Li, Chuan; Ren, Yiming; Long, Guangqing; Boerman, Eric; Zhao, Shan A fast sine transform accelerated high-order finite difference method for parabolic problems over irregular domains. (English) Zbl 07698923 J. Sci. Comput. 95, No. 2, Paper No. 49, 38 p. (2023). MSC: 65M06 65N06 65T50 65M85 65M12 65M15 35K15 PDF BibTeX XML Cite \textit{C. Li} et al., J. Sci. Comput. 95, No. 2, Paper No. 49, 38 p. (2023; Zbl 07698923) Full Text: DOI
Lou, Yimin; Lehrenfeld, Christoph Isoparametric unfitted BDF-finite element method for PDEs on evolving domains. (English) Zbl 1501.65076 SIAM J. Numer. Anal. 60, No. 4, 2069-2098 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 65M85 PDF BibTeX XML Cite \textit{Y. Lou} and \textit{C. Lehrenfeld}, SIAM J. Numer. Anal. 60, No. 4, 2069--2098 (2022; Zbl 1501.65076) Full Text: DOI arXiv
Karageorghis, Andreas; Noorizadegan, Amir; Chen, C. S. Fictitious centre RBF method for high order BVPs in multiply connected domains. (English) Zbl 07443214 Appl. Math. Lett. 125, Article ID 107711, 6 p. (2022). MSC: 65N35 76A99 76M99 65Z05 65N85 PDF BibTeX XML Cite \textit{A. Karageorghis} et al., Appl. Math. Lett. 125, Article ID 107711, 6 p. (2022; Zbl 07443214) Full Text: DOI
Kirchhart, Matthias On particles and splines in bounded domains. (English) Zbl 1490.65229 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 301-321 (2021). MSC: 65M75 65M85 65D07 65D32 PDF BibTeX XML Cite \textit{M. Kirchhart}, ESAIM, Math. Model. Numer. Anal. 55, 301--321 (2021; Zbl 1490.65229) Full Text: DOI arXiv
Gavrilyuk, I. P.; Makarov, V. L. Method of fictitious domains and homotopy as a new alternative to multidimensional partial differential equations in domains of any shape. (English. Ukrainian original) Zbl 1453.65434 Ukr. Math. J. 72, No. 2, 211-231 (2020); translation from Ukr. Mat. Zh. 72, No. 2, 191-208 (2020). Reviewer: Mohammed Kaabar (Gelugor) MSC: 65N99 65N85 65N50 65N12 PDF BibTeX XML Cite \textit{I. P. Gavrilyuk} and \textit{V. L. Makarov}, Ukr. Math. J. 72, No. 2, 211--231 (2020; Zbl 1453.65434); translation from Ukr. Mat. Zh. 72, No. 2, 191--208 (2020) Full Text: DOI
Repin, Sergey I.; Sauter, Stefan A. Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. (English) Zbl 1481.35011 EMS Tracts in Mathematics 33. Berlin: European Mathematical Society (EMS) (ISBN 978-3-03719-206-1/hbk; 978-3-03719-706-6/ebook). xvi, 317 p. (2020). Reviewer: Marcus Waurick (Freiberg) MSC: 35-02 35J20 35J50 35J60 35J88 49M29 65N15 65N85 74K20 35A35 35B27 PDF BibTeX XML Cite \textit{S. I. Repin} and \textit{S. A. Sauter}, Accuracy of mathematical models. Dimension reduction, homogenization, and simplification. Berlin: European Mathematical Society (EMS) (2020; Zbl 1481.35011) Full Text: DOI
Schumaker, Larry L. Solving elliptic PDE’s on domains with curved boundaries with an immersed penalized boundary method. (English) Zbl 1428.65094 J. Sci. Comput. 80, No. 3, 1369-1394 (2019). MSC: 65N30 65D07 65N85 35J25 35J05 PDF BibTeX XML Cite \textit{L. L. Schumaker}, J. Sci. Comput. 80, No. 3, 1369--1394 (2019; Zbl 1428.65094) Full Text: DOI
Lehrenfeld, Christoph; Olshanskii, Maxim An Eulerian finite element method for PDEs in time-dependent domains. (English) Zbl 1422.65223 ESAIM, Math. Model. Numer. Anal. 53, No. 2, 585-614 (2019). MSC: 65M12 65M60 65M85 65M06 65M15 PDF BibTeX XML Cite \textit{C. Lehrenfeld} and \textit{M. Olshanskii}, ESAIM, Math. Model. Numer. Anal. 53, No. 2, 585--614 (2019; Zbl 1422.65223) Full Text: DOI arXiv
