Lohmann, Christoph; Dünnebacke, Jonas; Turek, Stefan Fourier analysis of a time-simultaneous two-grid algorithm using a damped Jacobi waveform relaxation smoother for the one-dimensional heat equation. (English) Zbl 1502.65104 J. Numer. Math. 30, No. 3, 173-207 (2022). MSC: 65M55 65M06 65N06 65N30 65N12 65Y05 42A38 PDFBibTeX XMLCite \textit{C. Lohmann} et al., J. Numer. Math. 30, No. 3, 173--207 (2022; Zbl 1502.65104) Full Text: DOI
Dostál, Zdeněk; Brzobohatý, Tomáš; Vlach, Oldřich Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems. (English) Zbl 1481.65253 J. Numer. Math. 29, No. 4, 289-306 (2021). MSC: 65N55 65N30 65F55 65F08 15A18 15A42 49M41 35J05 PDFBibTeX XMLCite \textit{Z. Dostál} et al., J. Numer. Math. 29, No. 4, 289--306 (2021; Zbl 1481.65253) Full Text: DOI
Du, Guangzhi; Zuo, Liyun A two-grid method with backtracking for the mixed Stokes/Darcy model. (English) Zbl 1471.65194 J. Numer. Math. 29, No. 1, 39-46 (2021). MSC: 65N30 65N55 65N15 76D07 76S05 PDFBibTeX XMLCite \textit{G. Du} and \textit{L. Zuo}, J. Numer. Math. 29, No. 1, 39--46 (2021; Zbl 1471.65194) Full Text: DOI
Zhang, Bo; Chen, Jixin; Yang, Danping Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation. (English) Zbl 1362.65069 J. Numer. Math. 25, No. 1, 35-53 (2017). MSC: 65K10 49J20 49M27 65Y05 PDFBibTeX XMLCite \textit{B. Zhang} et al., J. Numer. Math. 25, No. 1, 35--53 (2017; Zbl 1362.65069) Full Text: DOI
Maier, Matthias; Rannacher, Rolf Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. (English) Zbl 1351.65090 J. Numer. Math. 24, No. 3, 167-187 (2016). MSC: 65N30 65N12 65N15 65N50 65N55 35J25 PDFBibTeX XMLCite \textit{M. Maier} and \textit{R. Rannacher}, J. Numer. Math. 24, No. 3, 167--187 (2016; Zbl 1351.65090) Full Text: DOI
Badea, Lori Convergence rate of some hybrid multigrid methods for variational inequalities. (English) Zbl 1325.65168 J. Numer. Math. 23, No. 3, 195-210 (2015). MSC: 65N55 65N30 65J15 PDFBibTeX XMLCite \textit{L. Badea}, J. Numer. Math. 23, No. 3, 195--210 (2015; Zbl 1325.65168) Full Text: DOI
Kanschat, Guido; Mao, Youli Multigrid methods for \(H^{\mathrm{div}}\)-conforming discontinuous Galerkin methods for the Stokes equations. (English) Zbl 1330.76071 J. Numer. Math. 23, No. 1, 51-66 (2015). MSC: 76M10 65N30 65N12 65N55 76D07 PDFBibTeX XMLCite \textit{G. Kanschat} and \textit{Y. Mao}, J. Numer. Math. 23, No. 1, 51--66 (2015; Zbl 1330.76071) Full Text: DOI arXiv
Kuznetsov, Yu. A.; Repin, S. I. Guaranteed lower bounds of the smallest eigenvalues of elliptic differential operators. (English) Zbl 1282.65144 J. Numer. Math. 21, No. 2, 135-156 (2013). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N25 65N55 35P15 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov} and \textit{S. I. Repin}, J. Numer. Math. 21, No. 2, 135--156 (2013; Zbl 1282.65144) Full Text: DOI
