Edit Profile (opens in new tab) Widlund, Olof B. Compute Distance To: Compute Author ID: widlund.olof-b Published as: Widlund, Olof B.; Widlund, Olof; Widlund, O. B.; Widlund, O. more...less 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 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) 68 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 122 Publications have been cited 2,929 times in 1,639 Documents Cited by ▼ Year ▼ Domain decomposition methods – algorithms and theory. Zbl 1069.65138Toselli, Andrea; Widlund, Olof 697 2005 Iterative methods for the solution of elliptic problems on regions partitioned into substructures. Zbl 0615.65113Bjørstad, Petter E.; Widlund, Olof B. 127 1986 Dual-primal FETI methods for three-dimensional elliptic problems with heterogeneous coefficients. Zbl 1032.65031Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian 94 2002 Dual-primal FETI methods for linear elasticity. Zbl 1110.74053Klawonn, Axel; Widlund, Olof B. 82 2006 Domain decomposition algorithms with small overlap. Zbl 0802.65119Dryja, Maksymilian; Widlund, Olof B. 81 1994 Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085Cai, Xiao-Chuan; Widlund, Olof B. 74 1992 FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142Li, Jing; Widlund, Olof B. 74 2006 FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120Klawonn, Axel; Widlund, Olof B. 67 2001 Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114Dryja, Maksymilian; Smith, Barry F.; Widlund, Olof B. 66 1994 Multilevel Schwarz methods for elliptic problems with discontinuous coefficients in three dimensions. Zbl 0857.65131Dryja, Maksymilian; Sarkis, Markus V.; Widlund, Olof B. 61 1996 A Lanczos method for a class of nonsymmetric systems of linear equations. Zbl 0398.65030Widlund, Olof 56 1978 A note on unconditionally stable linear multistep methods. Zbl 0178.18502Widlund, O. B. 50 1967 Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047Beirão 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 1176.65135Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B. 47 2008 Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025Pavarino, Luca F.; Widlund, Olof B. 44 2002 On the numerical solution of Helmholtz’s equation by the capacitance matrix method. Zbl 0332.65057Proskurowski, Wlodzimierz; Widlund, Olof 43 1976 BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077Li, Jing; Widlund, Olof 42 2006 Towards a unified theory of domain decomposition algorithms for elliptic problems. Zbl 0719.65084Dryja, Maksymilian; Widlund, Olof B. 41 1990 Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Zbl 0824.65106Dryja, Maksymilian; Widlund, Olof B. 39 1995 Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110Achdou, Yves; Maday, Yvon; Widlund, Olof 35 1998 Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016Cai, Xiao-Chuan; Widlund, Olof B. 34 1993 A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007Pavarino, Luca F.; Widlund, Olof B. 34 1996 BDDC algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields. Zbl 1380.65065Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R. 33 2018 An adaptive choice of primal constraints for BDDC domain decomposition algorithms. Zbl 1357.65295Calvo, Juan G.; Widlund, Olof B. 32 2016 Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 31 2008 Two-level overlapping Schwarz algorithms for a staggered discontinuous Galerkin method. Zbl 1267.65193Chung, Eric T.; Kim, Hyea Hyun; Widlund, Olof B. 31 2013 Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 31 2017 On Fourier-Toeplitz methods for separable elliptic problems. Zbl 0277.65065Fischer, D.; Golub, G.; Hald, O.; Leiva, C.; Widlund, O. 30 1974 Smoothing of initial data and rates of convergence for parabolic difference equations. Zbl 0188.41001Kreiss, H. O.; Thomee, V.; Widlund, O. 30 1970 Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021Dryja, Maksymilian; Widlund, Olof B. 28 1992 On the use of inexact subdomain solvers for BDDC algorithms. Zbl 1173.65365Li, Jing; Widlund, Olof B. 28 2007 A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136Dohrmann, Clark R.; Widlund, Olof B. 28 2016 An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064Dohrmann, Clark R.; Widlund, Olof B. 27 2009 Balancing Neumann-Neumann preconditioners for mixed approximations of heterogeneous problems in