Kirchhart, Matthias; Obi, Shinnosuke A smooth partition of unity finite element method for vortex particle regularization. (English) Zbl 1422.65392 SIAM J. Sci. Comput. 39, No. 5, A2345-A2364 (2017). MSC: 65N30 65N12 65N15 65N75 65N80 65N85 PDF BibTeX XML Cite \textit{M. Kirchhart} and \textit{S. Obi}, SIAM J. Sci. Comput. 39, No. 5, A2345--A2364 (2017; Zbl 1422.65392) Full Text: DOI arXiv
Restrepo, Doriam; Bielak, Jacobo Virtual topography: a fictitious domain approach for analyzing free-surface irregularities in large-scale earthquake ground motion simulation. (English) Zbl 1352.86016 Int. J. Numer. Methods Eng. 100, No. 7, 504-533 (2014). MSC: 86A17 86-08 65M60 65M85 86A15 PDF BibTeX XML Cite \textit{D. Restrepo} and \textit{J. Bielak}, Int. J. Numer. Methods Eng. 100, No. 7, 504--533 (2014; Zbl 1352.86016) Full Text: DOI
Gordon, Andrew; Powell, Catherine E. A preconditioner for fictitious domain formulations of elliptic PDEs on uncertain parameterized domains. (English) Zbl 1307.65010 SIAM/ASA J. Uncertain. Quantif. 2, 622-646 (2014). MSC: 65C30 60H15 60H35 35R60 65N85 65F08 65N30 65N55 PDF BibTeX XML Cite \textit{A. Gordon} and \textit{C. E. Powell}, SIAM/ASA J. Uncertain. Quantif. 2, 622--646 (2014; Zbl 1307.65010) Full Text: DOI Link
Wang, Liqun; Shi, Liwei Numerical method for solving matrix coefficient elliptic equation on irregular domains with sharp-edged boundaries. (English) Zbl 1292.65129 Adv. Numer. Anal. 2013, Article ID 967342, 10 p. (2013). MSC: 65N30 35J25 65N50 65Y20 65N12 65N15 PDF BibTeX XML Cite \textit{L. Wang} and \textit{L. Shi}, Adv. Numer. Anal. 2013, Article ID 967342, 10 p. (2013; Zbl 1292.65129) Full Text: DOI
Sarthou, A.; Vincent, S.; Caltagirone, J. P. A second-order curvilinear to Cartesian transformation of immersed interfaces and boundaries. Application to fictitious domains and multiphase flows. (English) Zbl 1431.76105 Comput. Fluids 46, No. 1, 422-428 (2011). MSC: 76M99 65M85 76T30 PDF BibTeX XML Cite \textit{A. Sarthou} et al., Comput. Fluids 46, No. 1, 422--428 (2011; Zbl 1431.76105) Full Text: DOI HAL
Van Loon, R. Towards computational modelling of aortic stenosis. (English) Zbl 1183.92051 Int. J. Numer. Methods Biomed. Eng. 26, No. 3-4, 405-420 (2010). MSC: 92C50 92C35 92-08 PDF BibTeX XML Cite \textit{R. Van Loon}, Int. J. Numer. Methods Biomed. Eng. 26, No. 3--4, 405--420 (2010; Zbl 1183.92051) Full Text: DOI
Mai-Duy, N.; See, H.; Tran-Cong, T. A spectral collocation technique based on integrated Chebyshev polynomials for biharmonic problems in irregular domains. (English) Zbl 1167.65454 Appl. Math. Modelling 33, No. 1, 284-299 (2009). MSC: 65N35 PDF BibTeX XML Cite \textit{N. Mai-Duy} et al., Appl. Math. Modelling 33, No. 1, 284--299 (2009; Zbl 1167.65454) Full Text: DOI Link
Lacanette, Delphine; Vincent, Stéphane; Sarthou, Arthur; Malaurent, Philippe; Caltagirone, Jean-Paul An Eulerian/Lagrangian method for the numerical simulation of incompressible convection flows interacting with complex obstacles: application to the natural convection in the Lascaux cave. (English) Zbl 1167.80345 Int. J. Heat Mass Transfer 52, No. 11-12, 2528-2542 (2009). MSC: 80A20 76R10 76S05 76D05 76M12 PDF BibTeX XML Cite \textit{D. Lacanette} et al., Int. J. Heat Mass Transfer 52, No. 11--12, 2528--2542 (2009; Zbl 1167.80345) Full Text: DOI
