Xu, Shengjie A dual-primal balanced augmented Lagrangian method for linearly constrained convex programming. (English) Zbl 1509.90152 J. Appl. Math. Comput. 69, No. 1, 1015-1035 (2023). MSC: 90C25 90C06 65K05 PDFBibTeX XMLCite \textit{S. Xu}, J. Appl. Math. Comput. 69, No. 1, 1015--1035 (2023; Zbl 1509.90152) Full Text: DOI arXiv
Tran-Dinh, Quoc; Liang, Ling; Toh, Kim-Chuan A new homotopy proximal variable-metric framework for composite convex minimization. (English) Zbl 1498.90159 Math. Oper. Res. 47, No. 1, 508-539 (2022). Reviewer: Yisheng Song (Hong Kong) MSC: 90C25 90C31 90C06 90-08 PDFBibTeX XMLCite \textit{Q. Tran-Dinh} et al., Math. Oper. Res. 47, No. 1, 508--539 (2022; Zbl 1498.90159) Full Text: DOI arXiv
Seibold, Andreas S.; Leistner, Michael C.; Rixen, Daniel J. Localization of nonlinearities and recycling in dual domain decomposition. (English) Zbl 1502.65254 Haynes, Ronald (ed.) et al., 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. Cham: Springer. Lect. Notes Comput. Sci. Eng. 138, 474-482 (2020). MSC: 65N55 65N30 65K05 65H05 65F08 65F10 65Y05 35Q74 PDFBibTeX XMLCite \textit{A. S. Seibold} et al., Lect. Notes Comput. Sci. Eng. 138, 474--482 (2020; Zbl 1502.65254) Full Text: DOI
Widlund, Olof B.; Pavarino, Luca F.; Scacchi, Simone; Zampini, Stefano Preconditioners for isogeometric analysis and almost incompressible elasticity. (English) Zbl 1502.65257 Haynes, Ronald (ed.) et al., 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. Cham: Springer. Lect. Notes Comput. Sci. Eng. 138, 350-358 (2020). MSC: 65N55 65N30 65F10 74B10 74S05 74S22 PDFBibTeX XMLCite \textit{O. B. Widlund} et al., Lect. Notes Comput. Sci. Eng. 138, 350--358 (2020; Zbl 1502.65257) Full Text: DOI
Kim, Hyea Hyun; Chung, Eric T.; Wang, Junxian Adaptive BDDC and FETI-DP methods with change of basis formulation. (English) Zbl 1450.65167 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 445-453 (2018). MSC: 65N55 65N30 65F08 65F10 65Y05 35J25 PDFBibTeX XMLCite \textit{H. H. Kim} et al., Lect. Notes Comput. Sci. Eng. 125, 445--453 (2018; Zbl 1450.65167) Full Text: DOI
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias On the accuracy of the inner Newton iteration in nonlinear domain decomposition. (English) Zbl 1450.65170 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 435-443 (2018). MSC: 65N55 65N30 65H10 65F08 65F10 PDFBibTeX XMLCite \textit{A. Klawonn} et al., Lect. Notes Comput. Sci. Eng. 125, 435--443 (2018; Zbl 1450.65170) Full Text: DOI
Klawonn, Axel; Kühn, Martin; Rheinbach, Oliver Preconditioning of iterative eigenvalue problem solvers in adaptive FETI-DP. (English) Zbl 1450.65168 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 415-423 (2018). MSC: 65N55 65N25 65N30 65F15 65F35 65F08 65F10 65F05 65F22 74B10 PDFBibTeX XMLCite \textit{A. Klawonn} et al., Lect. Notes Comput. Sci. Eng. 125, 415--423 (2018; Zbl 1450.65168) Full Text: DOI
Desai, Ajit; Khalil, Mohammad; Pettit, Chris; Poirel, Dominique; Sarkar, Abhijit Scalable domain decomposition solvers for stochastic PDEs in high performance computing. (English) Zbl 1440.65264 Comput. Methods Appl. Mech. Eng. 335, 194-222 (2018). MSC: 65N55 35R60 60H15 65N75 PDFBibTeX XMLCite \textit{A. Desai} et al., Comput. Methods Appl. Mech. Eng. 335, 194--222 (2018; Zbl 1440.65264) Full Text: DOI Link
Hofer, Christoph Analysis of discontinuous Galerkin dual-primal isogeometric tearing and interconnecting methods. (English) Zbl 1379.65088 Math. Models Methods Appl. Sci. 28, No. 1, 131-158 (2018). MSC: 65N30 35J05 65F08 65F35 PDFBibTeX XMLCite \textit{C. Hofer}, Math. Models Methods Appl. Sci. 28, No. 1, 131--158 (2018; Zbl 1379.65088) Full Text: DOI arXiv
