Palta, Birce; Oh, Hae-Soo Numerical solutions of biharmonic equations on non-convex polygonal domains. (English) Zbl 07241290 J. Comput. Appl. Math. 381, Article ID 113022, 20 p. (2021). MSC: 65 58 PDF BibTeX XML Cite \textit{B. Palta} and \textit{H.-S. Oh}, J. Comput. Appl. Math. 381, Article ID 113022, 20 p. (2021; Zbl 07241290) Full Text: DOI
Steinstraesser, Joao Guilherme Caldas; Kemlin, Gaspard; Rousseau, Antoine A domain decomposition method for linearized Boussinesq-type equations. (English) Zbl 1449.65237 J. Math. Study 52, No. 3, 320-340 (2019). MSC: 65M55 65M06 35Q35 PDF BibTeX XML Cite \textit{J. G. C. Steinstraesser} et al., J. Math. Study 52, No. 3, 320--340 (2019; Zbl 1449.65237) Full Text: DOI
Mota, Alejandro; Tezaur, Irina; Alleman, Coleman Corrigendum to “The Schwarz alternating method in solid mechanics”. (English) Zbl 1440.74429 Comput. Methods Appl. Mech. Eng. 344, 1147-1148 (2019). MSC: 74S05 65N55 65N30 74A20 PDF BibTeX XML Cite \textit{A. Mota} et al., Comput. Methods Appl. Mech. Eng. 344, 1147--1148 (2019; Zbl 1440.74429) Full Text: DOI
Axelsson, Owe; Gustafsson, Ivar A coarse-fine-mesh stabilization for an alternating Schwarz domain decomposition method. (English) Zbl 07088862 Numer. Linear Algebra Appl. 26, No. 3, e2236, 19 p. (2019). Reviewer: Ivana Pultarová (Praha) MSC: 65N55 65F10 65F08 PDF BibTeX XML Cite \textit{O. Axelsson} and \textit{I. Gustafsson}, Numer. Linear Algebra Appl. 26, No. 3, e2236, 19 p. (2019; Zbl 07088862) Full Text: DOI
Mota, Alejandro; Tezaur, Irina; Alleman, Coleman The Schwarz alternating method in solid mechanics. (English) Zbl 1439.74450 Comput. Methods Appl. Mech. Eng. 319, 19-51 (2017); corrigendum ibid. 344, 1147-1148 (2019). MSC: 74S05 65N55 65N30 74A20 PDF BibTeX XML Cite \textit{A. Mota} et al., Comput. Methods Appl. Mech. Eng. 319, 19--51 (2017; Zbl 1439.74450) Full Text: DOI
Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric An adaptive coarse space for P. L. Lions algorithm and optimized Schwarz methods. (English) Zbl 1369.65162 Lee, Chang-Ock (ed.) et al., Domain decomposition methods in science and engineering XXIII. Proceedings of the 23rd international conference, Jeju Island, Korea, July 6–10, 2015. Cham: Springer (ISBN 978-3-319-52388-0/hbk; 978-3-319-52389-7/ebook). Lecture Notes in Computational Science and Engineering 116, 43-53 (2017). MSC: 65N55 65N30 35J25 65N12 PDF BibTeX XML Cite \textit{R. Haferssas} et al., Lect. Notes Comput. Sci. Eng. 116, 43--53 (2017; Zbl 1369.65162) Full Text: DOI
Blayo, Eric; Rousseau, Antoine About interface conditions for coupling hydrostatic and nonhydrostatic Navier-Stokes flows. (English) Zbl 1388.76048 Discrete Contin. Dyn. Syst., Ser. S 9, No. 5, 1565-1574 (2016). MSC: 76D05 76M25 35Q30 65M55 86A05 PDF BibTeX XML Cite \textit{E. Blayo} and \textit{A. Rousseau}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 5, 1565--1574 (2016; Zbl 1388.76048) Full Text: DOI
Kim, Sang-Bae Two-layer multi-parameterized Schwarz alternating method for 3D-problem. (English) Zbl 1349.65677 J. Appl. Math. Inform. 34, No. 5-6, 383-395 (2016). MSC: 65N55 65N12 65F10 PDF BibTeX XML Cite \textit{S.-B. Kim}, J. Appl. Math. Inform. 34, No. 5--6, 383--395 (2016; Zbl 1349.65677) Full Text: DOI
Blayo, Eric; Cherel, David; Rousseau, Antoine Towards optimized Schwarz methods for the Navier-Stokes equations. (English) Zbl 1381.76254 J. Sci. Comput. 66, No. 1, 275-295 (2016). MSC: 76M25 65M55 76D05 PDF BibTeX XML Cite \textit{E. Blayo} et al., J. Sci. Comput. 66, No. 1, 275--295 (2016; Zbl 1381.76254) Full Text: DOI
Galanin, M. P.; Lukin, V. V.; Rodin, A. S.; Stankevich, I. V. Application of the Schwarz alternating method for simulating the contact interaction of a system of bodies. (English. Russian original) Zbl 1329.74217 Comput. Math. Math. Phys. 55, No. 8, 1393-1406 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 8, 1429-1443 (2015). MSC: 74M15 74S05 65M55 65M60 PDF BibTeX XML Cite \textit{M. P. Galanin} et al., Comput. Math. Math. Phys. 55, No. 8, 1393--1406 (2015; Zbl 1329.74217); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 8, 1429--1443 (2015) Full Text: DOI
Kim, Sang-Bae Multi-parameterized Schwarz alternating method for 3D-problem. (English) Zbl 1316.65110 J. Appl. Math. Inform. 33, No. 1-2, 33-44 (2015). MSC: 65N55 35J25 65F10 65N06 65N12 PDF BibTeX XML Cite \textit{S.-B. Kim}, J. Appl. Math. Inform. 33, No. 1--2, 33--44 (2015; Zbl 1316.65110) Full Text: DOI
Gander, Martin J.; Wanner, Gerhard The origins of the alternating Schwarz method. (English) Zbl 1382.65441 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, 487-495 (2014). MSC: 65N55 65-03 01A45 35J05 PDF BibTeX XML Cite \textit{M. J. Gander} and \textit{G. Wanner}, Lect. Notes Comput. Sci. Eng. 98, 487--495 (2014; Zbl 1382.65441) Full Text: DOI
Boulbrachene, Messaoud; Al Farei, Qais Maximum norm error analysis of a nonmatching grids finite element method for linear elliptic PDEs. (English) Zbl 1337.65147 Appl. Math. Comput. 238, 21-29 (2014). MSC: 65N30 65N55 65N15 35J25 PDF BibTeX XML Cite \textit{M. Boulbrachene} and \textit{Q. Al Farei}, Appl. Math. Comput. 238, 21--29 (2014; Zbl 1337.65147) Full Text: DOI
