Fokoué, Diane; Bourgault, Yves Numerical analysis of finite element methods for the cardiac extracellular-membrane-intracellular model: Steklov-Poincaré operator and spatial error estimates. (English) Zbl 07739224 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2595-2621 (2023). MSC: 65M12 65M15 65M60 35K57 92C37 PDF BibTeX XML Cite \textit{D. Fokoué} and \textit{Y. Bourgault}, ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2595--2621 (2023; Zbl 07739224) Full Text: DOI
Huynh, Phuoc-Toan; Cao, Yanzhao; Hoang, Thi-Thao-Phuong Fast and accuracy-preserving domain decomposition methods for reduced fracture models with nonconforming time grids. (English) Zbl 07708365 J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023). MSC: 65M55 65N30 76S05 35K20 PDF BibTeX XML Cite \textit{P.-T. Huynh} et al., J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023; Zbl 07708365) Full Text: DOI arXiv
Thi-Thao-Phuong Hoang; Pop, Iuliu Sorin Iterative methods with nonconforming time grids for nonlinear flow problems in porous media. (English) Zbl 1516.65082 Acta Math. Vietnam. 48, No. 1, 29-49 (2023). MSC: 65M55 65M60 65M06 65N30 65H10 65F10 65Y05 65M50 76S05 35K55 35Q35 PDF BibTeX XML Cite \textit{Thi-Thao-Phuong Hoang} and \textit{I. S. Pop}, Acta Math. Vietnam. 48, No. 1, 29--49 (2023; Zbl 1516.65082) Full Text: DOI
Abid, Chaima; Abda, Amel Ben; Fatma, Riadh Ben; Boukari, Yosra A data completion algorithm using an integral representation of the Steklov-Poincaré operator. (English) Zbl 1504.65242 J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023). MSC: 65N20 65N21 65K10 65R20 65F08 65F10 65N12 35J05 35R25 PDF BibTeX XML Cite \textit{C. Abid} et al., J. Comput. Appl. Math. 422, Article ID 114855, 13 p. (2023; Zbl 1504.65242) Full Text: DOI
Utyuzhnikov, Sergey V.; Li, Hongru Domain decomposition with nonlocal interface boundary conditions. (English) Zbl 1502.65256 J. Comput. Appl. Math. 421, Article ID 114847, 17 p. (2023). MSC: 65N55 65N50 65F08 65N12 65Y05 76F50 35Q35 PDF BibTeX XML Cite \textit{S. V. Utyuzhnikov} and \textit{H. Li}, J. Comput. Appl. Math. 421, Article ID 114847, 17 p. (2023; Zbl 1502.65256) Full Text: DOI
Laadj, Toufik; M’hamed-Messaoud, Khaled Steklov-Poincaré operator for a system of coupled abstract Cauchy problems. (English) Zbl 1494.35073 Differ. Equ. Dyn. Syst. 30, No. 3, 597-605 (2022). MSC: 35F40 34E05 35L90 35P25 47D06 78A45 PDF BibTeX XML Cite \textit{T. Laadj} and \textit{K. M'hamed-Messaoud}, Differ. Equ. Dyn. Syst. 30, No. 3, 597--605 (2022; Zbl 1494.35073) Full Text: DOI
Engström, Emil; Hansen, Eskil Convergence analysis of the nonoverlapping Robin-Robin method for nonlinear elliptic equations. (English) Zbl 1493.65259 SIAM J. Numer. Anal. 60, No. 2, 585-605 (2022). MSC: 65N55 65J15 65N12 35J70 47N20 PDF BibTeX XML Cite \textit{E. Engström} and \textit{E. Hansen}, SIAM J. Numer. Anal. 60, No. 2, 585--605 (2022; Zbl 1493.65259) Full Text: DOI arXiv
Ellabib, Abdellatif; Nachaoui, Abdeljalil; Ousaadane, Abdessamad Mathematical analysis and simulation of fixed point formulation of Cauchy problem in linear elasticity. (English) Zbl 07428956 Math. Comput. Simul. 187, 231-247 (2021). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{A. Ellabib} et al., Math. Comput. Simul. 187, 231--247 (2021; Zbl 07428956) Full Text: DOI
Nachaoui, A.; Nachaoui, M.; Chakib, A.; Hilal, M. A. Some novel numerical techniques for an inverse Cauchy problem. (English) Zbl 1446.65151 J. Comput. Appl. Math. 381, Article ID 113030, 20 p. (2021). MSC: 65N21 65N20 65N55 65J20 47H11 65N30 PDF BibTeX XML Cite \textit{A. Nachaoui} et al., J. Comput. Appl. Math. 381, Article ID 113030, 20 p. (2021; Zbl 1446.65151) Full Text: DOI
Duarte da Silva Xavier, Marcel; Novotny, Antonio André; Sokołowski, Jan Growth control of cracks under contact conditions based on the topological derivative of the Rice’s integral. (English) Zbl 1451.74172 Control Cybern. 48, No. 2, 307-323 (2019). MSC: 74M05 74R10 74P10 PDF BibTeX XML Cite \textit{M. Duarte da Silva Xavier} et al., Control Cybern. 48, No. 2, 307--323 (2019; Zbl 1451.74172)