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver; Uran, Matthias Nonlinear FETI-DP and BDDC methods: a unified framework and parallel results. (English) Zbl 1377.65163 SIAM J. Sci. Comput. 39, No. 6, C417-C451 (2017). MSC: 65N55 65F08 65Y05 35J60 PDFBibTeX XMLCite \textit{A. Klawonn} et al., SIAM J. Sci. Comput. 39, No. 6, C417--C451 (2017; Zbl 1377.65163) Full Text: DOI
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver Toward extremely scalable nonlinear domain decomposition methods for elliptic partial differential equations. (English) Zbl 1329.65294 SIAM J. Sci. Comput. 37, No. 6, C667-C696 (2015). MSC: 65N55 65N30 35J60 65Y05 74B20 74S05 PDFBibTeX XMLCite \textit{A. Klawonn} et al., SIAM J. Sci. Comput. 37, No. 6, C667--C696 (2015; Zbl 1329.65294) Full Text: DOI
Marcinkowski, Leszek; Rahman, Talal A parallel preconditioner for a FETI-DP method for the Crouzeix-Raviart finite element. (English) Zbl 1382.65413 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 697-705 (2014). MSC: 65N30 35J25 65F08 65Y05 PDFBibTeX XMLCite \textit{L. Marcinkowski} and \textit{T. Rahman}, Lect. Notes Comput. Sci. Eng. 98, 697--705 (2014; Zbl 1382.65413) Full Text: DOI
Herzog, Roland; Rheinbach, Oliver FETI-DP methods for optimal control problems. (English) Zbl 1382.65184 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer (ISBN 978-3-319-05788-0/hbk; 978-3-319-35548-1/pbk; 978-3-319-05789-7/ebook). Lecture Notes in Computational Science and Engineering 98, 387-395 (2014). MSC: 65K10 49J20 49M27 74B05 PDFBibTeX XMLCite \textit{R. Herzog} and \textit{O. Rheinbach}, Lect. Notes Comput. Sci. Eng. 98, 387--395 (2014; Zbl 1382.65184) Full Text: DOI
Xue, Ming-Feng; Jin, Jian-Ming A preconditioned dual-primal finite element tearing and interconnecting method for solving three-dimensional time-harmonic Maxwell’s equations. (English) Zbl 1351.78044 J. Comput. Phys. 274, 920-935 (2014). MSC: 78M10 PDFBibTeX XMLCite \textit{M.-F. Xue} and \textit{J.-M. Jin}, J. Comput. Phys. 274, 920--935 (2014; Zbl 1351.78044) Full Text: DOI
Klawonn, Axel; Lanser, Martin; Rheinbach, Oliver Nonlinear FETI-DP and BDDC methods. (English) Zbl 1296.65178 SIAM J. Sci. Comput. 36, No. 2, 737-765 (2014). MSC: 65N55 65N30 35J92 65N12 PDFBibTeX XMLCite \textit{A. Klawonn} et al., SIAM J. Sci. Comput. 36, No. 2, 737--765 (2014; Zbl 1296.65178) Full Text: DOI Link
Canuto, Claudio; Pavarino, Luca F.; Pieri, Alexandre B. BDDC preconditioners for continuous and discontinuous Galerkin methods using spectral/\(hp\) elements with variable local polynomial degree. (English) Zbl 1297.65150 IMA J. Numer. Anal. 34, No. 3, 879-903 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65F08 35J25 65N55 PDFBibTeX XMLCite \textit{C. Canuto} et al., IMA J. Numer. Anal. 34, No. 3, 879--903 (2014; Zbl 1297.65150) Full Text: DOI
Subber, Waad; Sarkar, Abhijit Dual-primal domain decomposition method for uncertainty quantification. (English) Zbl 1286.65167 Comput. Methods Appl. Mech. Eng. 266, 112-124 (2013). MSC: 65N30 65N55 65N75 74S60 PDFBibTeX XMLCite \textit{W. Subber} and \textit{A. Sarkar}, Comput. Methods Appl. Mech. Eng. 266, 112--124 (2013; Zbl 1286.65167) Full Text: DOI
Lee, Jungho Two domain decomposition methods for auxiliary linear problems of a multibody elliptic variational inequality. (English) Zbl 1276.65037 SIAM J. Sci. Comput. 35, No. 3, A1350-A1375 (2013). Reviewer: Costică Moroşanu (Iaşi) MSC: 65K15 49J40 49M27 65F35 PDFBibTeX XMLCite \textit{J. Lee}, SIAM J. Sci. Comput. 35, No. 3, A1350--A1375 (2013; Zbl 1276.65037) Full Text: DOI
Beirão da Veiga, L.; Cho, D.; Pavarino, L. F.; Scacchi, S. BDDC preconditioners for isogeometric analysis. (English) Zbl 1280.65138 Math. Models Methods Appl. Sci. 23, No. 6, 1099-1142 (2013). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N55 65F08 65N30 35J25 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Math. Models Methods Appl. Sci. 23, No. 6, 1099--1142 (2013; Zbl 1280.65138) Full Text: DOI
