Ushakov, A. L. Analysis of the mixed boundary value problem for the Poisson’s equation. (Russian. English summary) Zbl 1479.35254 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 13, No. 1, 29-40 (2021). MSC: 35J05 35J25 PDF BibTeX XML Cite \textit{A. L. Ushakov}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat., Mekh., Fiz. 13, No. 1, 29--40 (2021; Zbl 1479.35254) Full Text: DOI MNR OpenURL
Goreinov, Sergei A. A note on the fast direct method for discrete elliptic problems. (English) Zbl 1431.65023 Russ. J. Numer. Anal. Math. Model. 34, No. 6, 317-326 (2019). MSC: 65F05 65N22 65Y05 PDF BibTeX XML Cite \textit{S. A. Goreinov}, Russ. J. Numer. Anal. Math. Model. 34, No. 6, 317--326 (2019; Zbl 1431.65023) Full Text: DOI OpenURL
Lui, S. H. Spectral domain embedding for elliptic PDEs in complex domains. (English) Zbl 1160.65346 J. Comput. Appl. Math. 225, No. 2, 541-557 (2009). MSC: 65N35 35J25 65N12 65N55 PDF BibTeX XML Cite \textit{S. H. Lui}, J. Comput. Appl. Math. 225, No. 2, 541--557 (2009; Zbl 1160.65346) Full Text: DOI OpenURL
Sadraie, Hamid R.; Crouch, Steven L.; Mogilevskaya, Sofia G. A boundary spectral method for elastostatic problems with multiple spherical cavities and inclusions. (English) Zbl 1195.74274 Eng. Anal. Bound. Elem. 31, No. 5, 425-442 (2007). MSC: 74S25 74B05 PDF BibTeX XML Cite \textit{H. R. Sadraie} et al., Eng. Anal. Bound. Elem. 31, No. 5, 425--442 (2007; Zbl 1195.74274) Full Text: DOI OpenURL
Glowinski, R.; Kuznetsov, Yu. Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems. (English) Zbl 1173.65369 Comput. Methods Appl. Mech. Eng. 196, No. 8, 1498-1506 (2007). MSC: 65N99 PDF BibTeX XML Cite \textit{R. Glowinski} and \textit{Yu. Kuznetsov}, Comput. Methods Appl. Mech. Eng. 196, No. 8, 1498--1506 (2007; Zbl 1173.65369) Full Text: DOI OpenURL
Ito, Kazufumi; Toivanen, J. A fast iterative solver for scattering by elastic objects in layered media. (English) Zbl 1112.76047 Appl. Numer. Math. 57, No. 5-7, 811-820 (2007). MSC: 76M10 76Q05 65F10 74F10 PDF BibTeX XML Cite \textit{K. Ito} and \textit{J. Toivanen}, Appl. Numer. Math. 57, No. 5--7, 811--820 (2007; Zbl 1112.76047) Full Text: DOI Link OpenURL
Ito, Kazufumi; Toivanen, Jari Preconditioned iterative methods on sparse subspaces. (English) Zbl 1176.65030 Appl. Math. Lett. 19, No. 11, 1191-1197 (2006). MSC: 65F08 65F10 65F50 35J05 65N85 35R05 35J25 PDF BibTeX XML Cite \textit{K. Ito} and \textit{J. Toivanen}, Appl. Math. Lett. 19, No. 11, 1191--1197 (2006; Zbl 1176.65030) Full Text: DOI OpenURL
Singh, K. M.; Williams, J. J. R. A parallel fictitious domain multigrid preconditioner for the solution of Poisson’s equation in complex geometries. (English) Zbl 1093.65104 Comput. Methods Appl. Mech. Eng. 194, No. 45-47, 4845-4860 (2005). MSC: 65N06 65Y05 80M20 76F35 65N55 65F10 65F35 80A20 76M20 35J05 PDF BibTeX XML Cite \textit{K. M. Singh} and \textit{J. J. R. Williams}, Comput. Methods Appl. Mech. Eng. 194, No. 45--47, 4845--4860 (2005; Zbl 1093.65104) Full Text: DOI OpenURL
Bokil, Vrushali A.; Glowinski, Roland An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems. (English) Zbl 1083.65090 J. Comput. Phys. 205, No. 1, 242-268 (2005). Reviewer: Michal Beneš (Praha) MSC: 65M60 65M06 35L05 PDF BibTeX XML Cite \textit{V. A. Bokil} and \textit{R. Glowinski}, J. Comput. Phys. 205, No. 1, 242--268 (2005; Zbl 1083.65090) Full Text: DOI OpenURL
Mair, M.; Wohlmuth, B. I. A domain decomposition method for domains with holes using a complementary decomposition. (English) Zbl 1112.74528 Comput. Methods Appl. Mech. Eng. 193, No. 45-47, 4961-4978 (2004). MSC: 74S05 74B05 65N55 PDF BibTeX XML Cite \textit{M. Mair} and \textit{B. I. Wohlmuth}, Comput. Methods Appl. Mech. Eng. 193, No. 45--47, 4961--4978 (2004; Zbl 1112.74528) Full Text: DOI OpenURL
Knyazev, Andrew; Widlund, Olof Lavrentiev regularization + Ritz approximation = uniform finite element error estimates for differential equations with rough coefficients. (English) Zbl 1014.65121 Math. Comput. 72, No. 241, 17-40 (2003). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N30 35J25 35J70 65N15 35R05 PDF BibTeX XML Cite \textit{A. Knyazev} and \textit{O. Widlund}, Math. Comput. 72, No. 241, 17--40 (2003; Zbl 1014.65121) Full Text: DOI OpenURL
