for linear elasticity. Zbl 1110.74053 Klawonn, Axel; Widlund, Olof B. 91 2006 FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142 Li, Jing; Widlund, Olof B. 86 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 864 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. 32 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 108 2002 Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025 Pavarino, Luca F.; Widlund, Olof B. 55 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. 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. 75 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. 15 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. 66 1996 A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007 Pavarino, Luca F.; Widlund, Olof B. 39 1996 A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105 Casarin, Mario A.; Widlund, Olof B. 14 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. 1 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. 86 1994 Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114 Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B. 70 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 8 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. 36 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. 81 1992 Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021 Dryja, Maksymilian; Widlund, Olof B. 29 1992 Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Zbl 0772.65025 Widlund, Olof B. 23 1992 Multilevel additive methods for elliptic finite element problems. Zbl 0783.65057 Dryja, Maksymilian; Widlund, Olof B. 22 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 13 1991 Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084 Dryja, Maksymilian; Widlund, Olof B. 48 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 13 1990 A domain decomposition algorithm using a hierarchical basis. Zbl 0712.65101 Smith, Barry F.; Widlund, Olof B. 10 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 12 1989 Optimal iterative refinement methods. Zbl 0682.65066 Widlund, Olof B. 7 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. 14 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. 136 1986 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,224 Authors 45 Klawonn, Axel 39 Pavarino, Luca Franco 36 Rheinbach, Oliver 34 Gander, Martin Jakob 32 Widlund, Olof B. 29 Cai, Xiao-Chuan 27 Chung, Tsz Shun Eric 26 Scacchi, Simone 26 Yang, Haijian 23 Yang, Chao 22 Nataf, Frédéric 21 Heinlein, Alexander 21 Kim, Hyea Hyun 19 Brenner, Susanne Cecelia 19 Dryja, Maksymilian 19 Xu, Xuejun 19 Zampini, Stefano 18 Lanser, Martin 18 Mandel, Jan 18 Quarteroni, Alfio M. 18 Sarkis, Marcus V. 17 Axelsson, Axel Owe Holger 17 Dostál, Zdeněk 17 Magoulès, Frédéric 16 Dolean, Victorita 16 Tu, Xuemin 16 Xu, Jinchao 15 Badia, Santiago 15 Langer, Ulrich 15 Marcinkowski, Leszek 14 Lee, Chang-Ock 14 Pechstein, Clemens 14 Rahman, Talal 14 Scheichl, Robert 14 Yang, Danping 13 Galvis, Juan 13 Hu, Qiya 13 Sousedík, Bedřich 13 Szyld, Daniel B. 13 Vassilevski, Panayot Spirov 12 Dohrmann, Clark R. 12 Farhat, Charbel H. 12 Gosselet, Pierre 12 Wang, Junxian 11 Antonietti, Paola Francesca 11 Chen, Jinru 11 Li, Jing 11 Sung, Li-Yeng 11 Takacs, Stefan 11 Zhao, Lina 10 Beirão da Veiga, Lourenço 10 Lazarov, Raytcho D. 10 Maday, Yvon 10 Šístek, Jakub 10 Yotov, Ivan 9 Brzobohatý, Tomáš 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 Sun, Shuyu 8 Bertoluzza, Silvia 8 Cho, Durkbin 8 Deparis, Simone 8 Düring, Bertram 8 Efendiev, Yalchin R. 8 Führer, Thomas 8 Heuer, Norbert 8 Hofer, Christoph D. 8 Kwok, Felix 8 Martín, Alberto F. 8 Park, Eunhee 8 Park, Jongho 8 Shu, Shi 8 Spillane, Nicole 8 Stephan, Ernst Peter 8 Wohlmuth, Barbara I. 8 Xie, Hehu 8 Zampieri, Elena 8 Zikatanov, Ludmil T. 7 Ainsworth, Mark 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 Hwang, Fengnan 7 Keyes, David Elliot 7 Le Tallec, Patrick 7 Li, Shishun 7 Oswald, Peter 7 Pennacchio, Micol 7 Spence, Euan A. ...and 2,124 more Authors all top 5 Cited in 173 Serials 162 Computer Methods in Applied Mechanics and Engineering 115 Journal of Computational Physics 106 Numerische Mathematik 104 SIAM Journal on Scientific Computing 88 Journal of Computational and Applied Mathematics 82 Computers & Mathematics with Applications 82 Mathematics of Computation 74 Applied Numerical Mathematics 64 Journal of Scientific Computing 52 Applied Mathematics and Computation 39 International Journal for Numerical Methods in Engineering 38 Numerical Linear Algebra with Applications 36 SIAM Journal on Numerical Analysis 31 Numerical Algorithms 30 Computing 28 Linear Algebra and its Applications 24 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 23 BIT 20 Numerical Methods for Partial Differential Equations 20 International Journal of Computer Mathematics 20 ETNA. 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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 ...and 73 more Serials all top 5 Cited in 40 Fields 1,671 Numerical analysis (65-XX) 735 Partial differential equations (35-XX) 302 Fluid mechanics (76-XX) 253 Mechanics of deformable solids (74-XX) 63 Optics, electromagnetic theory (78-XX) 60 Calculus of variations and optimal control; optimization (49-XX) 43 Computer science (68-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 36 Biology and other natural sciences (92-XX) 30 Ordinary differential equations (34-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 25 Operations research, mathematical programming (90-XX) 22 Probability theory and stochastic processes (60-XX) 20 Operator theory (47-XX) 20 Classical thermodynamics, heat transfer (80-XX) 20 Geophysics (86-XX) 18 Approximations and expansions (41-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Integral equations (45-XX) 15 Potential theory (31-XX) 10 Functional analysis (46-XX) 8 Systems theory; control (93-XX) 8 Information and communication theory, circuits (94-XX) 6 Real functions (26-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Mechanics of particles and systems (70-XX) 5 Statistics (62-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 History and biography (01-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Quantum theory (81-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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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