Thirunavukkarasu, Senganal; Guddati, Murthy N. A domain decomposition method for concurrent coupling of multiscale models. (English) Zbl 1352.65327 Int. J. Numer. Methods Eng. 92, No. 11, 918-939 (2012). MSC: 65M55 PDF BibTeX XML Cite \textit{S. Thirunavukkarasu} and \textit{M. N. Guddati}, Int. J. Numer. Methods Eng. 92, No. 11, 918--939 (2012; Zbl 1352.65327) Full Text: DOI
Kim, Sang-Bae Two-layer multi-parameterized Schwarz alternating method for two-dimensional problems. (English) Zbl 1297.65191 J. Appl. Math. Inform. 30, No. 3-4, 477-488 (2012). MSC: 65N55 65F10 PDF BibTeX XML Cite \textit{S.-B. Kim}, J. Appl. Math. Inform. 30, No. 3--4, 477--488 (2012; Zbl 1297.65191) Full Text: Link
Kim, Sang-Bae Two-dimensional multi-parameterized Schwarz alternating method. (English) Zbl 1323.65120 J. Appl. Math. Inform. 29, No. 1-2, 161-171 (2011). MSC: 65N55 65N35 PDF BibTeX XML Cite \textit{S.-B. Kim}, J. Appl. Math. Inform. 29, No. 1--2, 161--171 (2011; Zbl 1323.65120)
Chang, Huibin; Yang, Danping A Schwarz domain decomposition method with gradient projection for optimal control governed by elliptic partial differential equations. (English) Zbl 1226.65060 J. Comput. Appl. Math. 235, No. 17, 5078-5094 (2011). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K10 49M27 PDF BibTeX XML Cite \textit{H. Chang} and \textit{D. Yang}, J. Comput. Appl. Math. 235, No. 17, 5078--5094 (2011; Zbl 1226.65060) Full Text: DOI
Zheng, Quan; Zhao, Peng An overlapping domain decomposition method for exterior Stokes problems. (Chinese. English summary) Zbl 1240.76027 J. Numer. Methods Comput. Appl. 31, No. 4, 271-278 (2010). MSC: 76M10 76D05 65N55 PDF BibTeX XML Cite \textit{Q. Zheng} and \textit{P. Zhao}, J. Numer. Methods Comput. Appl. 31, No. 4, 271--278 (2010; Zbl 1240.76027)
Bacuta, Constantin; Sun, Jiguang Notes on the Schwarz alternating method for partition of unity FEM. (English) Zbl 1181.65134 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, Suppl., 15-21 (2009). Reviewer: Norikazu Saito (Tokyo) MSC: 65N30 65N55 65F10 65F35 65J05 PDF BibTeX XML Cite \textit{C. Bacuta} and \textit{J. Sun}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, 15--21 (2009; Zbl 1181.65134)
Chau, M.; Tauber, C.; Spiteri, P. Parallel Schwarz alternating methods for anisotropic diffusion of speckled medical images. (English) Zbl 1170.65077 Numer. Algorithms 51, No. 1, 85-114 (2009). Reviewer: Srinivasan Natesan (Assam) MSC: 65M55 65Y05 65M12 35K55 65F10 92C55 PDF BibTeX XML Cite \textit{M. Chau} et al., Numer. Algorithms 51, No. 1, 85--114 (2009; Zbl 1170.65077) Full Text: DOI
Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B. Connecting atomistic-to-continuum coupling and domain decomposition. (English) Zbl 1160.65343 Multiscale Model. Simul. 7, No. 1, 362-380 (2008). MSC: 65N30 65N55 65F10 35J25 65N12 65N15 PDF BibTeX XML Cite \textit{M. L. Parks} et al., Multiscale Model. Simul. 7, No. 1, 362--380 (2008; Zbl 1160.65343) Full Text: DOI
Nepomnyaschikh, Sergey Domain decomposition methods. (English) Zbl 1132.65111 Kraus, Johannes (ed.) et al., Lectures on advanced computational methods in mechanics. Collection of lectures delivered during the special semester on computational mechanics, Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria, October 3 – December 16, 2005. Berlin: Walter de Gruyter (ISBN 978-3-11-019556-9/hbk). Radon Series on Computational and Applied Mathematics 1, 89-159 (2007). MSC: 65N55 65N30 35J25 65F35 65F10 PDF BibTeX XML Cite \textit{S. Nepomnyaschikh}, Radon Ser. Comput. Appl. Math. 1, 89--159 (2007; Zbl 1132.65111)
Volkov, E. A.; Dosiyev, A. A. A high accurate composite grid method for solving Laplace’s boundary value problems with singularities. (English) Zbl 1135.65040 Russ. J. Numer. Anal. Math. Model. 22, No. 3, 291-307 (2007). Reviewer: Georg Hebermehl (Berlin) MSC: 65N06 65N15 35J05 65F10 65N55 PDF BibTeX XML Cite \textit{E. A. Volkov} and \textit{A. A. Dosiyev}, Russ. J. Numer. Anal. Math. Model. 22, No. 3, 291--307 (2007; Zbl 1135.65040) Full Text: DOI
Klapper, I.; Shaw, T. A large jump asymptotic framework for solving elliptic and parabolic equations with interfaces and strong coefficient discontinuities. (English) Zbl 1115.65101 Appl. Numer. Math. 57, No. 5-7, 657-671 (2007). MSC: 65M60 PDF BibTeX XML Cite \textit{I. Klapper} and \textit{T. Shaw}, Appl. Numer. Math. 57, No. 5--7, 657--671 (2007; Zbl 1115.65101) Full Text: DOI
Schwandt, Hartmut Parallel interval Newton-like Schwarz methods for almost linear parabolic problems. (English) Zbl 1110.65092 J. Comput. Appl. Math. 199, No. 2, 437-444 (2007). Reviewer: Srinivasan Natesan (Assam) MSC: 65M55 65M06 65G40 35K55 65H10 65Y05 PDF BibTeX XML Cite \textit{H. Schwandt}, J. Comput. Appl. Math. 199, No. 2, 437--444 (2007; Zbl 1110.65092) 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 PDF BibTeX XML Cite \textit{I. Boglaev}, J. Numer. Math. 14, No. 4, 247--266 (2006; Zbl 1125.65078) Full Text: DOI