Loghin, Daniel Preconditioned Dirichlet-Dirichlet methods for optimal control of elliptic PDE. (English) Zbl 1438.65135 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 26, No. 2, 175-192 (2018). MSC: 65K10 65N55 65F10 90C51 49N90 PDF BibTeX XML Cite \textit{D. Loghin}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 26, No. 2, 175--192 (2018; Zbl 1438.65135) Full Text: DOI
Gosse, Laurent Reprint of: “Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion”. (English) Zbl 1410.76426 Comput. Fluids 169, 365-372 (2018). MSC: 76R50 76M20 65N06 46E35 PDF BibTeX XML Cite \textit{L. Gosse}, Comput. Fluids 169, 365--372 (2018; Zbl 1410.76426) Full Text: DOI
Hoang, Thi-Thao-Phuong; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition for advection-diffusion problems in mixed formulations. (English) Zbl 07313831 Math. Comput. Simul. 137, 366-389 (2017). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{T.-T.-P. Hoang} et al., Math. Comput. Simul. 137, 366--389 (2017; Zbl 07313831) Full Text: DOI arXiv
Gosse, Laurent Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion. (English) Zbl 1390.76839 Comput. Fluids 156, 58-65 (2017). MSC: 76R50 76M20 65N06 46E35 PDF BibTeX XML Cite \textit{L. Gosse}, Comput. Fluids 156, 58--65 (2017; Zbl 1390.76839) Full Text: DOI
Abdelbari, Mervan; Nachi, Khadra; Sokolowski, Jan Topological sensitivity analysis for a coupled nonlinear problem with an obstacle. (English) Zbl 1378.49045 Control Cybern. 46, No. 1, 5-25 (2017). MSC: 49Q10 PDF BibTeX XML Cite \textit{M. Abdelbari} et al., Control Cybern. 46, No. 1, 5--25 (2017; Zbl 1378.49045)
Lopes, Cinthia Gomes; Dos Santos, Renatha Batista; Novotny, Antonio André; Sokołowski, Jan Asymptotic analysis of variational inequalities with applications to optimum design in elasticity. (English) Zbl 1366.35187 Asymptotic Anal. 102, No. 3-4, 227-242 (2017). MSC: 35Q74 35B40 35B25 49Q10 74M15 74M10 65K15 74P15 35A16 PDF BibTeX XML Cite \textit{C. G. Lopes} et al., Asymptotic Anal. 102, No. 3--4, 227--242 (2017; Zbl 1366.35187) Full Text: DOI
Steinbach, Olaf; Wohlmuth, Barbara; Wunderlich, Linus Trace and flux a priori error estimates in finite-element approximations of Signorini-type problems. (Trace and flux a priori error estimates in finite-element approximations of Signorni-type problems.) (English) Zbl 1433.74109 IMA J. Numer. Anal. 36, No. 3, 1072-1095 (2016). MSC: 74S05 65N30 65N12 65N15 74M15 PDF BibTeX XML Cite \textit{O. Steinbach} et al., IMA J. Numer. Anal. 36, No. 3, 1072--1095 (2016; Zbl 1433.74109) Full Text: DOI arXiv
Zhang, Shougui; Li, Xiaolin Boundary augmented Lagrangian method for the Signorini problem. (English) Zbl 1389.35164 Appl. Math., Praha 61, No. 2, 215-231 (2016). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J58 35J05 65N38 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{X. Li}, Appl. Math., Praha 61, No. 2, 215--231 (2016; Zbl 1389.35164) Full Text: DOI Link
Amigo, R.; Giusti, S. M.; Novotny, A. A.; Silva, E. C. N.; SokoŁowski, J. Optimum design of flextensional piezoelectric actuators into two spatial dimensions. (English) Zbl 1382.74101 SIAM J. Control Optim. 54, No. 2, 760-789 (2016). MSC: 74P15 35Q74 35J40 74F15 35B25 49Q10 49Q12 74K20 PDF BibTeX XML Cite \textit{R. Amigo} et al., SIAM J. Control Optim. 54, No. 2, 760--789 (2016; Zbl 1382.74101) Full Text: DOI Link
Hoang, Thao-Phuong; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition for reduced fracture models in mixed formulation. (English) Zbl 1382.76164 SIAM J. Numer. Anal. 54, No. 1, 288-316 (2016). MSC: 76M10 65M60 35K20 65M50 65M55 74R10 76S05 PDF BibTeX XML Cite \textit{T.-P. Hoang} et al., SIAM J. Numer. Anal. 54, No. 1, 288--316 (2016; Zbl 1382.76164) Full Text: DOI
Arioli, Mario; Loghin, Daniel Spectral analysis of the anisotropic Steklov-Poincaré matrix. (English) Zbl 1327.65260 Linear Algebra Appl. 488, 168-183 (2016). MSC: 65N55 65F10 65F15 PDF BibTeX XML Cite \textit{M. Arioli} and \textit{D. Loghin}, Linear Algebra Appl. 488, 168--183 (2016; Zbl 1327.65260) Full Text: DOI
Zhang, Shougui; Li, Xiaolin Boundary augmented Lagrangian method for contact problems in linear elasticity. (English) Zbl 1403.74065 Eng. Anal. Bound. Elem. 61, 127-133 (2015). MSC: 74M15 65N38 74B05 PDF BibTeX XML Cite \textit{S. Zhang} and \textit{X. Li}, Eng. Anal. Bound. Elem. 61, 127--133 (2015; Zbl 1403.74065) Full Text: DOI