Pagano, S.; Alart, P. Self-contact and fictitious domain using a difference convex approach. (English) Zbl 1195.74127 Int. J. Numer. Methods Eng. 75, No. 1, 29-42 (2008). MSC: 74M15 74K99 PDF BibTeX XML Cite \textit{S. Pagano} and \textit{P. Alart}, Int. J. Numer. Methods Eng. 75, No. 1, 29--42 (2008; Zbl 1195.74127) Full Text: DOI
Diniz dos Santos, N.; Gerbeau, J.-F.; Bourgat, J.-F. A partitioned fluid-structure algorithm for elastic thin valves with contact. (English) Zbl 1194.74383 Comput. Methods Appl. Mech. Eng. 197, No. 19-20, 1750-1761 (2008). MSC: 74S05 74F10 76M10 65M85 65M60 74K25 76D05 76Z05 PDF BibTeX XML Cite \textit{N. Diniz dos Santos} et al., Comput. Methods Appl. Mech. Eng. 197, No. 19--20, 1750--1761 (2008; Zbl 1194.74383) Full Text: DOI
Vos, P. E. J.; van Loon, R.; Sherwin, S. J. A comparison of fictitious domain methods appropriate for spectral/\(hp\) element discretisations. (English) Zbl 1158.76357 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2275-2289 (2008). MSC: 76M10 76M22 74F10 PDF BibTeX XML Cite \textit{P. E. J. Vos} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2275--2289 (2008; Zbl 1158.76357) Full Text: DOI
Mai-Duy, N.; See, H.; Tran-Cong, T. An integral-collocation-based fictitious-domain technique for solving elliptic problems. (English) Zbl 1156.65096 Commun. Numer. Methods Eng. 24, No. 11, 1291-1314 (2008). MSC: 65N35 35J25 PDF BibTeX XML Cite \textit{N. Mai-Duy} et al., Commun. Numer. Methods Eng. 24, No. 11, 1291--1314 (2008; Zbl 1156.65096) Full Text: DOI Link
Canuto, Claudio; Kozubek, Tomas A fictitious domain approach to the numerical solution of PDEs in stochastic domains. (English) Zbl 1126.65004 Numer. Math. 107, No. 2, 257-293 (2007). Reviewer: Henri Schurz (Carbondale) MSC: 65C30 65N12 60H15 60H30 65N30 65N35 60H35 35J05 35R60 PDF BibTeX XML Cite \textit{C. Canuto} and \textit{T. Kozubek}, Numer. Math. 107, No. 2, 257--293 (2007; Zbl 1126.65004) Full Text: DOI
Sazhenyuk, Volodymyr S.; Garkusha, Vasil’ I.; Ryzhenko, Andrij I. Application of the method of penalty and the method of fictitious domains for second order parabolic variational inequalities with restriction inside the domain. (Ukrainian. English summary) Zbl 1142.65371 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2006, No. 4, 211-215 (2006). MSC: 65K10 49J40 49M30 PDF BibTeX XML Cite \textit{V. S. Sazhenyuk} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2006, No. 4, 211--215 (2006; Zbl 1142.65371)
Baccou, Jean; Liandrat, Jacques Definition and analysis of a wavelet/fictitious domain solver for the 2D-heat equation on a general domain. (English) Zbl 1103.65105 Math. Models Methods Appl. Sci. 16, No. 6, 819-845 (2006). Reviewer: Kai Schneider (Marseille) MSC: 65M60 35K05 65T60 65M15 PDF BibTeX XML Cite \textit{J. Baccou} and \textit{J. Liandrat}, Math. Models Methods Appl. Sci. 16, No. 6, 819--845 (2006; Zbl 1103.65105) Full Text: DOI
van Loon, Raoul; Anderson, Patrick D.; Baaijens, Frank P. T.; van de Vosse, Frans N. A three-dimensional fluid-structure interaction method for heart valve modelling. (English) Zbl 1173.76319 C. R., Méc., Acad. Sci. Paris 333, No. 12, 856-866 (2005). MSC: 76F05 92C35 PDF BibTeX XML Cite \textit{R. van Loon} et al., C. R., Méc., Acad. Sci. Paris 333, No. 12, 856--866 (2005; Zbl 1173.76319) Full Text: DOI