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N. High performance domain decomposition methods on massively parallel architectures with freefem++. (English) Zbl 1267.65195 J. Numer. Math. 20, No. 3-4, 287-302 (2012). MSC: 65N55 35J25 65Y05 65N30 PDFBibTeX XMLCite \textit{P. Jolivet} et al., J. Numer. Math. 20, No. 3--4, 287--302 (2012; Zbl 1267.65195) Full Text: DOI HAL
Chacón Vera, E.; Franco Coronil, D. A non-standard FETI-DP mortar method for Stokes problem. (English) Zbl 1299.76132 J. Numer. Math. 20, No. 3-4, 161-182 (2012). MSC: 76M10 65N30 65N55 76D05 PDFBibTeX XMLCite \textit{E. Chacón Vera} and \textit{D. Franco Coronil}, J. Numer. Math. 20, No. 3--4, 161--182 (2012; Zbl 1299.76132) Full Text: DOI Link
Barker, A. T.; Brenner, S. C.; Sung, L.-Y. Overlapping Schwarz domain decomposition preconditioners for the local discontinuous Galerkin method for elliptic problems. (English) Zbl 1232.65164 J. Numer. Math. 19, No. 3, 165-187 (2011). Reviewer: Michael Jung (Dresden) MSC: 65N55 65N30 65Y05 35J05 65F08 PDFBibTeX XMLCite \textit{A. T. Barker} et al., J. Numer. Math. 19, No. 3, 165--187 (2011; Zbl 1232.65164) Full Text: DOI
Hussain, S.; Schieweck, F.; Turek, S. Higher order Galerkin time discretizations and fast multigrid solvers for the heat equation. (English) Zbl 1218.65107 J. Numer. Math. 19, No. 1, 41-61 (2011). MSC: 65M60 35K05 65M55 65M12 PDFBibTeX XMLCite \textit{S. Hussain} et al., J. Numer. Math. 19, No. 1, 41--61 (2011; Zbl 1218.65107) Full Text: DOI
Marcinkowski, L. A balancing Neumann-Neumann method for a mortar finite element discretization of a fourth order elliptic problem. (English) Zbl 1204.65141 J. Numer. Math. 18, No. 3, 219-234 (2010). Reviewer: Srinivasan Natesan (Assam) MSC: 65N55 65N30 35J40 35R05 65F35 PDFBibTeX XMLCite \textit{L. Marcinkowski}, J. Numer. Math. 18, No. 3, 219--234 (2010; Zbl 1204.65141) Full Text: DOI
Copeland, D. M.; Langer, U. Domain decomposition solvers for nonlinear multiharmonic finite element equations. (English) Zbl 1204.65121 J. Numer. Math. 18, No. 3, 157-175 (2010). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M55 65M60 35K55 35C10 PDFBibTeX XMLCite \textit{D. M. Copeland} and \textit{U. Langer}, J. Numer. Math. 18, No. 3, 157--175 (2010; Zbl 1204.65121) Full Text: DOI
Xu, X.; Chen, H.; Hoppe, R. H. W. Optimality of local multilevel methods on adaptively refined meshes for elliptic boundary value problems. (English) Zbl 1194.65147 J. Numer. Math. 18, No. 1, 59-90 (2010). Reviewer: Srinivasan Natesan (Assam) MSC: 65N55 65N30 35J25 65F08 PDFBibTeX XMLCite \textit{X. Xu} et al., J. Numer. Math. 18, No. 1, 59--90 (2010; Zbl 1194.65147) Full Text: DOI
Of, G.; Steinbach, O. The all-floating boundary element tearing and interconnecting method. (English) Zbl 1423.74943 J. Numer. Math. 17, No. 4, 277-298 (2009). MSC: 74S15 65N55 PDFBibTeX XMLCite \textit{G. Of} and \textit{O. Steinbach}, J. Numer. Math. 17, No. 4, 277--298 (2009; Zbl 1423.74943) Full Text: DOI
Gerardo-Giorda, L. Balancing waveform relaxation for age-structured populations in a multilayer environment. (English) Zbl 1158.92042 J. Numer. Math. 16, No. 4, 281-306 (2008). MSC: 92D40 35Q92 35A35 35A15 PDFBibTeX XMLCite \textit{L. Gerardo-Giorda}, J. Numer. Math. 16, No. 4, 281--306 (2008; Zbl 1158.92042) Full Text: DOI