Belhachmi, Zakaria; Chill, Ralph Application of the \(j\)-subgradient in a problem of electropermeabilization. (English) Zbl 1516.35012 J. Elliptic Parabol. Equ. 1, No. 1, 13-29 (2015). MSC: 35A15 58J35 65N06 35Q92 PDF BibTeX XML Cite \textit{Z. Belhachmi} and \textit{R. Chill}, J. Elliptic Parabol. Equ. 1, No. 1, 13--29 (2015; Zbl 1516.35012) Full Text: DOI arXiv
Avdonin, Sergei; Abdon, Choque Rivero; Leugering, Günter; Mikhaylov, Victor On the inverse problem of the two-velocity tree-like graph. (English) Zbl 1335.35290 ZAMM, Z. Angew. Math. Mech. 95, No. 12, 1490-1500 (2015). MSC: 35R30 35R02 05C05 34B20 35L05 PDF BibTeX XML Cite \textit{S. Avdonin} et al., ZAMM, Z. Angew. Math. Mech. 95, No. 12, 1490--1500 (2015; Zbl 1335.35290) Full Text: DOI
Leugering, Günter; Sokołowski, Jan; Zochowski, Antoni Shape- and topology optimization for passive control of crack propagation. (English) Zbl 1329.74232 Pratelli, Aldo (ed.) et al., New trends in shape optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-17562-1/hbk; 978-3-319-17563-8/ebook). ISNM. International Series of Numerical Mathematics 166, 141-197 (2015). MSC: 74P10 49Q10 74Rxx 49J40 PDF BibTeX XML Cite \textit{G. Leugering} et al., ISNM, Int. Ser. Numer. Math. 166, 141--197 (2015; Zbl 1329.74232) Full Text: DOI
Giusti, S. M.; Sokołowski, J.; Stebel, J. On topological derivatives for contact problems in elasticity. (English) Zbl 1319.49072 J. Optim. Theory Appl. 165, No. 1, 279-294 (2015). MSC: 49Q12 49Q10 49J52 74M15 35J50 35Q93 35S05 41A60 PDF BibTeX XML Cite \textit{S. M. Giusti} et al., J. Optim. Theory Appl. 165, No. 1, 279--294 (2015; Zbl 1319.49072) Full Text: DOI
Nazarov, S. A.; Ruotsalainen, K. M. Criteria for trapped modes in a cranked channel with fixed and freely floating bodies. (English) Zbl 1333.35137 Z. Angew. Math. Phys. 65, No. 5, 977-1002 (2014). MSC: 35P25 76B15 35Q35 35J25 74F10 PDF BibTeX XML Cite \textit{S. A. Nazarov} and \textit{K. M. Ruotsalainen}, Z. Angew. Math. Phys. 65, No. 5, 977--1002 (2014; Zbl 1333.35137) Full Text: DOI
Jelassi, F.; Azaïez, M.; Palomo Del Barrio, E. A substructuring method for phase change modelling in hybrid media. (English) Zbl 1390.80009 Comput. Fluids 88, 81-92 (2013). MSC: 80A22 80M25 PDF BibTeX XML Cite \textit{F. Jelassi} et al., Comput. Fluids 88, 81--92 (2013; Zbl 1390.80009) Full Text: DOI
Abda, Amel Ben; Saad, Imen Ben; Hassine, Maatoug Recovering boundary data: the Cauchy Stokes system. (English) Zbl 1349.35420 Appl. Math. Modelling 37, No. 1-2, 1-12 (2013). MSC: 35R30 35Q35 65N21 PDF BibTeX XML Cite \textit{A. B. Abda} et al., Appl. Math. Modelling 37, No. 1--2, 1--12 (2013; Zbl 1349.35420) Full Text: DOI
Hoang, Thi-Thao-Phuong; Jaffré, Jérôme; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition methods for diffusion problems in mixed formulations. (English) Zbl 1295.65095 SIAM J. Numer. Anal. 51, No. 6, 3532-3559 (2013). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M55 35K20 65M60 65M50 65M12 65M20 PDF BibTeX XML Cite \textit{T.-T.-P. Hoang} et al., SIAM J. Numer. Anal. 51, No. 6, 3532--3559 (2013; Zbl 1295.65095) Full Text: DOI arXiv
Kowalewski, Adam; Lasiecka, Irena; Sokołowski, Jan Sensitivity analysis of hyperbolic optimal control problems. (English) Zbl 1262.49028 Comput. Optim. Appl. 52, No. 1, 147-179 (2012). Reviewer: Wiesław Kotarski (Sosnowiec) MSC: 49K40 49K20 35L20 35L05 PDF BibTeX XML Cite \textit{A. Kowalewski} et al., Comput. Optim. Appl. 52, No. 1, 147--179 (2012; Zbl 1262.49028) Full Text: DOI
Andjelic, Zoran; Of, Günther; Steinbach, Olaf; Urthaler, Peter Fast boundary element methods for industrial applications in magnetostatics. (English) Zbl 1250.78046 Langer, Ulrich (ed.) et al., Fast boundary element methods in engineering and industrial applications. Berlin: Springer (ISBN 978-3-642-25669-1/hbk; 978-3-642-25670-7/ebook). Lecture Notes in Applied and Computational Mechanics 63, 111-143 (2012). MSC: 78M15 78A30 65R20 PDF BibTeX XML Cite \textit{Z. Andjelic} et al., Lect. Notes Appl. Comput. Mech. 63, 111--143 (2012; Zbl 1250.78046) Full Text: DOI