Jazar, Mustapha; Younan, Steve Numerical study of an alternative method of fictitious domains technique applied to outside domain wave equations. (English) Zbl 1084.65080 Int. J. Inf. Syst. Sci. 1, No. 2, 150-161 (2005). MSC: 65M06 65M12 35L05 PDF BibTeX XML Cite \textit{M. Jazar} and \textit{S. Younan}, Int. J. Inf. Syst. Sci. 1, No. 2, 150--161 (2005; Zbl 1084.65080)
Babuška, Ivo; Podnos, Eugene G.; Rodin, Gregory J. New fictitious domain methods: formulation and analysis. (English) Zbl 1107.65102 Math. Models Methods Appl. Sci. 15, No. 10, 1575-1594 (2005). Reviewer: Jialin Hong (Beijing) MSC: 65N30 35J25 PDF BibTeX XML Cite \textit{I. Babuška} et al., Math. Models Methods Appl. Sci. 15, No. 10, 1575--1594 (2005; Zbl 1107.65102) Full Text: DOI
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
Vojtsekhovs’kyj, Sergij O.; Vojtsekhovs’ka, Tetyana G. On estimate of the rate of convergence of difference schemes for the second order elliptic equations in domains of arbitrary form. (Ukrainian. English summary) Zbl 1064.65535 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 3, 177-182 (2004). MSC: 65N06 65N12 35J25 65N15 PDF BibTeX XML Cite \textit{S. O. Vojtsekhovs'kyj} and \textit{T. G. Vojtsekhovs'ka}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 3, 177--182 (2004; Zbl 1064.65535)
Vojtsekhovs’kyj, Sergij O. On estimate of the rate of convergence of difference schemes of the method of fictitious domains for second order elliptic equations. (Ukrainian. English summary) Zbl 1063.65577 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 2, 194-198 (2004). MSC: 65N12 65N06 35J25 PDF BibTeX XML Cite \textit{S. O. Vojtsekhovs'kyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 2, 194--198 (2004; Zbl 1063.65577)
Vojtsekhovs’kyj, Sergij O. On estimate of the rate of convergence of difference schemes of the method of fictitious domains for eigenfunctions. (Ukrainian. English summary) Zbl 1064.65540 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 1, 176-183 (2004). MSC: 65N25 65N06 65N12 35P15 35J05 PDF BibTeX XML Cite \textit{S. O. Vojtsekhovs'kyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2004, No. 1, 176--183 (2004; Zbl 1064.65540)
Premrov, Miroslav; Špacapan, Igor Solving exterior problems of wave propagation based on an iterative variation of local DtN operators. (English) Zbl 1288.76065 Appl. Math. Modelling 28, No. 3, 291-304 (2004). MSC: 76M25 76W05 76D33 PDF BibTeX XML Cite \textit{M. Premrov} and \textit{I. Špacapan}, Appl. Math. Modelling 28, No. 3, 291--304 (2004; Zbl 1288.76065) Full Text: DOI
Vojtsekhovskyj, Sergij O. On estimating the rate of convergence of difference schemes in eigenvalue problem for Helmholtz operator in domains of arbitrary form. (Ukrainian. English summary) Zbl 1064.65538 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 2, 127-131 (2003). MSC: 65N25 35P15 35J05 65N06 PDF BibTeX XML Cite \textit{S. O. Vojtsekhovskyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2003, No. 2, 127--131 (2003; Zbl 1064.65538)