linear elasticity. Zbl 1169.65346Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B. 26 2003 A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145Klawonn, Axel; Widlund, Olof B. 23 2000 BDDC preconditioners for spectral element discretizations of almost incompressible elasticity in three dimensions. Zbl 1278.74058Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano 22 2010 Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053Dohrmann, Clark R.; Widlund, Olof B. 22 2010 Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Zbl 0772.65025Widlund, Olof B. 21 1992 Multilevel additive methods for elliptic finite element problems. Zbl 0783.65057Dryja, Maksymilian; Widlund, Olof B. 20 1991 A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 20 2008 Overlapping Schwarz algorithms for solving Helmholtz’s equation. Zbl 0909.65104Cai, 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 0348.65090Pereyra, Victor; Proskurowski, Wlodzimierz; Widlund, Olof 19 1977 Capacitance matrix methods for the Helmholtz equation on general three- dimensional regions. Zbl 0407.65047O’Leary, Dianne P.; Widlund, Olof 18 1979 On finite element domain imbedding methods. Zbl 0705.65078Börgers, Christoph; Widlund, Olof B. 18 1990 Stability of parabolic difference schemes in the maximum norm. Zbl 0173.44805Widlund, O. B. 17 1966 An iterative substructuring method for Raviart-Thomas vector fields in three dimensions. Zbl 0956.65115Wohlmuth, Barbara I.; Toselli, Andrea; Widlund, Olof B. 15 2000 An iterative substructuring method for Maxwell’s equations in two dimensions. Zbl 1017.78008Toselli, 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 1261.65129Dohrmann, Clark R.; Widlund, Olof B. 13 2012 A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105Casarin, Mario A.; Widlund, Olof B. 13 1996 Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. Zbl 1014.65121Knyazev, 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 0951.65123Pavarino, Luca F.; Widlund, Olof B. 13 1999 To overlap or not to overlap: A note on a domain decomposition method for elliptic problems. Zbl 0678.65069Bjørstad, Petter E.; Widlund, Olof B. 13 1989 An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014Dohrmann, Clark R.; Widlund, Olof B. 12 2012 Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane. Zbl 0662.65097Widlund, Olof B. 12 1988 Method of domain decomposition with cross points for elliptic finite element problems. Zbl 0672.65087Dryja, 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 0458.65087Proskurowski, Wlodzimierz; Widlund, Olof 10 1980 On the design of small coarse spaces for domain decomposition algorithms. Zbl 1369.65161Dohrmann, 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 1188.65163Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B. 10 2009 On best error bounds for approximation by piecewise polynomial functions. Zbl 0331.41010Widlund, Olof 10 1977 Iterative substructuring methods for spectral elements: Problems in three dimensions based on numerical quadrature. Zbl 0871.41020Pavarino, L. F.; Widlund, O. B. 10 1997 Iterative methods of decomposition into substructures. The general elliptic case. Zbl 0674.65077Widlund, 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 0712.65101Smith, Barry F.; Widlund, Olof B. 9 1990 Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166Widlund, Olof B. 8 2009 BDDC deluxe domain decomposition. Zbl 1339.65242Widlund, Olof B.; Dohrmann, Clark R. 8 2016 Dual-primal FETI methods with face constraints. Zbl 1009.65069Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian 8 2002 On the rate of convergence of an alternating direction implicit method in a noncommutative case. Zbl 0173.44503Widlund, O. B. 8 1966 On the effects of scaling of the Peaceman-Rachford method. Zbl 0225.65044Widlund, Olof B. 7 1971 Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386Klawonn, 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 1391.65059Pavarino, 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 1067.65128Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B. 6 2005 Solving elliptic problems on regions partitioned into substructures. Zbl 0561.65078Bjørstad, 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 0234.65091Widlund, O. B. 5 1971 BDDC domain decomposition algorithms. Zbl 1471.65185Widlund, Olof B. 5 2020 Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437Dohrmann, Clark R.; Widlund, Olof B. 5 2014 Overlapping Schwarz methods with a standard coarse space for almost incompressible linear elasticity. Zbl 1320.65189Cai, Mingchao; Pavarino, Luca F.; Widlund, Olof B. 5 2015 Optimal iterative refinement methods. Zbl 0682.65066Widlund, Olof B. 5 1989 Some recent applications of asymptotic error expansions to finite- difference schemes. Zbl 0221.65005Widlund, O. B. 5 1971 Variational analysis of some conjugate gradient methods. Zbl 0835.65055Szyld, Daniel B.; Widlund, Olof B. 4 1993 Block FETI-DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity. Zbl 07356040Widlund, 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 0947.65119Pavarino, Luca F.; Widlund, Olof B. 4 1999 Some domain decomposition and iterative refinement algorithms for elliptic finite element problems. Zbl 0668.65084Widlund, Olof 4 1989 Two-level Schwarz algorithms with overlapping subregions for mortar finite elements. Zbl 1124.65035Kim, Hyea Hyun; Widlund, Olof B. 4 2006 Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 4 2008 Capacitance matrix methods for Helmholtz’s equation on general bounded regions. Zbl 0371.65021Widlund, Olof 3 1978 Some recent results on Schwarz type domain decomposition algorithms. Zbl 0812.65108Dryja, Maksymilian; Widlund, Olof B. 3 1994 Iterative substructuring methods for spectral elements in three dimensions. Zbl 0837.65124Pavarino, Luca F.; Widlund, Olof B. 3 1994 BDDC deluxe for isogeometric analysis. Zbl 1339.65228Beirão 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 1007.65094Dryja, Maksymilian; Widlund, Olof B. 3 2002 Iterative methods for elliptic problems on regions partitioned into substructures and the biharmonic Dirichlet problem. Zbl 0569.65081Widlund, Olof B. 3 1984 Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044Dohrmann, Clark R.; Pierson, Kendall H.; Widlund, Olof B. 3 2019 An extension theorem for finite element spaces with three applications. Zbl 0615.65114Widlund, Olof B. 3 1987 On difference methods for parabolic equations and alternating direction implicit methods for elliptic equations. Zbl 0168.14604Widlund, O. B. 3 1967 On the rate of convergence for parabolic difference schemes. II. Zbl 0187.11601Widlund, O. B. 3 1970 Iterative substructuring methods for the mortar elements. (Méthode itérative de sous-structuration pour les éléments avec joints.) Zbl 0836.65118Achdou, 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 0256.42013Widlund, Olof 2 1961 Adaptive GDSW coarse spaces of reduced dimension for overlapping Schwarz methods. Zbl 1492.65344Heinlein, 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 07356040Widlund, O. B.; Zampini, S.; Scacchi, S.; Pavarino, L. F. 4 2021 BDDC domain decomposition algorithms. Zbl 1471.65185Widlund, Olof B. 5 2020 Vertex-based preconditioners for the coarse problems of BDDC. Zbl 1425.65044Dohrmann, 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 1380.65065Oh, Duk-Soon; Widlund, Olof B.; Zampini, Stefano; Dohrmann, Clark R. 33 2018 Isogeometric BDDC deluxe preconditioners for linear elasticity. Zbl 1391.65059Pavarino, 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 1450.65165Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B. 2 2018 Adaptive selection of primal constraints for isogeometric BDDC deluxe preconditioners. Zbl 1360.65090Beirão 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 1369.65161Dohrmann, Clark R.; Widlund, Olof B. 10 2017 Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. Zbl 1369.65158Beirão 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 1357.65295Calvo, Juan G.; Widlund, Olof B. 32 2016 A BDDC algorithm with deluxe scaling for three-dimensional \(H(\mathbf{curl})\) problems. Zbl 1343.65136Dohrmann, Clark R.; Widlund, Olof B. 28 2016 BDDC deluxe domain decomposition. Zbl 1339.65242Widlund, Olof B.; Dohrmann, Clark R. 8 2016 BDDC deluxe for isogeometric analysis. Zbl 1339.65228Beirão 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 1320.65189Cai, Mingchao; Pavarino, Luca F.; Widlund, Olof B. 5 2015 Isogeometric BDDC preconditioners with deluxe scaling. Zbl 1320.65047Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S.; Widlund, O. B.; Zampini, S. 49 2014 Lower dimensional coarse spaces for domain decomposition. Zbl 1382.65437Dohrmann, 