Gläfke, Matthias; Maischak, Matthias; Stephan, Ernst P. Coupling of FEM and BEM for a transmission problem with nonlinear interface conditions. Hierarchical and residual error indicators. (English) Zbl 1237.65123 Appl. Numer. Math. 62, No. 6, 736-753 (2012). MSC: 65N30 65N38 PDF BibTeX XML Cite \textit{M. Gläfke} et al., Appl. Numer. Math. 62, No. 6, 736--753 (2012; Zbl 1237.65123) 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 PDF BibTeX XML Cite \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
Krebs, Andreas; Maischak, Matthias; Stephan, Ernst P. Adaptive FEM-BEM coupling with a Schur complement error indicator. (English) Zbl 1202.65155 Appl. Numer. Math. 60, No. 8, 798-808 (2010). Reviewer: Kai Schneider (Marseille) MSC: 65N30 65N38 35J65 65N15 PDF BibTeX XML Cite \textit{A. Krebs} et al., Appl. Numer. Math. 60, No. 8, 798--808 (2010; Zbl 1202.65155) Full Text: DOI
Ahusborde, E.; Azaiez, M.; Deville, M. O.; Mund, E. H. An iterative domain decomposition algorithm for the grad(div) operator. (English) Zbl 1364.65273 Commun. Comput. Phys. 5, No. 2-4, 391-397 (2009). MSC: 65N55 65N22 PDF BibTeX XML Cite \textit{E. Ahusborde} et al., Commun. Comput. Phys. 5, No. 2--4, 391--397 (2009; Zbl 1364.65273)
Ben Abda, Amel; Ben Saad, Imen; Hassine, Maatoug Data completion for the Stokes system. (English. Abridged French version) Zbl 1221.35292 C. R., Méc., Acad. Sci. Paris 337, No. 9-10, 703-708 (2009). MSC: 35Q35 35R30 49K20 76D55 PDF BibTeX XML Cite \textit{A. Ben Abda} et al., C. R., Méc., Acad. Sci. Paris 337, No. 9--10, 703--708 (2009; Zbl 1221.35292) 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 PDF BibTeX XML Cite \textit{B. Bialecki} and \textit{M. Dryja}, J. Numer. Math. 16, No. 2, 83--106 (2008; Zbl 1149.65093) Full Text: DOI
Nazarov, Sergueï A.; Specovius-Neugebauer, Maria Artificial boundary conditions for the Stokes and Navier-Stokes equations in domains that are layer-like at infinity. (English) Zbl 1144.35044 Z. Anal. Anwend. 27, No. 2, 125-155 (2008). Reviewer: Il’ya Sh. Mogilevskij (Tver’) MSC: 35Q30 76D05 35A35 PDF BibTeX XML Cite \textit{S. A. Nazarov} and \textit{M. Specovius-Neugebauer}, Z. Anal. Anwend. 27, No. 2, 125--155 (2008; Zbl 1144.35044) Full Text: DOI Link
Fernández, Miguel Ángel; Gerbeau, Jean-Frédéric; Gloria, Antoine; Vidrascu, Marina Domain decomposition based Newton methods for fluid-structure interaction problems. (English) Zbl 1133.74043 ESAIM, Proc. 22, 67-82 (2008). MSC: 74S05 74S30 74F10 65M55 PDF BibTeX XML Cite \textit{M. Á. Fernández} et al., ESAIM, Proc. 22, 67--82 (2008; Zbl 1133.74043) Full Text: DOI
Chernov, Alexey; Stephan, Ernst P. Adaptive BEM for contact problems with friction. (English) Zbl 1208.74172 Wriggers, Peter (ed.) et al., IUTAM symposium on computational methods in contact mechanics. Proceedings of the IUTAM symposium, Hannover, Germany, November 5–8, 2006. Dordrecht: Springer (ISBN 978-1-4020-6404-3/hbk). IUTAM Bookseries 3, 113-122 (2007). MSC: 74S15 74M15 74M10 PDF BibTeX XML Cite \textit{A. Chernov} and \textit{E. P. Stephan}, IUTAM Bookser. 3, 113--122 (2007; Zbl 1208.74172) Full Text: DOI
Ben Fatma, Riadh; Azaïez, Mejdi; Ben Abda, Amel; Gmati, Nabil Missing boundary data recovering for the Helmholtz problem. (English) Zbl 1134.65366 C. R., Méc., Acad. Sci. Paris 335, No. 12, 787-792 (2007). MSC: 65N21 35J05 35R30 65N30 65F10 65F35 PDF BibTeX XML Cite \textit{R. Ben Fatma} et al., C. R., Méc., Acad. Sci. Paris 335, No. 12, 787--792 (2007; Zbl 1134.65366) Full Text: DOI
Koko, Jonas Convergence analysis of optimization-based domain decomposition methods for a bonded structure. (English) Zbl 1131.65053 Appl. Numer. Math. 58, No. 1, 69-87 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65K10 49J20 49M27 74B05 PDF BibTeX XML Cite \textit{J. Koko}, Appl. Numer. Math. 58, No. 1, 69--87 (2007; Zbl 1131.65053) Full Text: DOI
Ben Belgacem, Faker Why is the Cauchy problem severely ill-posed? (English) Zbl 1118.35060 Inverse Probl. 23, No. 2, 823-836 (2007). Reviewer: Elena V. Tabarintseva (Chelyabinsk) MSC: 35R25 35J25 PDF BibTeX XML Cite \textit{F. Ben Belgacem}, Inverse Probl. 23, No. 2, 823--836 (2007; Zbl 1118.35060) Full Text: DOI
Bertoluzza, Silvia Local boundary estimates for the Lagrange multiplier discretization of a Dirichlet boundary value problem with application to domain decomposition. (English) Zbl 1168.65421 Calcolo 43, No. 3, 121-149 (2006). MSC: 65N55 65N30 PDF BibTeX XML Cite \textit{S. Bertoluzza}, Calcolo 43, No. 3, 121--149 (2006; Zbl 1168.65421) Full Text: DOI