Otelbaev, M.; Smagulov, Sh. On a new method for approximate solutions of boundary value problems in an arbitrary domain. (English. Russian original) Zbl 1046.65097 Dokl. Math. 63, No. 3, 364-367 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 4, 452-455 (2001). MSC: 65N30 35J65 PDF BibTeX XML Cite \textit{M. Otelbaev} and \textit{Sh. Smagulov}, Dokl. Math. 63, No. 3, 452--455 (2001; Zbl 1046.65097); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 378, No. 4, 452--455 (2001)
Bakhvalov, N. S.; Bogachev, K. Yu.; Metr, J. F. An efficient algorithm for stiff elliptic problems with applications to the method of fictitious domains. (English. Russian original) Zbl 0970.65121 Comput. Math. Math. Phys. 39, No. 6, 884-896 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 6, 919-931 (1999). MSC: 65N30 65N12 35J25 PDF BibTeX XML Cite \textit{N. S. Bakhvalov} et al., Comput. Math. Math. Phys. 39, No. 6, 884--896 (1999; Zbl 0970.65121); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 6, 919--931 (1999)
Skopetskij, V. V.; Lyashko, S. I.; Voytsekhovskij, S. A. An approximate solution of the problem of optimal control of elliptic systems in domains of arbitrary form. (English. Russian original) Zbl 0963.49022 Cybern. Syst. Anal. 35, No. 6, 847-852 (1999); translation from Kibern. Sist. Anal. 1999, No. 6, 3-8 (1999). MSC: 49M25 65N30 PDF BibTeX XML Cite \textit{V. V. Skopetskij} et al., Cybern. Syst. Anal. 35, No. 6, 847--852 (1999; Zbl 0963.49022); translation from Kibern. Sist. Anal. 1999, No. 6, 3--8 (1999) Full Text: DOI
Lyashko, S. I.; Vojtsehivs’kyj, S. O.; Garkusha, V. I. Solution of a certain class of problems of optimal control theory in domains of an arbitrary form. (English. Ukrainian original) Zbl 0976.49002 J. Math. Sci., New York 107, No. 2, 3764-3775 (2001); translation from Zh. Obchysl. Prykl. Mat. 83, No. 1, 71-82 (1998). Reviewer: A.D.Borisenko (Kyïv) MSC: 49J20 93C20 PDF BibTeX XML Cite \textit{S. I. Lyashko} et al., Zh. Obchysl. Prykl. Mat. 83, No. 1, 71--82 (1998; Zbl 0976.49002); translation from Zh. Obchysl. Prykl. Mat. 83, No. 1, 71--82 (1998)
Vojtsekhovs’kyj, S. O. Estimate of the convergence rate of a difference scheme for an elliptic operator of the fourth order in a domain of arbitrary form. (Ukrainian. English summary) Zbl 0962.65089 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1998, No. 1, 149-154 (1998). Reviewer: A.D.Borisenko (Kyïv) MSC: 65N12 65N06 35J40 PDF BibTeX XML Cite \textit{S. O. Vojtsekhovs'kyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1998, No. 1, 149--154 (1998; Zbl 0962.65089)
Bespalov, A. New fictitious domain approach for numerical solution of the 3D electromagnetic scattering problem using Cartesian meshes. (English) Zbl 0924.65120 El Dabaghi, F. (ed.) et al., Approximations and numerical methods for the solution of Maxwell’s equations. Proceedings of the 3rd international conference held at the University of Oxford, GB, April 1995. Oxford: Clarendon Press. Inst. Math. Appl. Conf. Ser., New Ser. 65, 81-112 (1998). MSC: 65Z05 35J05 35Q60 78M25 78A45 65N55 PDF BibTeX XML Cite \textit{A. Bespalov}, in: Approximations and numerical methods for the solution of Maxwell's equations. Proceedings of the 3rd international conference held at the University of Oxford, GB, April 1995. Oxford: Clarendon Press. 81--112 (1998; Zbl 0924.65120)