Li, Wei Dual-primal algorithm for linear optimization. (English) Zbl 1269.65055 Optim. Methods Softw. 28, No. 2, 327-338 (2013). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C05 90C51 PDFBibTeX XMLCite \textit{W. Li}, Optim. Methods Softw. 28, No. 2, 327--338 (2013; Zbl 1269.65055) Full Text: DOI
Beig, Davood Ansari Oghol; Leong, Mook-Seng Dual-grid-based tree/cotree decomposition of higher-order interpolatory \(H(\nabla \wedge, \Omega )\) basis. (English) Zbl 1193.65197 Int. J. Numer. Methods Eng. 82, No. 13, 1689-1719 (2010). MSC: 65N30 65F10 PDFBibTeX XMLCite \textit{D. A. O. Beig} and \textit{M.-S. Leong}, Int. J. Numer. Methods Eng. 82, No. 13, 1689--1719 (2010; Zbl 1193.65197) Full Text: DOI
Herrera, Ismael; Yates, Robert A. The multipliers-free domain decomposition methods. (English) Zbl 1196.65159 Numer. Methods Partial Differ. Equations 26, No. 4, 874-905 (2010). Reviewer: Costică Moroşanu (Iaşi) MSC: 65M55 65M60 65F08 PDFBibTeX XMLCite \textit{I. Herrera} and \textit{R. A. Yates}, Numer. Methods Partial Differ. Equations 26, No. 4, 874--905 (2010; Zbl 1196.65159) Full Text: DOI
Li, Jing; Tu, Xuemin Convergence analysis of a balancing domain decomposition method for solving a class of indefinite linear systems. (English) Zbl 1224.65248 Numer. Linear Algebra Appl. 16, No. 9, 745-773 (2009). Reviewer: Jakub Šístek (Praha) MSC: 65N12 65N55 65F08 35J05 65N30 65F10 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Tu}, Numer. Linear Algebra Appl. 16, No. 9, 745--773 (2009; Zbl 1224.65248) Full Text: DOI
Lee, Chang-Ock; Park, Eun-Hee A domain decomposition method based on augmented Lagrangian with a Penalty term. (English) Zbl 1183.65163 Bercovier, Michel (ed.) et al., 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. Berlin: Springer (ISBN 978-3-642-02676-8/hbk; 978-3-642-04466-3/ebook). Lecture Notes in Computational Science and Engineering 70, 339-346 (2009). MSC: 65N55 PDFBibTeX XMLCite \textit{C.-O. Lee} and \textit{E.-H. Park}, Lect. Notes Comput. Sci. Eng. 70, 339--346 (2009; Zbl 1183.65163) Full Text: DOI
Herrera, Ismael; Yates, Robert A. Unified multipliers-free theory of dual-primal domain decomposition methods. (English) Zbl 1190.65182 Numer. Methods Partial Differ. Equations 25, No. 3, 552-581 (2009). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65N55 65N30 65F08 PDFBibTeX XMLCite \textit{I. Herrera} and \textit{R. A. Yates}, Numer. Methods Partial Differ. Equations 25, No. 3, 552--581 (2009; Zbl 1190.65182) Full Text: DOI
Li, Yu-Jia; Jin, Jian-Ming Parallel implementation of the FETI-DPEM algorithm for general 3D EM simulations. (English) Zbl 1162.78305 J. Comput. Phys. 228, No. 9, 3255-3267 (2009). MSC: 78M10 78M25 65Y05 PDFBibTeX XMLCite \textit{Y.-J. Li} and \textit{J.-M. Jin}, J. Comput. Phys. 228, No. 9, 3255--3267 (2008; Zbl 1162.78305) Full Text: DOI
Brenner, Susanne C. A functional analytic framework for BDDC and FETI-DP. (English) Zbl 1140.65362 Langer, Ulrich (ed.) et al., 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. Berlin: Springer (ISBN 978-3-540-75198-4/pbk). Lecture Notes in Computational Science and Engineering 60, 239-246 (2008). MSC: 65N30 35J25 65N55 65F10 65F35 PDFBibTeX XMLCite \textit{S. C. Brenner}, Lect. Notes Comput. Sci. Eng. 60, 239--246 (2008; Zbl 1140.65362) Full Text: DOI
Dokeva, N.; Dryja, M.; Proskurowski, W. A FETI-DP preconditioner with a special scaling for mortar discretization of elliptic problems with discontinuous coefficients. (English) Zbl 1113.65108 SIAM J. Numer. Anal. 44, No. 1, 283-299 (2006). Reviewer: Srinivasan Natesan (Assam) MSC: 65N30 65N55 65F10 65F35 35J25 35R05 PDFBibTeX XMLCite \textit{N. Dokeva} et al., SIAM J. Numer. Anal. 44, No. 1, 283--299 (2006; Zbl 1113.65108) Full Text: DOI Link