Tromeur-Dervout, Damien Aitken-Schwarz method: acceleration of the convergence of the Schwarz method. (English) Zbl 1100.65113 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, 37-64 (2006). MSC: 65N55 35J40 35J25 65N12 65N30 65F10 65N15 65Y05 PDF BibTeX XML Cite \textit{D. Tromeur-Dervout}, GAKUTO Int. Ser., Math. Sci. Appl. 25, 37--64 (2006; Zbl 1100.65113)
Boglaev, Igor A block monotone domain decomposition algorithm for a nonlinear singularly perturbed parabolic problem. (English) Zbl 1099.65083 Int. J. Numer. Anal. Model. 3, No. 2, 211-231 (2006). Reviewer: Natesan Srinivasan (Assam) MSC: 65M55 65M06 35K57 35B25 65M12 PDF BibTeX XML Cite \textit{I. Boglaev}, Int. J. Numer. Anal. Model. 3, No. 2, 211--231 (2006; Zbl 1099.65083)
Boglaev, Igor; Hardy, Matthew Monotone finite difference domain decomposition algorithms and applications to nonlinear singularly perturbed reaction-diffusion problems. (English) Zbl 1133.65059 Adv. Difference Equ. 2006, Article ID 70325, 38 p. (2006). MSC: 65M06 35K57 35J65 65N06 35B25 65M55 65N55 65M12 65N12 PDF BibTeX XML Cite \textit{I. Boglaev} and \textit{M. Hardy}, Adv. Difference Equ. 2006, Article ID 70325, 38 p. (2006; Zbl 1133.65059) Full Text: DOI EuDML
Boglaev, Igor Monotone Schwarz iterates for a semilinear parabolic convection–diffusion problem. (English) Zbl 1075.65110 J. Comput. Appl. Math. 183, No. 1, 191-209 (2005). Reviewer: Emil Minchev (Tokyo) MSC: 65M06 35B25 35K55 65M12 65M55 PDF BibTeX XML Cite \textit{I. Boglaev}, J. Comput. Appl. Math. 183, No. 1, 191--209 (2005; Zbl 1075.65110) Full Text: DOI
Boglaev, Igor A block monotone domain decomposition algorithm for a semilinear convection–diffusion problem. (English) Zbl 1067.65142 J. Comput. Appl. Math. 173, No. 2, 259-277 (2005). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N55 65N06 35J65 65N50 35B25 65H10 PDF BibTeX XML Cite \textit{I. Boglaev}, J. Comput. Appl. Math. 173, No. 2, 259--277 (2005; Zbl 1067.65142) Full Text: DOI
Rapin, Gerd The three-field formulation for elliptic equations: stabilization and decoupling strategies. (English) Zbl 1099.65115 Göttingen: Cuvillier; Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultäten (Diss. 2003). (ISBN 3-89873-963-5/pbk). ii, 180 p. (2004). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N55 35J25 65N12 65-02 65F10 65F35 PDF BibTeX XML Cite \textit{G. Rapin}, The three-field formulation for elliptic equations: stabilization and decoupling strategies. Göttingen: Cuvillier; Göttingen: Univ. Göttingen, Mathematisch-Naturwissenschaftliche Fakultäten (Diss. 2003). (2004; Zbl 1099.65115)
Jorge, J. C.; Portero, L. Some applications of fractional step Runge-Kutta methods. (English) Zbl 1070.65086 WSEAS Trans. Syst. 3, No. 8, 2770-2775 (2004). MSC: 65M20 35K15 65L06 65F10 65M55 PDF BibTeX XML Cite \textit{J. C. Jorge} and \textit{L. Portero}, WSEAS Trans. Syst. 3, No. 8, 2770--2775 (2004; Zbl 1070.65086)
Yang, Min; Du, Qikui A Schwarz alternating algorithm for elliptic boundary value problems in an infinite domain with a concave angle. (English) Zbl 1071.65171 Appl. Math. Comput. 159, No. 1, 199-220 (2004). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N55 65N12 65N30 65N38 35J25 65F10 PDF BibTeX XML Cite \textit{M. Yang} and \textit{Q. Du}, Appl. Math. Comput. 159, No. 1, 199--220 (2004; Zbl 1071.65171) Full Text: DOI
Boglaev, Igor Monotone iterative algorithms for a nonlinear singularly perturbed parabolic problem. (English) Zbl 1070.65091 J. Comput. Appl. Math. 172, No. 2, 313-335 (2004). Reviewer: Erwin Schechter (Moers) MSC: 65M55 65M06 35K57 35B25 65M12 PDF BibTeX XML Cite \textit{I. Boglaev}, J. Comput. Appl. Math. 172, No. 2, 313--335 (2004; Zbl 1070.65091) Full Text: DOI
Du, Qikui; Yu, Dehao Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains. (English) Zbl 1050.65090 Commun. Numer. Methods Eng. 20, No. 5, 363-378 (2004). Reviewer: H. P. Dikshit (New Delhi) MSC: 65M55 65M60 35K15 PDF BibTeX XML Cite \textit{Q. Du} and \textit{D. Yu}, Commun. Numer. Methods Eng. 20, No. 5, 363--378 (2004; Zbl 1050.65090) Full Text: DOI
Huang, Jianguo Numerical solution of the elastic body-plate problem by nonoverlapping domain decomposition type techniques. (English) Zbl 1068.74077 Math. Comput. 73, No. 245, 19-34 (2004). MSC: 74S05 74K20 65N30 65N12 65F10 65N55 PDF BibTeX XML Cite \textit{J. Huang}, Math. Comput. 73, No. 245, 19--34 (2004; Zbl 1068.74077) Full Text: DOI
Sun, Lianyou; Hong, Wei Analysis of the convergence relation between D-N alternating process and Schwartz alternating process. (Chinese. English summary) Zbl 1057.65073 Numer. Math., Nanjing 25, No. 4, 362-371 (2003). Reviewer: Qin Mengzhao (Beijing) MSC: 65N12 65N55 65N30 35J25 PDF BibTeX XML Cite \textit{L. Sun} and \textit{W. Hong}, Numer. Math., Nanjing 25, No. 4, 362--371 (2003; Zbl 1057.65073)
Spiteri, Pierre A new characterization of \(M\)-matrices and \(H\)-matrices. (English) Zbl 1053.65022 BIT 43, Suppl., 1019-1032 (2003). Reviewer: George A. Gravvanis (Athens) MSC: 65F10 65N22 65M55 65Y05 35J65 35K90 65M12 PDF BibTeX XML Cite \textit{P. Spiteri}, BIT 43, 1019--1032 (2003; Zbl 1053.65022) Full Text: DOI