Astrakhantsev, G. P.; Rukhovets, L. A. Fictitious component method of solving the schemes of the finite element method for elliptic boundary value problems with nonlocal boundary conditions in multiply connected domains. (English) Zbl 0927.65132 Russ. J. Numer. Anal. Math. Model. 13, No. 2, 93-105 (1998). Reviewer: Myron Sussman (Bethel Park) MSC: 65N30 65F10 35J25 65N12 65F35 PDF BibTeX XML Cite \textit{G. P. Astrakhantsev} and \textit{L. A. Rukhovets}, Russ. J. Numer. Anal. Math. Model. 13, No. 2, 93--105 (1998; Zbl 0927.65132) Full Text: DOI
Vojtsekhovskyj, S. A. Estimate of the convergence rate of a difference scheme for the Helmholtz equation in domains of arbitrary form. (Ukrainian) Zbl 0933.65126 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1996, No. 2, 115-120 (1996). Reviewer: O.A.Voina (Kyïv) MSC: 65N12 35J05 65N06 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskyj}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 1996, No. 2, 115--120 (1996; Zbl 0933.65126)
Nepomnyashchikh, S. V. Preconditioning operators for elliptic problems with singularities in coefficients. (Russian. English summary) Zbl 0917.65094 Prepr., Vychisl. Tsentr Ross. Akad. Nauk Sib. Otd. 1995, No. 1035, 1-15 (1995). MSC: 65N55 65F10 65F35 65N06 35J25 35R05 PDF BibTeX XML Cite \textit{S. V. Nepomnyashchikh}, Prepr., Vychisl. Tsentr Ross. Akad. Nauk Sib. Otd. 1995, No. 1035, 1--15 (1995; Zbl 0917.65094)
Konovalov, A. N. Problems of multiphase fluid filtration. Transl. from the Russian by L. A. Ulyankina. (English) Zbl 0837.76002 Singapore: World Scientific. xiv, 173 p. (1994). Reviewer: O.Titow (Berlin) MSC: 76-02 76S05 35Q35 PDF BibTeX XML Cite \textit{A. N. Konovalov}, Problems of multiphase fluid filtration. Transl. from the Russian by L. A. Ulyankina. Singapore: World Scientific (1994; Zbl 0837.76002)
Quarteroni, Alfio Mathematical aspects of domain decomposition methods. (English) Zbl 0815.65125 Joseph, A. (ed.) et al., First European congress of mathematics (ECM), Paris, France, July 6-10, 1992. Volume II: Invited lectures (Part 2). Basel: Birkhäuser. Prog. Math. 120, 355-379 (1994). Reviewer: C.A.De Moura (Fortaleza) MSC: 65N55 65-02 65N30 65F10 35J25 PDF BibTeX XML Cite \textit{A. Quarteroni}, Prog. Math. 120, 355--379 (1994; Zbl 0815.65125)
Evans, David J. (ed.) Preconditioned iterative methods. Reprints. (English) Zbl 0832.65025 Topics in Computer Mathematics. 4. Lausanne: Gordon and Breach. xi, 491 p. (1994). Reviewer: E.D’yakonov (Moskva) MSC: 65F10 65N22 65-06 65F35 65N55 00B15 00B60 PDF BibTeX XML Cite \textit{D. J. Evans} (ed.), Preconditioned iterative methods. Reprints. Lausanne: Gordon and Breach (1994; Zbl 0832.65025)
Voĭtsekhovskiĭ, S. A. An estimate for the convergence rate of difference schemes for second-order elliptic equations in domains of arbitrary shape. (English. Russian original) Zbl 0839.65108 J. Math. Sci., New York 77, No. 5, 3406-3409 (1995). MSC: 65N06 65N12 65N15 35J25 PDF BibTeX XML Cite \textit{S. A. Voĭtsekhovskiĭ}, Obchisl. Prikl. Mat. 77, 12--18 (1993; Zbl 0839.65108) Full Text: DOI
Vabishchevich, P. N.; Iliev, O. P. Fixed grid numerical computations for the two-dimensional crystallization problem with regard to the convection in melt. (English. Russian original) Zbl 0829.76060 Mosc. Univ. Comput. Math. Cybern. 1993, No. 2, 6-14 (1993); translation from Vestn. Mosk. Univ., Ser. XV 1993, No. 2, 8-18 (1993). MSC: 76M20 76T99 80A22 PDF BibTeX XML Cite \textit{P. N. Vabishchevich} and \textit{O. P. Iliev}, Mosc. Univ. Comput. Math. Cybern. 1993, No. 2, 1 (1993; Zbl 0829.76060); translation from Vestn. Mosk. Univ., Ser. XV 1993, No. 2, 8--18 (1993)