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 1267.65193Chung, 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 1261.65129Dohrmann, Clark R.; Widlund, Olof B. 13 2012 An iterative substructuring algorithm for two-dimensional problems in H(curl). Zbl 1260.78014Dohrmann, 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 1278.74058Pavarino, Luca F.; Widlund, Olof B.; Zampini, Stefano 22 2010 Hybrid domain decomposition algorithms for compressible and almost incompressible elasticity. Zbl 1188.74053Dohrmann, Clark R.; Widlund, Olof B. 22 2010 An overlapping Schwarz algorithm for almost incompressible elasticity. Zbl 1410.74064Dohrmann, Clark R.; Widlund, Olof B. 27 2009 A BDDC method for mortar discretizations using a transformation of basis. Zbl 1188.65163Kim, Hyea Hyun; Dryja, Maksymilian; Widlund, Olof B. 10 2009 Accomodating irregular subdomains in domain decomposition theory. Zbl 1183.65166Widlund, 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 1183.65167Widlund, Olof B. 1 2009 An analysis of a FETI – DP algorithm on irregular subdomains in the plane. Zbl 1176.65135Klawonn, Axel; Rheinbach, Oliver; Widlund, Olof B. 47 2008 Domain decomposition for less regular subdomains: Overlapping Schwarz in two dimensions. Zbl 1183.65160Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 31 2008 A family of energy minimizing coarse spaces for overlapping Schwarz preconditioners. Zbl 1359.65289Dohrmann, Clark R.; Klawonn, Axel; Widlund, Olof B. 20 2008 Extending theory for domain decomposition algorithms to irregular subdomains. Zbl 1140.65365Dohrmann, 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 1173.65365Li, Jing; Widlund, Olof B. 28 2007 Dual-primal FETI methods for linear elasticity. Zbl 1110.74053Klawonn, Axel; Widlund, Olof B. 82 2006 FETI-DP, BDDC, and block Cholesky methods. Zbl 1114.65142Li, Jing; Widlund, Olof B. 74 2006 BDDC algorithms for incompressible Stokes equations. Zbl 1233.76077Li, Jing; Widlund, Olof 42 2006 Two-level Schwarz algorithms with overlapping subregions for mortar finite elements. Zbl 1124.65035Kim, Hyea Hyun; Widlund, Olof B. 4 2006 Domain decomposition methods – algorithms and theory. Zbl 1069.65138Toselli, Andrea; Widlund, Olof 697 2005 Selecting constraints in dual-primal FETI methods for elasticity in three dimensions. Zbl 1152.74386Klawonn, Axel; Widlund, Olof B. 7 2005 Some computational results for dual-primal FETI methods for elliptic problems in 3D. Zbl 1067.65128Klawonn, 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 1050.65048Dryja, 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 1169.65346Goldfeld, 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 1014.65121Knyazev, 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 1032.65031Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian 94 2002 Balancing Neumann-Neumann methods for incompressible Stokes equations. Zbl 1024.76025Pavarino, Luca F.; Widlund, Olof B. 44 2002 Dual-primal FETI methods with face constraints. Zbl 1009.65069Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian 8 2002 A FETI-DP method for a mortar discretization of elliptic problems. Zbl 1007.65094Dryja, Maksymilian; Widlund, Olof B. 3 2002 Balancing Neumann-Neumann methods for mixed approximations of linear elasticity. Zbl 1187.74236Goldfeld, Paulo; Pavarino, Luca F.; Widlund, Olof B. 1 2002 FETI and Neumann-Neumann iterative substructuring methods: Connections and new results. Zbl 1023.65120Klawonn, Axel; Widlund, Olof B. 67 2001 An iterative substructuring method for Maxwell’s equations in two dimensions. Zbl 1017.78008Toselli, Andrea; Widlund, Olof B.; Wohlmuth, Barbara I. 13 2001 A domain decomposition method with Lagrange multipliers and inexact solvers for linear elasticity. Zbl 0980.65145Klawonn, Axel; Widlund, Olof B. 23 2000 An iterative substructuring method for Raviart-Thomas vector fields in three dimensions. Zbl 0956.65115Wohlmuth, Barbara I.; Toselli, Andrea; Widlund, Olof B. 15 2000 New results on FETI methods for elliptic problems with discontinuous coefficients. Zbl 0952.65093Klawonn, 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 0951.65123Pavarino, Luca F.; Widlund, Olof B. 13 1999 Iterative substructuring methods for spectral element discretizations of elliptic systems. I: Compressible linear elasticity. Zbl 