Lui, S.-H. On monotone iteration and Schwarz methods for nonlinear parabolic PDEs. (English) Zbl 1038.65090 J. Comput. Appl. Math. 161, No. 2, 449-468 (2003). Reviewer: Emil Minchev (Tokyo) MSC: 65M55 35K55 65M70 65M12 PDF BibTeX XML Cite \textit{S. H. Lui}, J. Comput. Appl. Math. 161, No. 2, 449--468 (2003; Zbl 1038.65090) Full Text: DOI
Ben Belgacem, F.; Fournié, M.; Gmati, N.; Jelassi, F. On handling the boundary conditions at infinity for some exterior problems by the alternating Schwarz method. (Sur le traitement des conditions aux limites à l’infini pour quelques problèmes extérieurs par la méthode de Schwarz alternée.) (French. Abridged English version) Zbl 1027.65161 C. R., Math., Acad. Sci. Paris 336, No. 3, 277-282 (2003). MSC: 65N38 65N55 65F10 65N12 35J05 PDF BibTeX XML Cite \textit{F. Ben Belgacem} et al., C. R., Math., Acad. Sci. Paris 336, No. 3, 277--282 (2003; Zbl 1027.65161) Full Text: DOI
Boglaev, I. Uniform domain decomposition for a convection-diffusion problem. (English) Zbl 1026.65083 Debit, N. (ed.) et al., Domain decomposition methods in science and engineering. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9-12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). Theory Eng. Appl. Comput. Methods. 313-319 (2002). MSC: 65M55 65M06 65M12 35K55 35B25 65Y05 PDF BibTeX XML Cite \textit{I. Boglaev}, in: Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9--12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 313--319 (2002; Zbl 1026.65083)
Hu, Jianwei; Wang, Caihua Rate of convergence of Schwarz alternating method for time-dependent convection-diffusion problem. (English) Zbl 1013.65100 J. Comput. Math. 20, No. 5, 479-490 (2002). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M12 35K15 65M15 65M55 65M60 PDF BibTeX XML Cite \textit{J. Hu} and \textit{C. Wang}, J. Comput. Math. 20, No. 5, 479--490 (2002; Zbl 1013.65100)
Lui, S. H. On linear monotone iteration and Schwarz methods for nonlinear elliptic PDEs. (English) Zbl 1010.65052 Numer. Math. 93, No. 1, 109-129 (2002). Reviewer: Thomas Sonar (Braunschweig) MSC: 65N55 35J65 65N12 65H10 PDF BibTeX XML Cite \textit{S. H. Lui}, Numer. Math. 93, No. 1, 109--129 (2002; Zbl 1010.65052) Full Text: DOI
Sirotkin, V.; Tarvainen, P. Parallel Schwarz methods for convection-dominated semilinear diffusion problems. (English) Zbl 1012.65135 J. Comput. Appl. Math. 145, No. 1, 189-211 (2002). Reviewer: Eugene L.Allgower (Fort Collins) MSC: 65N55 35J65 65N12 35B25 65Y05 PDF BibTeX XML Cite \textit{V. Sirotkin} and \textit{P. Tarvainen}, J. Comput. Appl. Math. 145, No. 1, 189--211 (2002; Zbl 1012.65135) Full Text: DOI
Du, Q.; Yu, D. A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems. (English) Zbl 1004.65098 Computing 68, No. 2, 111-129 (2002). Reviewer: K.B.Schneider (Berlin) MSC: 65M55 65M60 65H10 65M12 35L70 PDF BibTeX XML Cite \textit{Q. Du} and \textit{D. Yu}, Computing 68, No. 2, 111--129 (2002; Zbl 1004.65098) Full Text: DOI
Kim, Sang-Bae Two-layer multi-parameterized Schwarz alternating method. (English) Zbl 0996.65137 Korean J. Comput. Appl. Math. 9, No. 1, 101-124 (2002). Reviewer: Prabhat Kumar Mahanti (New Brunswick) MSC: 65N55 65F10 65N12 65N06 35J25 PDF BibTeX XML Cite \textit{S.-B. Kim}, Korean J. Comput. Appl. Math. 9, No. 1, 101--124 (2002; Zbl 0996.65137)
Zhao, Lifeng; Du, Qikui A domain decomposition method based on natural boundary reduction for exterior wave problems. (English) Zbl 1022.65113 Math. Appl. 14, No. 2, 8-12 (2001). MSC: 65M55 65M20 65M60 35L05 65M12 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{Q. Du}, Math. Appl. 14, No. 2, 8--12 (2001; Zbl 1022.65113)
Jia, Zupeng; Yu, Dehao An overlapping domain decomposition method based on natural boundary reduction for a 2-D exterior Helmholtz problem. (English. Chinese original) Zbl 1006.65136 Chin. J. Numer. Math. Appl. 24, No. 1, 1-15 (2002); translation from J. Numer. Methods Comput. Appl. 22, No. 4, 241-253 (2001). MSC: 65N55 65N12 65N30 35J05 65F10 PDF BibTeX XML
Kocak, S.; Akay, H. U. Parallel Schur complement method for large-scale systems on distributed memory computers. (English) Zbl 0995.65132 Appl. Math. Modelling 25, No. 10, 873-886 (2001). MSC: 65N55 65N30 74S05 35J25 74B05 65Y05 PDF BibTeX XML Cite \textit{S. Kocak} and \textit{H. U. Akay}, Appl. Math. Modelling 25, No. 10, 873--886 (2001; Zbl 0995.65132) Full Text: DOI Link
Lui, S. H. On accelerated convergence of nonoverlapping Schwarz methods. (English) Zbl 1010.65053 J. Comput. Appl. Math. 130, No. 1-2, 309-321 (2001). MSC: 65N55 65F10 65F35 65N12 65N15 35J05 PDF BibTeX XML Cite \textit{S. H. Lui}, J. Comput. Appl. Math. 130, No. 1--2, 309--321 (2001; Zbl 1010.65053) Full Text: DOI
Lui, Shiu-Hong On monotone and Schwarz alternating methods for nonlinear elliptic PDEs. (English) Zbl 0976.65109 M2AN, Math. Model. Numer. Anal. 35, No. 1, 1-15 (2001). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65N12 35J65 65N06 92D25 PDF BibTeX XML Cite \textit{S.-H. Lui}, M2AN, Math. Model. Numer. Anal. 35, No. 1, 1--15 (2001; Zbl 0976.65109) Full Text: DOI Numdam EuDML