Vojtsekhovskij, S. A. On an estimation of the convergence rate of difference schemes for second-order elliptic equations in domains of an arbitrary form. (Russian) Zbl 0831.65108 Obchisl. Prikl. Mat. 77, 12-18 (1993). MSC: 65N06 65N12 65N15 35J25 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij}, Obchisl. Prikl. Mat. 77, 12--18 (1993; Zbl 0831.65108)
Bogachev, K. Yu. Iterative methods of solving main boundary value problems for second- order quasilinear elliptic equations in complexly shaped domains. (English) Zbl 0816.65075 Russ. J. Numer. Anal. Math. Model. 7, No. 4, 281-298 (1992). MSC: 65N06 65N12 35J65 PDF BibTeX XML Cite \textit{K. Yu. Bogachev}, Russ. J. Numer. Anal. Math. Model. 7, No. 4, 281--298 (1992; Zbl 0816.65075) Full Text: DOI
Voĭtsekhovskiĭ, S. A. Rate of convergence bounds of difference schemes for fourth-order elliptic equations in regions of arbitrary shape. (English. Russian original) Zbl 0835.65120 J. Math. Sci., New York 71, No. 5, 2632-2636 (1994). MSC: 65N12 65N06 65N15 35J40 PDF BibTeX XML Cite \textit{S. A. Voĭtsekhovskiĭ}, Vychisl. Prikl. Mat. 73, 14--19 (1992; Zbl 0835.65120) Full Text: DOI
Nepomnyaschikh, S. V. Decomposition and fictitious domains methods for elliptic boundary value problems. (English) Zbl 0770.65089 Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 62-72 (1992). MSC: 65N55 65N30 65F10 35J25 PDF BibTeX XML Cite \textit{S. V. Nepomnyaschikh}, in: Fifth international SIAM symposium on domain decomposition methods for partial differential equations, held in Norfolk, Virginia, USA, May 6-8, 1991. Philadelphia, PA: SIAM. 62--72 (1992; Zbl 0770.65089)
Glowinski, Roland; Pan, Tsorng-Whay Error estimates for fictitious domain/penalty/finite element methods. (English) Zbl 0770.65066 Calcolo 29, No. 1-2, 125-141 (1992). Reviewer: S.Filippi (Gießen) MSC: 65N15 65N30 35J25 PDF BibTeX XML Cite \textit{R. Glowinski} and \textit{T.-W. Pan}, Calcolo 29, No. 1--2, 125--141 (1992; Zbl 0770.65066) Full Text: DOI
Bakhvalov, N. S.; Knyazev, A. V. Methods for efficient computation of averaged characteristics of composites of periodic structure of essentially heterogeneous materials. (Russian) Zbl 0753.73009 Vychisl. Protsessy Sist. 8, 52-94 (1991). Reviewer: V.Komkov (Wright-Patterson) MSC: 74E05 74E30 35B27 PDF BibTeX XML Cite \textit{N. S. Bakhvalov} and \textit{A. V. Knyazev}, Vychisl. Prots. Sist. 8, 52--94 (1991; Zbl 0753.73009)
Novichenko, V. N. Method of fictitious regions for one class of fourth-order quasilinear elliptic equations. (English. Russian original) Zbl 0723.65084 J. Sov. Math. 54, No. 2, 766-773 (1991); translation from Vychisl. Prikl. Mat., Kiev 56, 21-29 (1985). MSC: 65N12 35J65 PDF BibTeX XML Cite \textit{V. N. Novichenko}, J. Sov. Math. 54, No. 2, 766--773 (1991; Zbl 0723.65084); translation from Vychisl. Prikl. Mat., Kiev 56, 21--29 (1985) Full Text: DOI
Voitsekhovskii, S. A. Method of fictitious regions for second-order quasilinear elliptic equations. (English. Russian original) Zbl 0723.65083 J. Sov. Math. 54, No. 2, 751-757 (1991); translation from Vychisl. Prikl. Mat., Kiev 56, 7-14 (1985). MSC: 65N12 35J65 PDF BibTeX XML Cite \textit{S. A. Voitsekhovskii}, J. Sov. Math. 54, No. 2, 751--757 (1991; Zbl 0723.65083); translation from Vychisl. Prikl. Mat., Kiev 56, 7--14 (1985) Full Text: DOI