Fujita, Hiroshi; Saito, Norikazu Shape-dependence of convergence rates in DDM. (English) Zbl 1100.65111 Magoulés, Frédéric (ed.) et al., Domain decomposition methods: theory and application. Tokyo: Gakkotosho (ISBN 4-7625-0434-3/hbk). GAKUTO International Series. Mathematical Sciences and Applications 25, 241-271 (2006). MSC: 65N55 65N12 65N15 65N30 35J05 65F10 PDF BibTeX XML Cite \textit{H. Fujita} and \textit{N. Saito}, GAKUTO Int. Ser., Math. Sci. Appl. 25, 241--271 (2006; Zbl 1100.65111)
Maischak, Matthias; Stephan, Ernst P. Adaptive \(hp\)-versions of BEM for Signorini problems. (English) Zbl 1114.74062 Appl. Numer. Math. 54, No. 3-4, 425-449 (2005). MSC: 74S15 65N38 74M15 PDF BibTeX XML Cite \textit{M. Maischak} and \textit{E. P. Stephan}, Appl. Numer. Math. 54, No. 3--4, 425--449 (2005; Zbl 1114.74062) Full Text: DOI
Yu, Dehao; Zhao, Longhua Natural boundary integral method and related numerical methods. (English) Zbl 1074.65143 Eng. Anal. Bound. Elem. 28, No. 8, 937-944 (2004). MSC: 65N38 65N55 35J05 PDF BibTeX XML Cite \textit{D. Yu} and \textit{L. Zhao}, Eng. Anal. Bound. Elem. 28, No. 8, 937--944 (2004; Zbl 1074.65143) Full Text: DOI
Magoulès, Frédéric; Roux, François-Xavier; Salmon, Stéphanie Optimal discrete transmission conditions for a nonoverlapping domain decomposition method for the Helmholtz equation. (English) Zbl 1086.65118 SIAM J. Sci. Comput. 25, No. 5, 1497-1515 (2004). Reviewer: Hans Engler (Bonn) MSC: 65N55 65N30 35J05 65N12 65F10 PDF BibTeX XML Cite \textit{F. Magoulès} et al., SIAM J. Sci. Comput. 25, No. 5, 1497--1515 (2004; Zbl 1086.65118) Full Text: DOI
Bertoluzza, Silvia Substructuring preconditioners for the three fields domain decomposition method. (English) Zbl 1042.65099 Math. Comput. 73, No. 246, 659-689 (2004). Reviewer: J. Lovíšek (Bratislava) MSC: 65N55 65F35 65F10 35S15 PDF BibTeX XML Cite \textit{S. Bertoluzza}, Math. Comput. 73, No. 246, 659--689 (2004; Zbl 1042.65099) Full Text: DOI
Bialecki, Bernard; Dryja, Maksymilian A nonoverlapping domain decomposition method for orthogonal spline collocation problems. (English) Zbl 1055.65139 SIAM J. Numer. Anal. 41, No. 5, 1709-1728 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65N35 65N12 65N15 35J05 65T50 65F35 65F10 PDF BibTeX XML Cite \textit{B. Bialecki} and \textit{M. Dryja}, SIAM J. Numer. Anal. 41, No. 5, 1709--1728 (2003; Zbl 1055.65139) Full Text: DOI
Melnik, Roderick V. N. Deterministic and stochastic dynamics with hyperbolic HJB-type equations. (English) Zbl 1033.35012 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 10, No. 1-3, 317-330 (2003). MSC: 35B37 35L10 49L20 65C50 35R60 PDF BibTeX XML Cite \textit{R. V. N. Melnik}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 10, No. 1--3, 317--330 (2003; Zbl 1033.35012)
Bertoluzza, Silvia Analysis of a stabilized three-fields domain decomposition method. (English) Zbl 1028.65132 Numer. Math. 93, No. 4, 611-634 (2003). Reviewer: Xavier Antoine (Toulouse) MSC: 65N55 65N30 65N12 35J25 PDF BibTeX XML Cite \textit{S. Bertoluzza}, Numer. Math. 93, No. 4, 611--634 (2003; Zbl 1028.65132) Full Text: DOI
Steinbach, Olaf Stability estimates for hybrid coupled domain decomposition methods. (English) Zbl 1029.65122 Lecture Notes in Mathematics. 1809. Berlin: Springer. vi, 120 p. (2003). Reviewer: Ulrich Langer (Linz) MSC: 65N12 65-02 35J25 65F10 65N55 65N30 65N38 PDF BibTeX XML Cite \textit{O. Steinbach}, Stability estimates for hybrid coupled domain decomposition methods. Berlin: Springer (2003; Zbl 1029.65122) Full Text: DOI
D’Elía, J.; Storti, M. A.; Oñate, E.; Idelsohn, S. R. A Lagrangian panel method in the time domain for moving free-surface potential flows. (English) Zbl 1026.76038 Int. J. Comput. Fluid Dyn. 16, No. 4, 263-275 (2002). MSC: 76M25 76M20 76B07 76B10 PDF BibTeX XML Cite \textit{J. D'Elía} et al., Int. J. Comput. Fluid Dyn. 16, No. 4, 263--275 (2002; Zbl 1026.76038) Full Text: DOI Link