Li, Jing A dual-primal FETI method for incompressible Stokes equations. (English) Zbl 1185.76813 Numer. Math. 102, No. 2, 257-275 (2005). MSC: 76M10 76D07 65N30 PDFBibTeX XMLCite \textit{J. Li}, Numer. Math. 102, No. 2, 257--275 (2005; Zbl 1185.76813) Full Text: DOI
Kim, Hyea Hyun; Lee, Chang-Ock A preconditioner for the FETI-DP formulation with mortar methods in two dimensions. (English) Zbl 1080.65117 SIAM J. Numer. Anal. 42, No. 5, 2159-2175 (2005). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N55 65N30 65F10 65F35 35J25 35R05 65Y05 PDFBibTeX XMLCite \textit{H. H. Kim} and \textit{C.-O. Lee}, SIAM J. Numer. Anal. 42, No. 5, 2159--2175 (2005; Zbl 1080.65117) Full Text: DOI
Stefanica, Dan Choosing nonmortars: does it influence the performance of FETI-DP algorithms? (English) Zbl 1067.65113 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 377-384 (2005). MSC: 65N12 65N30 35J25 PDFBibTeX XMLCite \textit{D. Stefanica}, Lect. Notes Comput. Sci. Eng. 40, 377--384 (2005; Zbl 1067.65113)
Dryja, Maksymilian; Proskurowski, Wlodek A FETI-DP method for the mortar discretization of elliptic problems with discontinuous coefficients. (English) Zbl 1066.65123 Kornhuber, Ralf (ed.) et al., Domain decomposition methods in science and engineering. Selected papers of the 15th international conference on domain decomposition, Berlin, Germany, July 21–25, 2003. Berlin: Springer (ISBN 3-540-22523-4/pbk). Lecture Notes in Computational Science and Engineering 40, 345-352 (2005). MSC: 65N30 65N12 65N55 35J25 35R05 65F35 PDFBibTeX XMLCite \textit{M. Dryja} and \textit{W. Proskurowski}, Lect. Notes Comput. Sci. Eng. 40, 345--352 (2005; Zbl 1066.65123)
Dryja, Maksymilian; Widlund, Olof B. A FETI-DP method for a mortar discretization of elliptic problems. (English) Zbl 1007.65094 Pavarino, Luca F. (ed.) et al., Recent developments in domain decomposition methods. Some papers of the workshop on domain decomposition, ETH Zürich, Switzerland, June 7-8. 2001. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 23, 41-52 (2002). MSC: 65N30 65N55 65F35 35J25 65Y05 PDFBibTeX XMLCite \textit{M. Dryja} and \textit{O. B. Widlund}, Lect. Notes Comput. Sci. Eng. 23, 41--52 (2002; Zbl 1007.65094)
Klawonn, Axel; Widlund, Olof B.; Dryja, Maksymilian Dual-primal FETI methods with face constraints. (English) Zbl 1009.65069 Pavarino, Luca F. (ed.) et al., Recent developments in domain decomposition methods. Some papers of the workshop on domain decomposition, ETH Zürich, Switzerland, June 7-8. 2001. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 23, 27-40 (2002). MSC: 65N30 65F10 65F25 35J25 65N12 PDFBibTeX XMLCite \textit{A. Klawonn} et al., Lect. Notes Comput. Sci. Eng. 23, 27--40 (2002; Zbl 1009.65069)
Mandel, Jan; Tezaur, Radek On the convergence of a dual-primal substructuring method. (English) Zbl 1003.65126 Numer. Math. 88, No. 3, 543-558 (2001). Reviewer: R.H.W.Hoppe (München) MSC: 65N30 65N12 65F10 65F35 65N55 35J25 35J40 PDFBibTeX XMLCite \textit{J. Mandel} and \textit{R. Tezaur}, Numer. Math. 88, No. 3, 543--558 (2001; Zbl 1003.65126) Full Text: DOI
Farhat, Charbel; Lesoinne, Michel; LeTallec, Patrick; Pierson, Kendall; Rixen, Daniel FETI-DP: A dual-prime unified FETI method. I: A faster alternative to the two-level FETI method. (English) Zbl 1008.74076 Int. J. Numer. Methods Eng. 50, No. 7, 1523-1544 (2001). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{C. Farhat} et al., Int. J. Numer. Methods Eng. 50, No. 7, 1523--1544 (2001; Zbl 1008.74076) Full Text: DOI