Lui, S. H. On Schwarz alternating methods for the incompressible Navier–Stokes equations. (English) Zbl 1008.76077 SIAM J. Sci. Comput. 22, No. 6, 1974-1986 (2001). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76M25 76D05 65N55 PDF BibTeX XML Cite \textit{S. H. Lui}, SIAM J. Sci. Comput. 22, No. 6, 1974--1986 (2001; Zbl 1008.76077) Full Text: DOI
Egorov, A. A. An iterative domain decomposition method for problems of mathematical physics. III. (English. Russian original) Zbl 1011.65078 Differ. Equ. 36, No. 5, 783-788 (2000); translation from Differ. Uravn. 36, No. 5, 703-708 (2000). MSC: 65N06 65N12 65F10 65N55 35J25 PDF BibTeX XML Cite \textit{A. A. Egorov}, Differ. Equ. 36, No. 5, 783--788 (2000; Zbl 1011.65078); translation from Differ. Uravn. 36, No. 5, 703--708 (2000) Full Text: DOI
Lui, S. H. On Schwarz alternating methods for nonlinear elliptic PDEs. (English) Zbl 0959.65140 SIAM J. Sci. Comput. 21, No. 4, 1506-1523 (1999). Reviewer: Gunther Schmidt (Berlin) MSC: 65N55 35J65 65Y05 65H10 PDF BibTeX XML Cite \textit{S. H. Lui}, SIAM J. Sci. Comput. 21, No. 4, 1506--1523 (2000; Zbl 0959.65140) Full Text: DOI
Xu, Chuanju An efficient method for the Navier-Stokes/Euler coupled equations via a collocation approximation. (English) Zbl 0985.76068 SIAM J. Numer. Anal. 38, No. 4, 1217-1242 (2000). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M25 76D05 76B99 76M22 PDF BibTeX XML Cite \textit{C. Xu}, SIAM J. Numer. Anal. 38, No. 4, 1217--1242 (2000; Zbl 0985.76068) Full Text: DOI
Lui, S. H. Domain decomposition methods for eigenvalue problems. (English) Zbl 0952.65085 J. Comput. Appl. Math. 117, No. 1, 17-34 (2000). Reviewer: Gunther Schmidt (Berlin) MSC: 65N25 65F10 65N12 65N55 35P15 PDF BibTeX XML Cite \textit{S. H. Lui}, J. Comput. Appl. Math. 117, No. 1, 17--34 (2000; Zbl 0952.65085) Full Text: DOI
Wu, Jiming; Yu, Dehao The overlapping domain decomposition method for harmonic equation over exterior three-dimensional domain. (English) Zbl 0952.65097 J. Comput. Math. 18, No. 1, 83-94 (2000). Reviewer: Gunther Schmidt (Berlin) MSC: 65N55 65N15 65N30 65F10 35J05 65N12 PDF BibTeX XML Cite \textit{J. Wu} and \textit{D. Yu}, J. Comput. Math. 18, No. 1, 83--94 (2000; Zbl 0952.65097)
Yu, Dehao The natural integral operators and the domain decomposition methods for 3-D exterior problems. (English) Zbl 0954.65086 Kawarada, H. (ed.) et al., Advances in numerical mathematics. Proceedings of the 4th Japan-China joint seminar on numerical mathematics, Chiba Univ., Chiba, Japan, August 24-28, 1998. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 12, 163-170 (1999). MSC: 65N55 65F10 65N30 65N45 35J05 PDF BibTeX XML Cite \textit{D. Yu}, GAKUTO Int. Ser., Math. Sci. Appl. 12, 163--170 (1999; Zbl 0954.65086)
Hu, Jianwei Strongly discrete maximum principle and domain decomposition method for non-self-adjoint elliptic problem. (Chinese. English summary) Zbl 0934.65137 Math. Numer. Sin. 21, No. 3, 283-292 (1999). MSC: 65N55 35J25 65N30 65F10 65N12 PDF BibTeX XML Cite \textit{J. Hu}, Math. Numer. Sin. 21, No. 3, 283--292 (1999; Zbl 0934.65137)
Engquist, Bjorn; Zhao, Hong-Kai Absorbing boundary conditions for domain decomposition. (English) Zbl 0952.65098 Geers, Thomas L. (ed.), IUTAM symposium on computational methods for unbounded domains. Proceedings of the IUTAM symposium held in Boulder, CO, USA, July 27-31, 1997. Dordrecht: Kluwer Academic Publishers. Fluid Mech. Appl. 49, 315-324 (1998). MSC: 65N55 65F10 65Y05 65N30 35J25 65N12 35J05 PDF BibTeX XML Cite \textit{B. Engquist} and \textit{H.-K. Zhao}, Fluid Mech. Appl. 49, 315--324 (1998; Zbl 0952.65098)
Abrashin, V. N.; Egorov, A. A. An iterative domain decomposition method for solving problems of mathematical physics. II. (English. Russian original) Zbl 1046.65083 Differ. Equations 34, No. 2, 270-276 (1998); translation from Differ. Uravn. 34, No. 2, 266-271 (1998). MSC: 65N06 65N55 65F10 65N12 35J25 65Y05 PDF BibTeX XML Cite \textit{V. N. Abrashin} and \textit{A. A. Egorov}, Differ. Equations 34, No. 2, 270--276 (1998; Zbl 1046.65083); translation from Differ. Uravn. 34, No. 2, 266--271 (1998)
Lui, Shiu Hong On Schwarz alternating methods for nonlinear elliptic problems. (English) Zbl 0909.65110 Mandel, Jan (ed.) et al., Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10–14, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 218, 447-452 (1998). MSC: 65N55 65J15 65H10 35J65 PDF BibTeX XML Cite \textit{S. H. Lui}, Contemp. Math. 218, 447--452 (1998; Zbl 0909.65110)
Mathew, T. P. Uniform convergence of the Schwarz alternating method for solving singularly perturbed advection-diffusion equations. (English) Zbl 0913.65108 SIAM J. Numer. Anal. 35, No. 4, 1663-1683 (1998). Reviewer: E.Lanckau (Chemnitz) MSC: 65N55 65N12 35B25 35J25 65F10 65Y20 PDF BibTeX XML Cite \textit{T. P. Mathew}, SIAM J. Numer. Anal. 35, No. 4, 1663--1683 (1998; Zbl 0913.65108) Full Text: DOI