Yu, De-hao Natural boundary integral method and its applications. Translated from the 1993 Chinese original. (English) Zbl 1028.65129 Mathematics and its Applications (Dordrecht). 539. Dordrecht: Kluwer Academic Publishers. Beijing: Science Press. xviii, 539 p. (2002). Reviewer: Emil Minchev (Chiba) MSC: 65N38 65-02 35J05 35J40 35Q30 31B30 65N12 65N15 74B05 74S15 PDF BibTeX XML Cite \textit{D.-h. Yu}, Natural boundary integral method and its applications. Translated from the 1993 Chinese original. Dordrecht: Kluwer Academic Publishers; Beijing: Science Press (2002; Zbl 1028.65129)
Guediri, Hocine Characterization of the coincidence set for mixed Signorini problems. (English) Zbl 1031.35010 Appl. Anal. 77, No. 3-4, 327-341 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 35B05 35C15 35J85 65R20 PDF BibTeX XML Cite \textit{H. Guediri}, Appl. Anal. 77, No. 3--4, 327--341 (2001; Zbl 1031.35010) Full Text: DOI
Ganesh, M.; Steinbach, O. Boundary element methods for potential problems with nonlinear boundary conditions. (English) Zbl 0971.65107 Math. Comput. 70, No. 235, 1031-1042 (2001). MSC: 65N38 65H10 65F35 35J65 65N15 PDF BibTeX XML Cite \textit{M. Ganesh} and \textit{O. Steinbach}, Math. Comput. 70, No. 235, 1031--1042 (2001; Zbl 0971.65107) Full Text: DOI
Bach, M.; Eck, C.; Schulz, M. On the treatment of contact problems in elasto-plasticity. (English) Zbl 0985.74048 Sändig, A.-M. (ed.) et al., Multifield problems. State of the art. Berlin: Springer. 229-236 (2000). MSC: 74M15 74M10 74S15 74C05 PDF BibTeX XML Cite \textit{M. Bach} et al., in: Multified problems. State of the art. Berlin: Springer. 229--236 (2000; Zbl 0985.74048)
Hsiao, G. C.; Schnack, E.; Wendland, W. L. Hybrid coupled finite-boundary element methods for elliptic systems of second order. (English) Zbl 0973.65110 Comput. Methods Appl. Mech. Eng. 190, No. 5-7, 431-485 (2000). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 35J55 65N12 74S05 65N30 65N15 74S15 74B05 PDF BibTeX XML Cite \textit{G. C. Hsiao} et al., Comput. Methods Appl. Mech. Eng. 190, No. 5--7, 431--485 (2000; Zbl 0973.65110) Full Text: DOI
Steinbach, O. Mixed approximations for boundary elements. (English) Zbl 0977.65107 SIAM J. Numer. Anal. 38, No. 2, 401-413 (2000). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N38 35J25 65N12 65N50 PDF BibTeX XML Cite \textit{O. Steinbach}, SIAM J. Numer. Anal. 38, No. 2, 401--413 (2000; Zbl 0977.65107) Full Text: DOI
Steinbach, Olaf On a hybrid boundary element method. (English) Zbl 0945.65128 Numer. Math. 84, No. 4, 679-695 (2000). Reviewer: C.I.Gheorghiu (Cluj-Napoca) MSC: 65N38 65N12 65F10 65F35 65N15 35J25 PDF BibTeX XML Cite \textit{O. Steinbach}, Numer. Math. 84, No. 4, 679--695 (2000; Zbl 0945.65128) Full Text: DOI
Steinbach, O. Stable boundary element approximations of Steklov-Poincaré operators. (English) Zbl 0937.65129 Bonnet, M. (ed.) et al., Mathematical aspects of boundary element methods. Minisymposium during the IABEM 98 conference, dedicated to Vladimir Maz’ya on the occasion of his 60th birthday on 31st December 1997, Paris, France, 1998. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 414, 296-305 (2000). MSC: 65N38 35J25 65N12 PDF BibTeX XML Cite \textit{O. Steinbach}, Chapman Hall/CRC Res. Notes Math. 414, 296--305 (2000; Zbl 0937.65129)
Nicaise, Serge; Sändig, Anna-Margarete Transmission problems for the Laplace and elasticity operators: Regularity and boundary integral formulation. (English) Zbl 0958.35023 Math. Models Methods Appl. Sci. 9, No. 6, 855-898 (1999). MSC: 35J05 35R05 35J25 74B05 74G70 PDF BibTeX XML Cite \textit{S. Nicaise} and \textit{A.-M. Sändig}, Math. Models Methods Appl. Sci. 9, No. 6, 855--898 (1999; Zbl 0958.35023) Full Text: DOI
Hsiao, George C.; Schnack, Eckart; Wendland, Wolfgang L. Hybrid methods for boundary value problems via boundary energy. (English) Zbl 0938.65141 Rossmann, Jürgen (ed.) et al., The Maz’ya anniversary collection. Vol. 2: Rostock conference on functional analysis, partial differential equations and applications, Rostock, Germany, August 31-September 4, 1998. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 110, 165-184 (1999). MSC: 65N38 74R10 74S05 74S15 65N30 35J25 PDF BibTeX XML Cite \textit{G. C. Hsiao} et al., in: The Maz'ya anniversary collection. Vol. 2: Rostock conference on functional analysis, partial differential equations and applications, Rostock, Germany, August 31--September 4, 1998. Basel: Birkhäuser. 165--184 (1999; Zbl 0938.65141)