Kärkkäinen, T.; Toivanen, J. Building blocks for odd-even multigrid with applications to reduced systems. (English) Zbl 0982.65131 J. Comput. Appl. Math. 131, No. 1-2, 15-33 (2001). MSC: 65N55 65N30 35J05 PDF BibTeX XML Cite \textit{T. Kärkkäinen} and \textit{J. Toivanen}, J. Comput. Appl. Math. 131, No. 1--2, 15--33 (2001; Zbl 0982.65131) Full Text: DOI OpenURL
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 OpenURL
Mäkinen, Raino A. E.; Rossi, Tuomo; Toivanen, Jari A moving mesh fictitious domain approach for shape optimization problems. (English) Zbl 0948.65064 M2AN, Math. Model. Numer. Anal. 34, No. 1, 31-45 (2000). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K10 49J20 49M29 PDF BibTeX XML Cite \textit{R. A. E. Mäkinen} et al., M2AN, Math. Model. Numer. Anal. 34, No. 1, 31--45 (2000; Zbl 0948.65064) Full Text: DOI EuDML Link OpenURL
Haug, Einar; Winther, Ragnar A domain embedding preconditioner for the Lagrange multiplier system. (English) Zbl 0936.65131 Math. Comput. 69, No. 229, 65-82 (2000). Reviewer: H.Hollatz (Magdeburg) MSC: 65N30 65F10 65F35 35J25 PDF BibTeX XML Cite \textit{E. Haug} and \textit{R. Winther}, Math. Comput. 69, No. 229, 65--82 (2000; Zbl 0936.65131) Full Text: DOI OpenURL
Heikkola, Erkki; Kuznetsov, Yuri A.; Neittaanmäki, Pekka; Toivanen, Jari Fictitious domain methods for the numerical solution of two-dimensional scattering problems. (English) Zbl 0909.65119 J. Comput. Phys. 145, No. 1, 89-109 (1998). Reviewer: K.Najzar (Praha) MSC: 65Z05 78A45 76Q05 65N55 35Q60 35J05 35Q35 65N30 PDF BibTeX XML Cite \textit{E. Heikkola} et al., J. Comput. Phys. 145, No. 1, 89--109 (1998; Zbl 0909.65119) Full Text: DOI OpenURL
Collino, Francis; Joly, Patrick; Millot, Florence Fictitious domain method for unsteady problems: application to electromagnetic scattering. (English) Zbl 1126.78311 J. Comput. Phys. 138, No. 2, 907-938 (1997). MSC: 78M25 78A45 PDF BibTeX XML Cite \textit{F. Collino} et al., J. Comput. Phys. 138, No. 2, 907--938 (1997; Zbl 1126.78311) Full Text: DOI OpenURL
Tarvainen, P. Numerical algorithms based on characteristic domain decomposition for obstacle problems. (English) Zbl 0884.65063 Commun. Numer. Methods Eng. 13, No. 10, 793-801 (1997). Reviewer: Costică Moroşanu (Iaşi) MSC: 65K10 49J15 49M27 PDF BibTeX XML Cite \textit{P. Tarvainen}, Commun. Numer. Methods Eng. 13, No. 10, 793--801 (1997; Zbl 0884.65063) Full Text: DOI OpenURL
Glowinski, Roland; Pan, Tsorng-Whay; Periaux, Jacques A fictitious domain method for Dirichlet problem and applications. (English) Zbl 0845.73078 Comput. Methods Appl. Mech. Eng. 111, No. 3-4, 283-303 (1994). MSC: 74S30 74C10 PDF BibTeX XML Cite \textit{R. Glowinski} et al., Comput. Methods Appl. Mech. Eng. 111, No. 3--4, 283--303 (1994; Zbl 0845.73078) Full Text: DOI OpenURL
Atamian, C.; Joly, P. Analysis of the fictitious domain method for the exterior Helmholtz problem. (Une analyse de la méthode des domaines fictifs pour le problème de Helmholtz extérieur.) (French. English summary) Zbl 0807.65069 RAIRO, Modélisation Math. Anal. Numér. 27, No. 3, 251-288 (1993). Reviewer: L.G.Vulkov (Russe) MSC: 65K10 65Z05 49M30 49M29 49J20 78A45 35Q60 PDF BibTeX XML Cite \textit{C. Atamian} and \textit{P. Joly}, RAIRO, Modélisation Math. Anal. Numér. 27, No. 3, 251--288 (1993; Zbl 0807.65069) Full Text: DOI EuDML OpenURL
Börgers, Christoph Domain imbedding methods for the Stokes equations. (English) Zbl 0701.76042 Numer. Math. 57, No. 5, 435-451 (1990). MSC: 76D07 76M10 65N22 65F10 PDF BibTeX XML Cite \textit{C. Börgers}, Numer. Math. 57, No. 5, 435--451 (1990; Zbl 0701.76042) Full Text: DOI EuDML OpenURL
Kuznetsov, Yu. A. Multi-level domain decomposition methods. (English) Zbl 0694.65049 Appl. Numer. Math. 6, No. 4, 303-314 (1990). Reviewer: J.Albrycht MSC: 65N22 65Y05 65N30 35J25 PDF BibTeX XML Cite \textit{Yu. A. Kuznetsov}, Appl. Numer. Math. 6, No. 4, 303--314 (1990; Zbl 0694.65049) Full Text: DOI OpenURL
Axelsson, O.; Polman, B. Block preconditioning and domain decomposition methods. II. (English) Zbl 0658.65094 J. Comput. Appl. Math. 24, No. 1-2, 55-72 (1988). Reviewer: O.Axelsson MSC: 65N22 65F10 35J25 PDF BibTeX XML Cite \textit{O. Axelsson} and \textit{B. Polman}, J. Comput. Appl. Math. 24, No. 1--2, 55--72 (1988; Zbl 0658.65094) Full Text: DOI OpenURL