Wang, C.; Huang, Z.; Li, L. Cascadic multigrid method for \(P_1\)-nonconforming quadrilateral element. (English) Zbl 1180.65165 J. Numer. Math. 16, No. 3, 237-248 (2008). Reviewer: I. N. Katz (St. Louis) MSC: 65N55 65N30 35J25 65Y20 65F10 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Numer. Math. 16, No. 3, 237--248 (2008; Zbl 1180.65165) Full Text: DOI
Greff, I.; Hackbusch, W. Numerical method for elliptic multiscale problems. (English) Zbl 1151.65095 J. Numer. Math. 16, No. 2, 119-138 (2008). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N55 65N30 35B27 65N50 35J25 PDFBibTeX XMLCite \textit{I. Greff} and \textit{W. Hackbusch}, J. Numer. Math. 16, No. 2, 119--138 (2008; Zbl 1151.65095) Full Text: DOI
Bialecki, B.; Dryja, M. Nonoverlapping domain decomposition with cross points for orthogonal spline collocation. (English) Zbl 1149.65093 J. Numer. Math. 16, No. 2, 83-106 (2008). Reviewer: Srinivasan Natesan (Assam) MSC: 65N55 65N35 35J05 65F10 35F30 65T50 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{M. Dryja}, J. Numer. Math. 16, No. 2, 83--106 (2008; Zbl 1149.65093) Full Text: DOI
Cho, D.; Zikatanov, L. A multilevel precondition for generalized finite element method problems on unstructured simplicial meshes. (English) Zbl 1156.65095 J. Numer. Math. 15, No. 3, 163-180 (2007). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N55 65F35 35J25 65F10 PDFBibTeX XMLCite \textit{D. Cho} and \textit{L. Zikatanov}, J. Numer. Math. 15, No. 3, 163--180 (2007; Zbl 1156.65095)
Beuchler, S.; Nepomnyaschikh, S. V. Overlapping additive Schwarz preconditioners for isotropic elliptic problems with degenerate coefficients. (English) Zbl 1134.65085 J. Numer. Math. 15, No. 4, 245-276 (2007). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N55 65F35 35J25 65N30 35J70 65F10 PDFBibTeX XMLCite \textit{S. Beuchler} and \textit{S. V. Nepomnyaschikh}, J. Numer. Math. 15, No. 4, 245--276 (2007; Zbl 1134.65085) Full Text: DOI
Boglaev, I. Monotone algorithms for solving nonlinear monotone difference schemes of parabolic type in the canonical form. (English) Zbl 1125.65078 J. Numer. Math. 14, No. 4, 247-266 (2006). Reviewer: Weizhong Dai (Ruston) MSC: 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{I. Boglaev}, J. Numer. Math. 14, No. 4, 247--266 (2006; Zbl 1125.65078) Full Text: DOI
Gerardo-Giorda, L.; Nataf, F. Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. (English) Zbl 1092.65112 J. Numer. Math. 13, No. 4, 265-294 (2005). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N55 35J25 35R05 PDFBibTeX XMLCite \textit{L. Gerardo-Giorda} and \textit{F. Nataf}, J. Numer. Math. 13, No. 4, 265--294 (2005; Zbl 1092.65112) Full Text: DOI
Kwak, D. Y.; Lee, J. S. Multigrid analysis for higher order finite difference scheme. (English) Zbl 1085.65116 J. Numer. Math. 12, No. 4, 285-296 (2004). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65N55 65N06 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{D. Y. Kwak} and \textit{J. S. Lee}, J. Numer. Math. 12, No. 4, 285--296 (2004; Zbl 1085.65116) Full Text: DOI