Fdez-Manín, G.; Muñoz-Sola, R. Error estimates for the patching method in the bidimensional case. (English) Zbl 0935.65122 Numer. Math. 82, No. 4, 621-634 (1999). Reviewer: W.Heinrichs (Essen) MSC: 65N35 65N15 35J05 PDF BibTeX XML Cite \textit{G. Fdez-Manín} and \textit{R. Muñoz-Sola}, Numer. Math. 82, No. 4, 621--634 (1999; Zbl 0935.65122) Full Text: DOI
Eck, C.; Steinbach, O.; Wendland, W. L. A symmetric boundary element method for contact problems with friction. (English) Zbl 1027.65162 Math. Comput. Simul. 50, No. 1-4, 43-61 (1999). MSC: 65N38 74S15 35J25 74M10 74M15 PDF BibTeX XML Cite \textit{C. Eck} et al., Math. Comput. Simul. 50, No. 1--4, 43--61 (1999; Zbl 1027.65162) Full Text: DOI
Jentsch, Lothar; Natroshvili, David Nonlocal approach in mathematical problems of fluid-structure interaction. (English) Zbl 0959.35138 Math. Methods Appl. Sci. 22, No. 1, 13-42 (1999). MSC: 35Q35 31B10 74F10 76Q05 35J05 35J55 PDF BibTeX XML Cite \textit{L. Jentsch} and \textit{D. Natroshvili}, Math. Methods Appl. Sci. 22, No. 1, 13--42 (1999; Zbl 0959.35138) Full Text: DOI
Gatica, G. N.; Hernandez, E. C.; Mellado, M. E. A domain decomposition method for linear exterior boundary value problems. (English) Zbl 0940.65132 Appl. Math. Lett. 11, No. 6, 1-9 (1998). MSC: 65N38 65N55 65F10 65F35 65N30 35J05 65Y05 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., Appl. Math. Lett. 11, No. 6, 1--9 (1998; Zbl 0940.65132) Full Text: DOI
Steinbach, O. Parallel iterative solution of boundary element equations in 3D. (English) Zbl 0902.65063 Bach, Michael (ed.) et al., Analysis, numerics and applications of differential and integral equations. Dedication to Wolfgang L. Wendland on the occasion of his 60th birthday. Harlow: Addison Wesley Longman. Pitman Res. Notes Math. Ser. 379, 219-223 (1998). MSC: 65N38 65Y05 35J25 PDF BibTeX XML Cite \textit{O. Steinbach}, Pitman Res. Notes Math. Ser. 379, 219--223 (1998; Zbl 0902.65063)
Leugering, G. On dynamic domain decomposition of controlled networks of elastic strings and joint-masses. (English) Zbl 0908.93034 Desch, W. (ed.) et al., Control and estimation of distributed parameter systems. International conference in Vorau, Austria, July 14–20, 1996. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 126, 191-205 (1998). Reviewer: J.Lovíšek (Bratislava) MSC: 93C20 93C80 93B05 PDF BibTeX XML Cite \textit{G. Leugering}, ISNM, Int. Ser. Numer. Math. 126, 191--205 (1998; Zbl 0908.93034)
Fujita, Hiroshi Remarks on the domain-dependence of convergence rate of iterations in a certain domain decomposition method. Analysis by the Steklov-Poincaré operator. (English) Zbl 1017.65097 Li, Ta-Tsien (ed.), Collection of papers on geometry, analysis and mathematical physics. In honor of Professor Gu Chaohao. Singapore: World Scientific Publishing. 71-84 (1997). MSC: 65N55 65N12 35J05 65F35 65N15 65F10 PDF BibTeX XML Cite \textit{H. Fujita}, in: Collection of papers on geometry, analysis and mathematical physics. In honor of Professor Gu Chaohao. Singapore: World Scientific Publishing. 71--84 (1997; Zbl 1017.65097)
Natarajan, Ramesh Domain decomposition using spectral expansions of Steklov-Poincaré operators. II: A matrix formulation. (English) Zbl 0912.65097 SIAM J. Sci. Comput. 18, No. 4, 1187-1199 (1997). MSC: 65N55 65F10 65Y05 35J05 65N25 65N30 PDF BibTeX XML Cite \textit{R. Natarajan}, SIAM J. Sci. Comput. 18, No. 4, 1187--1199 (1997; Zbl 0912.65097) Full Text: DOI
Steinbach, Olaf; Wendland, Wolfgang L. Domain decomposition and preconditioning techniques in boundary element methods. (English) Zbl 0884.65113 Wendland, Wolfgang L. (ed.), Boundary element topics. Proceedings of the final conference of the priority research programme Boundary element methods 1989-1995 of the German Research Foundation, October 2–4, 1995 in Stuttgart, Germany. Berlin: Springer. 471-490 (1997). MSC: 65N38 65N55 65F35 35J25 65F10 PDF BibTeX XML Cite \textit{O. Steinbach} and \textit{W. L. Wendland}, in: Boundary element topics. Proceedings of the final conference of the priority research programme Boundary element methods 1989-1995 of the German Research Foundation, October 2--4, 1995 in Stuttgart, Germany. Berlin: Springer. 471--490 (1997; Zbl 0884.65113)