Maliassov, S. Yu. On the Schwarz alternating method for eigenvalue problems. (English) Zbl 0901.65065 Russ. J. Numer. Anal. Math. Model. 13, No. 1, 45-56 (1998). Reviewer: W.Velte (Würzburg) MSC: 65N25 65N30 65N55 35P15 65F10 PDF BibTeX XML Cite \textit{S. Yu. Maliassov}, Russ. J. Numer. Anal. Math. Model. 13, No. 1, 45--56 (1998; Zbl 0901.65065) Full Text: DOI
Miellou, J. C.; El Baz, D.; Spiteri, P. A new class of asynchronous iterative algorithms with order intervals. (English) Zbl 0899.65031 Math. Comput. 67, No. 221, 237-255 (1998). Reviewer: V.Berinde (Baia Mare) MSC: 65H10 65Y05 65N55 PDF BibTeX XML Cite \textit{J. C. Miellou} et al., Math. Comput. 67, No. 221, 237--255 (1998; Zbl 0899.65031) Full Text: DOI
Zheng, Quan; Yu, Dehao A Schwarz alternating method for unbounded domains and its discretization based on natural boundary reduction over half-plane. (Chinese. English summary) Zbl 0882.65114 Math. Numer. Sin. 19, No. 2, 205-218 (1997). Reviewer: Liu Xinguo (Qingdao) MSC: 65N55 35J05 65N30 65F10 PDF BibTeX XML Cite \textit{Q. Zheng} and \textit{D. Yu}, Math. Numer. Sin. 19, No. 2, 205--218 (1997; Zbl 0882.65114)
Carstensen, C. Domain decomposition for a non-smooth convex minimization problem and its application to plasticity. (English) Zbl 0890.49015 Numer. Linear Algebra Appl. 4, No. 3, 177-190 (1997). Reviewer: J.Chleboun (Praha) MSC: 90C25 74S30 65M99 65N99 65M55 65N55 35J85 PDF BibTeX XML Cite \textit{C. Carstensen}, Numer. Linear Algebra Appl. 4, No. 3, 177--190 (1997; Zbl 0890.49015) Full Text: DOI
Huang, H. C.; Xue, W. M.; Zhang, Sheng Splitting a concave domain to convex subdomains. (English) Zbl 0903.65089 J. Comput. Math. 15, No. 3, 279-287 (1997). Reviewer: A.L.Pletea (Iaşi) MSC: 65N55 35J05 65F35 65N30 65N12 65F10 PDF BibTeX XML Cite \textit{H. C. Huang} et al., J. Comput. Math. 15, No. 3, 279--287 (1997; Zbl 0903.65089)
Sirotkin, V. V. The solution of singularly perturbed semilinear elliptic problems by iterative domain decomposition algorithms. (English) Zbl 0933.65140 Comput. Math. Appl. 33, No. 11, 99-116 (1997). Reviewer: R.H.W.Hoppe (München) MSC: 65N55 65H10 35B25 35J65 65N06 65N12 PDF BibTeX XML Cite \textit{V. V. Sirotkin}, Comput. Math. Appl. 33, No. 11, 99--116 (1997; Zbl 0933.65140) Full Text: DOI
Shishkin, G. I. Acceleration of the process of the numerical solution to singularly perturbed boundary value problems for parabolic equations on the basis of parallel computations. (English) Zbl 0880.65071 Russ. J. Numer. Anal. Math. Model. 12, No. 3, 271-291 (1997). Reviewer: Qin Mengzhao (Beijing) MSC: 65M06 65Y05 65M55 65M12 35K15 PDF BibTeX XML Cite \textit{G. I. Shishkin}, Russ. J. Numer. Anal. Math. Model. 12, No. 3, 271--291 (1997; Zbl 0880.65071) Full Text: DOI
Zheng, Quan; Yu, Dehao A Schwarz alternating method for unbounded domains and its discretization based on natural boundary reduction over half-plane. (English. Chinese original) Zbl 0928.65149 Chin. J. Numer. Math. Appl. 19, No. 3, 78-93 (1997); translation from Math. Numer. Sin. 19, No. 2, 205-218 (1997). MSC: 65N55 35J05 65N30 65F10 PDF BibTeX XML Cite \textit{Q. Zheng} and \textit{D. Yu}, Chin. J. Numer. Math. Appl. 19, No. 3, 205--218 (1997; Zbl 0928.65149); translation from Math. Numer. Sin. 19, No. 2, 205--218 (1997)
Kim, S.-B.; Hadjidimos, A.; Houstis, E. N.; Rice, J. R. Multi-parameterized Schwarz alternating methods for elliptic boundary value problems. (English) Zbl 1080.65546 Math. Comput. Simul. 42, No. 1, 47-76 (1996). MSC: 65N55 65N06 PDF BibTeX XML Cite \textit{S. B. Kim} et al., Math. Comput. Simul. 42, No. 1, 47--76 (1996; Zbl 1080.65546) Full Text: DOI
Schwandt, H. A globally convergent Schwarz alternating method for the parallel solution of a class of nonlinear systems of equations. (English) Zbl 0925.65098 Z. Angew. Math. Mech. 76, Suppl. 1, 529-530 (1996). MSC: 65H10 65G30 65Y05 65N06 35J65 PDF BibTeX XML Cite \textit{H. Schwandt}, Z. Angew. Math. Mech. 76, 529--530 (1996; Zbl 0925.65098)
Huang, Jianguo Additive Schwarz alternating method for nonconforming finite element—Case of weak overlap. (Chinese. English summary) Zbl 0880.65091 Math. Numer. Sin. 18, No. 1, 103-112 (1996). Reviewer: Hou Zongyi (Shanghai) MSC: 65N55 65F35 65N30 65F10 35J25 PDF BibTeX XML Cite \textit{J. Huang}, Math. Numer. Sin. 18, No. 1, 103--112 (1996; Zbl 0880.65091)
Lee, Chang-Ock A comparison of some standard elliptic solvers: CM-5 vs. Cray C-90. (English) Zbl 0884.65116 J. Sci. Comput. 11, No. 2, 99-126 (1996). Reviewer: J.Vaníček (Praha) MSC: 65N55 65Y05 65Y10 65F10 35J05 PDF BibTeX XML Cite \textit{C.-O. Lee}, J. Sci. Comput. 11, No. 2, 99--126 (1996; Zbl 0884.65116) Full Text: DOI
Boglaev, I. P.; Sirotkin, V. V. Solution of a singularly perturbed parabolic problem by domain decomposition with time extrapolation. (English) Zbl 0857.65099 Comput. Math. Appl. 32, No. 2, 75-90 (1996). MSC: 65M55 65F10 65M12 35K15 35B25 PDF BibTeX XML Cite \textit{I. P. Boglaev} and \textit{V. V. Sirotkin}, Comput. Math. Appl. 32, No. 2, 75--90 (1996; Zbl 0857.65099) Full Text: DOI