Boglaev, I. A monotone Schwarz algorithm for a semilinear convection-diffusion problem. (English) Zbl 1058.65138 J. Numer. Math. 12, No. 3, 169-191 (2004). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N55 65N06 35J65 35B25 PDFBibTeX XMLCite \textit{I. Boglaev}, J. Numer. Math. 12, No. 3, 169--191 (2004; Zbl 1058.65138) Full Text: DOI
Dryja, M.; Gantner, A.; Widlund, O. B.; Wohlmuth, B. I. Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods. (English) Zbl 1050.65048 J. Numer. Math. 12, No. 1, 23-38 (2004). Reviewer: Iulian Coroian (Baia Mare) MSC: 65F35 65N55 65N30 65F10 35J25 PDFBibTeX XMLCite \textit{M. Dryja} et al., J. Numer. Math. 12, No. 1, 23--38 (2004; Zbl 1050.65048) Full Text: DOI
Knyazev, A. V. Analysis of transmission problems on Lipschitz boundaries in stronger norms. (English) Zbl 1083.65113 J. Numer. Math. 11, No. 3, 225-234 (2003). Reviewer: Ramaz Botchorishvili (Tbilisi) MSC: 65N55 35J25 35R05 35B40 PDFBibTeX XMLCite \textit{A. V. Knyazev}, J. Numer. Math. 11, No. 3, 225--234 (2003; Zbl 1083.65113) Full Text: DOI
Chou, S. H.; Huang, J. A domain decomposition algorithm for general covolume methods for elliptic problems. (English) Zbl 1083.65111 J. Numer. Math. 11, No. 3, 179-194 (2003). Reviewer: Ramaz Botchorishvili (Tbilisi) MSC: 65N55 65N30 65N12 65F10 65F35 35J25 65N50 65N15 PDFBibTeX XMLCite \textit{S. H. Chou} and \textit{J. Huang}, J. Numer. Math. 11, No. 3, 179--194 (2003; Zbl 1083.65111) Full Text: DOI
Kuznetsov, Yu. A. Spectrally equivalent preconditioners for mixed hybrid discretizations of diffusion equations on distorted meshes. (English) Zbl 1022.65125 J. Numer. Math. 11, No. 1, 61-74 (2003). MSC: 65N30 65F35 65N55 65F10 35J05 PDFBibTeX XMLCite \textit{Yu. A. Kuznetsov}, J. Numer. Math. 11, No. 1, 61--74 (2003; Zbl 1022.65125) Full Text: DOI
Turek, S.; Ouazzi, A.; Schmachtel, R. Multigrid methods for stabilized nonconforming finite elements for incompressible flow involving the deformation tensor formulation. (English) Zbl 1099.76520 J. Numer. Math. 10, No. 3, 235-248 (2002). MSC: 76M10 65N55 65N30 PDFBibTeX XMLCite \textit{S. Turek} et al., J. Numer. Math. 10, No. 3, 235--248 (2002; Zbl 1099.76520) Full Text: DOI
Pasciak, J. E.; Zhao, J. Overlapping Schwarz methods in H(curl) on polyhedral domains. (English) Zbl 1017.65099 J. Numer. Math. 10, No. 3, 221-234 (2002). Reviewer: Vit Dolejsi (Praha) MSC: 65N55 35J25 65N30 65F10 65F35 PDFBibTeX XMLCite \textit{J. E. Pasciak} and \textit{J. Zhao}, J. Numer. Math. 10, No. 3, 221--234 (2002; Zbl 1017.65099) Full Text: DOI
Feng, X.; Rahman, T. An additive average Schwarz method for the plate bending problem. (English) Zbl 1077.74557 J. Numer. Math. 10, No. 2, 109-125 (2002). MSC: 74K20 74S05 65N55 PDFBibTeX XMLCite \textit{X. Feng} and \textit{T. Rahman}, J. Numer. Math. 10, No. 2, 109--125 (2002; Zbl 1077.74557) Full Text: DOI