Khoromskij, Boris N. On fast computations with the inverse to harmonic potential operators via domain decomposition. (English) Zbl 0854.65107 Numer. Linear Algebra Appl. 3, No. 2, 91-111 (1996). Reviewer: A.Pomp (Stuttgart) MSC: 65N38 35J05 65Y05 65N55 65Y20 PDF BibTeX XML Cite \textit{B. N. Khoromskij}, Numer. Linear Algebra Appl. 3, No. 2, 91--111 (1996; Zbl 0854.65107) Full Text: DOI
Alonso, A.; Valli, A. A new approach to the coupling of viscous and inviscid Stokes equations. (English) Zbl 0824.76022 East-West J. Numer. Math. 3, No. 1, 29-41 (1995). MSC: 76D07 76M25 65N55 PDF BibTeX XML Cite \textit{A. Alonso} and \textit{A. Valli}, East-West J. Numer. Math. 3, No. 1, 29--41 (1995; Zbl 0824.76022)
Natarajan, Ramesh Domain decomposition using spectral expansions of Steklov-Poincaré operators. (English) Zbl 0822.65101 SIAM J. Sci. Comput. 16, No. 2, 470-495 (1995). Reviewer: K.Georgiev (Sofia) MSC: 65N55 65N25 65N30 65F10 65Y05 35J05 PDF BibTeX XML Cite \textit{R. Natarajan}, SIAM J. Sci. Comput. 16, No. 2, 470--495 (1995; Zbl 0822.65101) Full Text: DOI
Steinbach, O. Parallel iterative solvers for symmetric boundary element domain decomposition methods. (English) Zbl 0874.65090 Hackbusch, Wolfgang (ed.) et al., Fast solvers for flow problems. Proceedings of the tenth GAMM-Seminar Kiel, Germany, January 14–16, 1994. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 49, 263-272 (1995). MSC: 65N38 65N55 65N30 65F10 35J25 65Y05 65F35 PDF BibTeX XML Cite \textit{O. Steinbach}, Notes Numer. Fluid Mech. 49, 263--272 (1995; Zbl 0874.65090)
de la Bourdonnaye, Armel Decomposition of \(H_{div}^{-1/2}(\Gamma )\) and nature of Steklov-Poincaré operator of exterior electromagnetism problem. (Décomposition de \(H_{div}^{-1/2}(\Gamma )\) et nature de l’opérateur de Steklov-Poincaré du problème extérieur de l’électromagnétisme.) (French) Zbl 0767.35094 C. R. Acad. Sci., Paris, Sér. I 316, No. 4, 369-372 (1993). MSC: 35Q60 78A45 31A10 PDF BibTeX XML Cite \textit{A. de la Bourdonnaye}, C. R. Acad. Sci., Paris, Sér. I 316, No. 4, 369--372 (1993; Zbl 0767.35094)
Sonke, L. Analysis of domain decomposition for non symmetric problems: Application to the Navier-Stokes equations. (English) Zbl 0739.76056 RAIRO, Modélisation Math. Anal. Numér. 26, No. 2, 289-307 (1992). MSC: 76M25 76D05 65N55 PDF BibTeX XML Cite \textit{L. Sonke}, RAIRO, Modélisation Math. Anal. Numér. 26, No. 2, 289--307 (1992; Zbl 0739.76056) Full Text: DOI EuDML
Thomas, J.-M. Décomposition de domaines et éléments finis. Quelques méthodes de décomposition de domaines sans recouvrement. (Domain decomposition and finite elements. Methods of domain decomposition without reunion). (French) Zbl 0751.73061 Applied mathematics for engineering sciences, Proc. 2nd Fr.-Chil. Symp., Santiago de Chile/Chile 1989, 395-410 (1991). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{J. M. Thomas}, in: Applied mathematics for engineering sciences. 2nd French-Chilean symposium of applied mathematics, held in Santiago de Chile, 4-8 December 1989. Mathématiques appliquées aux sciences de l'ingenieur. 2e colloque franco-chilien de mathématiques appliquées, Santiago du Chili, du 4 au 8 décembre 1989. Toulouse: Cépaduès-Éditions. 395--410 (1991; Zbl 0751.73061)
Hsiao, George C.; Wendland, Wolfgang L. Domain decomposition in boundary element methods. (English) Zbl 0766.65094 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 41-49 (1991). MSC: 65N38 65N30 65N55 65N12 35J25 PDF BibTeX XML Cite \textit{G. C. Hsiao} and \textit{W. L. Wendland}, in: Fourth international symposium on domain decomposition methods for partial differential equations. Proceedings of the symposium, held at Moscow, Russia, in May 21-25, 1990. Philadelphia, PA: SIAM. 41--49 (1991; Zbl 0766.65094)
Bourgat, J. F.; Glowinski, Roland; Le Tallec, Patrick; Vidrascu, Marina Variational formulation and algorithm for trace operator in domain decomposition calculations. (English) Zbl 0684.65094 Domain decomposition methods, Proc. 2nd Int. Symp., Los Angeles/Calif. 1988, 3-16 (1989). Reviewer: J.Weisel MSC: 65N30 35J25 PDF BibTeX XML