Garbey, Marc A Schwarz alternating procedure for singular perturbation problems. (English) Zbl 0865.65087 SIAM J. Sci. Comput. 17, No. 5, 1175-1201 (1996). Reviewer: R.D.Grigorieff (Berlin) MSC: 65N55 65F10 65N06 80A25 35B25 35J25 35J40 PDF BibTeX XML Cite \textit{M. Garbey}, SIAM J. Sci. Comput. 17, No. 5, 1175--1201 (1996; Zbl 0865.65087) Full Text: DOI
Rui, Hongxing The variational form of the Schwarz alternating method for the parabolic problem and error estimates. (Chinese. English summary) Zbl 0853.65099 J. Shandong Univ., Nat. Sci. Ed. 31, No. 1, 8-12 (1996). Reviewer: Qin Mengzhao (Beijing) MSC: 65M55 65F10 65M15 35K15 PDF BibTeX XML Cite \textit{H. Rui}, J. Shandong Univ., Nat. Sci. Ed. 31, No. 1, 8--12 (1996; Zbl 0853.65099)
Gu, Jinsheng; Hu, Xiancheng Overlapping domain decomposition method for nonselfadjoint elliptic problems discretized by Crouzeix-Raviart elements. (Chinese. English summary) Zbl 0860.65118 Math. Numer. Sin. 17, No. 3, 282-290 (1995). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 65N55 65N30 35J25 65N12 65Y05 PDF BibTeX XML Cite \textit{J. Gu} and \textit{X. Hu}, Math. Numer. Sin. 17, No. 3, 282--290 (1995; Zbl 0860.65118)
Gu, Jinsheng; Hu, Xiancheng Overlapping domain decomposition method for nonselfadjoint elliptic problems discretized by Crouzeix-Raviart elements. (English. Chinese original) Zbl 0885.65128 Chin. J. Numer. Math. Appl. 17, No. 4, 34-42 (1995); translation from Math. Numer. Sin. 17, No. 3, 282-290 (1995). MSC: 65N55 65N30 35J25 65N12 65Y05 PDF BibTeX XML Cite \textit{J. Gu} and \textit{X. Hu}, Chin. J. Numer. Math. Appl. 17, No. 4, 282--290 (1995; Zbl 0885.65128); translation from Math. Numer. Sin. 17, No. 3, 282--290 (1995)
Rachkov, A. V. The convergence of the Schwarz method for an arbitrary number of subdomains. (English. Russian original) Zbl 0842.65021 Comput. Math. Math. Phys. 35, No. 2, 207-215 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 2, 260-270 (1995). MSC: 65F10 65N55 65N12 65N15 65N30 35J05 PDF BibTeX XML Cite \textit{A. V. Rachkov}, Comput. Math. Math. Phys. 35, No. 2, 207--215 (1995; Zbl 0842.65021); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 2, 260--270 (1995)
Yang, Danping A parallel Schwarz algorithm and its convergence for elliptic problems. (English) Zbl 0835.65053 Ushijima, Teruo (ed.) et al., Advances in numerical mathematics. Proceedings of the 2nd Japan-China seminar on numerical mathematics, held in August 22-26, 1994 at the University of Electro-Communications in Tokyo, Japan. Tokyo: Kinokuniya. Lect. Notes Numer. Appl. Anal. 14, 269-273 (1995). MSC: 65F10 65N12 65Y05 65N30 65N55 35J25 PDF BibTeX XML Cite \textit{D. Yang}, in: Advances in numerical mathematics. Proceedings of the 2nd Japan-China seminar on numerical mathematics, held in August 22-26, 1994 at the University of Electro-Communications in Tokyo, Japan. Tokyo: Kinokuniya. 269--273 (1995; Zbl 0835.65053)
Cai, Xiao-Chuan A family of overlapping Schwarz algorithms for nonsymmetric and indefinite elliptic problems. (English) Zbl 0854.65113 Keyes, David E. (ed.) et al., Domain-based parallelism and problem decomposition methods in computational science and engineering. Philadelphia, PA: SIAM. 1-19 (1995). Reviewer: O.Widlund (New York) MSC: 65N55 65N30 65F50 65F10 35J25 65-02 PDF BibTeX XML Cite \textit{X.-C. Cai}, in: Domain-based parallelism and problem decomposition methods in computational science and engineering. Philadelphia, PA: SIAM. 1--19 (1995; Zbl 0854.65113)
Ku, Hwar-Ching Solution of flow in complex geometries by the pseudospectral element method. (English) Zbl 0822.76073 J. Comput. Phys. 117, No. 2, 215-227 (1995). Reviewer: W.Heinrichs (Düsseldorf) MSC: 76M25 76D05 PDF BibTeX XML Cite \textit{H.-C. Ku}, J. Comput. Phys. 117, No. 2, 215--227 (1995; Zbl 0822.76073) Full Text: DOI
Lavers, J. D.; Boglaev, I. P.; Sirotkin, V. V. Solution of the 2-D eddy current problem via the domain decomposition methods on serial and parallel computers. (English) Zbl 0820.65084 Math. Comput. Modelling 21, No. 5, 31-48 (1995). Reviewer: E.V.Nicolau (Bucureşti) MSC: 65Z05 65N55 65F10 78A25 35Q60 PDF BibTeX XML Cite \textit{J. D. Lavers} et al., Math. Comput. Modelling 21, No. 5, 31--48 (1995; Zbl 0820.65084) Full Text: DOI
Boglaev, I. P.; Sirotkin, V. V. Iterative domain decomposition algorithms for the solution of 2-D eddy current problem. (English) Zbl 0817.65132 Comput. Math. Appl. 29, No. 1, 67-81 (1995). Reviewer: E.V.Nicolau (Bucureşti) MSC: 65Z05 65Y05 65N55 35Q60 78A25 PDF BibTeX XML Cite \textit{I. P. Boglaev} and \textit{V. V. Sirotkin}, Comput. Math. Appl. 29, No. 1, 67--81 (1995; Zbl 0817.65132) Full Text: DOI
Meddahi, S. Schwarz algorithms for the Raviart-Thomas mixed method. (English) Zbl 0842.65069 Calcolo 31, No. 1-2, 95-114 (1994). MSC: 65N30 65F10 65N12 35J25 PDF BibTeX XML Cite \textit{S. Meddahi}, Calcolo 31, No. 1--2, 95--114 (1994; Zbl 0842.65069) Full Text: DOI