0947.65119Pavarino, Luca F.; Widlund, Olof B. 4 1999 Domain decomposition methods for elliptic partial differential equations. Zbl 0943.65146Widlund, Olof B. 2 1999 Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110Achdou, Yves; Maday, Yvon; Widlund, Olof 35 1998 Overlapping Schwarz algorithms for solving Helmholtz’s equation. Zbl 0909.65104Cai, 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 0871.41020Pavarino, 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 0857.65131Dryja, Maksymilian; Sarkis, Markus V.; Widlund, Olof B. 61 1996 A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions. Zbl 0856.41007Pavarino, Luca F.; Widlund, Olof B. 34 1996 A hierarchical preconditioner for the mortar finite element method. Zbl 0870.65105Casarin, 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 0836.65118Achdou, Yves; Maday, Yvon; Widlund, Olof 2 1996 Schwarz methods of Neumann-Neumann type for three-dimensional elliptic finite element problems. Zbl 0824.65106Dryja, Maksymilian; Widlund, Olof B. 39 1995 Domain decomposition algorithms with small overlap. Zbl 0802.65119Dryja, Maksymilian; Widlund, Olof B. 81 1994 Schwarz analysis of iterative substructuring algorithms for elliptic problems in three dimensions. Zbl 0818.65114Dryja, 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 0812.65108Dryja, Maksymilian; Widlund, Olof B. 3 1994 Iterative substructuring methods for spectral elements in three dimensions. Zbl 0837.65124Pavarino, Luca F.; Widlund, Olof B. 3 1994 Exotic coarse spaces for Schwarz methods for lower order and spectral finite elements. Zbl 0826.41010Widlund, Olof B. 2 1994 Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems. Zbl 0787.65016Cai, Xiao-Chuan; Widlund, Olof B. 34 1993 Variational analysis of some conjugate gradient methods. Zbl 0835.65055Szyld, Daniel B.; Widlund, Olof B. 4 1993 Domain decomposition algorithms for indefinite elliptic problems. Zbl 0746.65085Cai, Xiao-Chuan; Widlund, Olof B. 74 1992 Additive Schwarz methods for elliptic finite element problems in three dimensions. Zbl 0772.65021Dryja, Maksymilian; Widlund, Olof B. 28 1992 Some Schwarz methods for symmetric and nonsymmetric elliptic problems. Zbl 0772.65025Widlund, Olof B. 21 1992 Multilevel additive methods for elliptic finite element problems. Zbl 0783.65057Dryja, 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 0719.65084Dryja, Maksymilian; Widlund, Olof B. 41 1990 On finite element domain imbedding methods. Zbl 0705.65078Börgers, 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 0712.65101Smith, Barry F.; Widlund, Olof B. 9 1990 To overlap or not to overlap: A note on a domain decomposition method for elliptic problems. Zbl 0678.65069Bjørstad, 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 0682.65066Widlund, Olof B. 5 1989 Some domain decomposition and iterative refinement algorithms for elliptic finite element problems. Zbl 0668.65084Widlund, Olof 4 1989 A domain decomposition Laplace solver for internal combustion engine modeling. Zbl 0668.65104Börgers, Christoph; Widlund, Olof B. 1 1989 Iterative substructuring methods: Algorithms and theory for elliptic problems in the plane. Zbl 0662.65097Widlund, Olof B. 12 1988 Iterative methods of decomposition into substructures. The general elliptic case. Zbl 0674.65077Widlund, O. B. 10 1988 An extension theorem for finite element spaces with three applications. Zbl 0615.65114Widlund, Olof B. 3 1987 Iterative methods for the solution of elliptic problems on regions partitioned into substructures. Zbl 0615.65113Bjørstad, Petter E.; Widlund, Olof B. 127 1986 Method of domain decomposition with cross points for elliptic finite element problems. Zbl 0672.65087Dryja, M.; Proskurowski, W.; Widlund, O. 12 1986 Solving elliptic problems on regions partitioned into substructures. Zbl 0561.65078Bjørstad, Petter E.; Widlund, Olof B. 6 1984 Iterative methods for elliptic problems on regions partitioned into substructures and the biharmonic Dirichlet problem. Zbl 0569.65081Widlund, Olof B. 3 1984 Solution of the Helmholtz equation for the Dirichlet problem on general bounded three-dimensional regions. Zbl 0455.65073O’Leary, Dianne P.; Widlund, Olof 1 1981 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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. 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