Ku, H. C.; Gilreath, H. E.; Raul, R.; Sommerer, J. C. Direct numerical simulation of jet flow via a multi-block technique. (English) Zbl 0818.76017 Keyes, David E. (ed.) et al., Domain decomposition methods in scientific and engineering computing. Proceedings of the 7th international conference on domain decomposition, October 27-30, 1993, Pennsylvania State University, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 180, 509-514 (1994). MSC: 76D25 76M25 76D05 65M55 65M70 PDF BibTeX XML Cite \textit{H. C. Ku} et al., Contemp. Math. 180, 509--514 (1994; Zbl 0818.76017)
Sun, Victor H.; Tang, Wei-Pai An overdetermined Schwarz alternating method. (English) Zbl 0817.65120 Keyes, David E. (ed.) et al., Domain decomposition methods in scientific and engineering computing. Proceedings of the 7th international conference on domain decomposition, October 27-30, 1993, Pennsylvania State University, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 180, 349-354 (1994). MSC: 65N55 65N12 65F10 65N06 35J25 PDF BibTeX XML Cite \textit{V. H. Sun} and \textit{W.-P. Tang}, Contemp. Math. 180, 349--354 (1994; Zbl 0817.65120)
Su, Chaowei A domain decomposition method for determining the diffusion coefficient of a two-dimensional linear diffusion equation in the time domain. (English) Zbl 0813.65134 Appl. Numer. Math. 15, No. 4, 481-493 (1994). Reviewer: O.Dementev (Chelyabinsk) MSC: 65Z05 65M55 35R30 35K05 PDF BibTeX XML Cite \textit{C. Su}, Appl. Numer. Math. 15, No. 4, 481--493 (1994; Zbl 0813.65134) Full Text: DOI
Li, Zi-Cai The Schwarz alternating method for singularity problems. (English) Zbl 0813.65129 SIAM J. Sci. Comput. 15, No. 5, 1064-1082 (1994). Reviewer: R.Blaheta (Ostrava) MSC: 65N55 65N30 74S05 65N12 65F10 35J25 74R99 PDF BibTeX XML Cite \textit{Z.-C. Li}, SIAM J. Sci. Comput. 15, No. 5, 1064--1082 (1994; Zbl 0813.65129) Full Text: DOI
Cai, Xiao-Chuan Multiplicative Schwarz methods for parabolic problems. (English) Zbl 0803.65096 SIAM J. Sci. Comput. 15, No. 3, 587-603 (1994). Reviewer: S.F.McCormick (Boulder) MSC: 65M55 65M60 65M12 35K15 PDF BibTeX XML Cite \textit{X.-C. Cai}, SIAM J. Sci. Comput. 15, No. 3, 587--603 (1994; Zbl 0803.65096) Full Text: DOI
Nataf, Frédéric; Rogier, François Factorization of the convection-diffusion operator and a (possibly) non overlapping Schwarz method. (English) Zbl 0796.65105 Quarteroni, Alfio (ed.) et al., Domain decomposition methods in science and engineering. The sixth international conference on domain decomposition, Como, Italy, June 15-19, 1992. Providence, RI: American Mathematical Society. Contemp. Math. 157, 287-292 (1994). Reviewer: O.Titow (Berlin) MSC: 65M55 65F10 65M12 35K15 PDF BibTeX XML Cite \textit{F. Nataf} and \textit{F. Rogier}, Contemp. Math. 157, 287--292 (1994; Zbl 0796.65105)
Mandel, Jan Hybrid domain decomposition with unstructured subdomains. (English) Zbl 0796.65127 Quarteroni, Alfio (ed.) et al., Domain decomposition methods in science and engineering. The sixth international conference on domain decomposition, Como, Italy, June 15-19, 1992. Providence, RI: American Mathematical Society. Contemp. Math. 157, 103-112 (1994). Reviewer: I.N.Katz (St.Louis) MSC: 65N55 65F10 65N12 65N30 35J25 PDF BibTeX XML Cite \textit{J. Mandel}, Contemp. Math. 157, 103--112 (1994; Zbl 0796.65127)
Abdoulaev, G. S. Overlapping domain decomposition method for Burgers equation. (English) Zbl 0835.65113 East-West J. Numer. Math. 1, No. 2, 75-86 (1993). MSC: 65M55 65M06 65M60 65H10 35Q53 PDF BibTeX XML Cite \textit{G. S. Abdoulaev}, East-West J. Numer. Math. 1, No. 2, 75--86 (1993; Zbl 0835.65113)
Douglas, Jim jun.; Wang, Junping A new family of mixed finite element spaces over rectangles. (English) Zbl 0806.65109 Comput. Appl. Math. 12, No. 3, 183-197 (1993). Reviewer: M.Plum (Clausthal-Zellerfeld) MSC: 65N30 65N55 65N15 65F10 35J25 PDF BibTeX XML Cite \textit{J. Douglas jun.} and \textit{J. Wang}, Comput. Appl. Math. 12, No. 3, 183--197 (1993; Zbl 0806.65109)
Mathew, Tarek P. Schwarz alternating and iterative refinement methods for mixed formulations of elliptic problems. II: Convergence theory. (English) Zbl 0801.65107 Numer. Math. 65, No. 4, 469-492 (1993). Reviewer: D.A.Quinney (Keele) MSC: 65N30 65N55 65F10 65N50 35J25 PDF BibTeX XML Cite \textit{T. P. Mathew}, Numer. Math. 65, No. 4, 469--492 (1993; Zbl 0801.65107) Full Text: DOI EuDML
Rui, Hongxing Schwarz alternating method for a kind of parabolic equations and error analysis. (Chinese. English summary) Zbl 0789.65077 Numer. Math., Nanjing 15, No. 4, 360-368 (1993). MSC: 65M55 65M15 65M06 65F10 65M12 35K15 PDF BibTeX XML Cite \textit{H. Rui}, Numer. Math., Nanjing 15, No. 4, 360--368 (1993; Zbl 0789.65077)
Zhou, Shuquan; Fang, Jinglong A highly parallel Schwarz-chaotic relaxation method and its convergence proof. (Chinese. English summary) Zbl 0789.65082 J. Nanjing Univ. Aeronaut. Astronaut. 25, No. 3, 304-309 (1993). Reviewer: Sun Yongsheng (Beijing) MSC: 65N06 65F10 65N55 65Y05 65H10 35J25 35J65 PDF BibTeX XML Cite \textit{S. Zhou} and \textit{J. Fang}, J. Nanjing Univ. Aeronaut. Astronaut. 25, No. 3, 304--309 (1993; Zbl 0789.65082)