Kobayashi, S. Recent trends in boundary element methods for elastodynamics. (English) Zbl 0763.73067 Theory and applications of boundary element methods, Proc. 2nd China-Jap. Symp., Beijing/China 1988, 1-8 (1990). MSC: 74S15 74-02 PDF BibTeX XML Cite \textit{S. Kobayashi}, in: Theory and applications of boundary element methods. Proceedings of 2nd China-Japan symposium, October 11-15, 1988, Beijing, China. Berlin etc.: Springer-Verlag; Beijing: Tsinghua University Press. 1--8 (1990; Zbl 0763.73067)
Vabishchevich, P. N. Composite adaptive meshes in problems of mathematical physics. (English. Russian original) Zbl 0706.65094 U.S.S.R. Comput. Math. Math. Phys. 29, No. 3, 180-187 (1989); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 6, 902-914 (1989). MSC: 65N06 65M06 65M50 65N50 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, U.S.S.R. Comput. Math. Math. Phys. 29, No. 3, 180--187 (1989; Zbl 0706.65094); translation from Zh. Vychisl. Mat. Mat. Fiz. 29, No. 6, 902--914 (1989) Full Text: DOI
Vabishchevich, P. N. Adaptive grids of composite type in problems of mathematical physics. (Russian) Zbl 0682.65057 Zh. Vychisl. Mat. Mat. Fiz. 29, No. 6, 902-914 (1989). Reviewer: U.Langer MSC: 65N06 65N50 65M06 65N22 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Zh. Vychisl. Mat. Mat. Fiz. 29, No. 6, 902--914 (1989; Zbl 0682.65057)
Vabishchevich, P. N.; Gassiev, R. V. Numerical analysis through algorithms for solving problems of ideal hydrodynamics. (English. Russian original) Zbl 0799.76056 Comput. Math. Model. 2, No. 1, 17-23 (1991); translation from Tikhonov, A. N. (ed.) et al. Numerical methods for the solution of inverse problems of mathematical physics. Work collection, Moskva, 97-105 (1988). MSC: 76M20 76M25 76V05 PDF BibTeX XML Cite \textit{P. N. Vabishchevich} and \textit{R. V. Gassiev}, Comput. Math. Model. 2, No. 1, 17--23 (1988; Zbl 0799.76056); translation from Tikhonov, A. N. (ed.) et al. Numerical methods for the solution of inverse problems of mathematical physics. Work collection, Moskva, 97--105 (1988) Full Text: DOI
Vabishchevich, P. N.; Gassiev, R. V. Numerical algorithms of through computation for solution of problems of ideal hydrodynamics. (Russian) Zbl 0795.76055 Tikhonov, A. N. (ed.) et al., Numerical methods for the solution of inverse problems of mathematical physics. Work collection. Moskva: Izdatel’stvo Moskovskogo Universiteta. 97-105 (1988). Reviewer: O.Titow (Berlin) MSC: 76M20 76M25 76V05 PDF BibTeX XML
Nikiforovskij, S. V.; Sorokin, S. B. Two-sided approximations of eigenvalues in the method of fictitious domains in case of continuation with respect to the lowest coefficient. (Russian) Zbl 0678.65073 Model. Mekh. 2(19), No. 3, 105-115 (1988). Reviewer: T.Reginska MSC: 65N25 PDF BibTeX XML
Vabishchevich, P. N. Difference schemes with through computation for some problems of mathematical physics. (English. Russian original) Zbl 0673.65079 Differ. Equations 24, No. 7, 746-750 (1988); translation from Differ. Uravn. 24, No. 7, 1161-1166 (1988). Reviewer: P.Přikryl MSC: 65Z05 65N06 35R35 35J25 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, Differ. Equations 24, No. 7, 746--750 (1988; Zbl 0673.65079); translation from Differ. Uravn. 24, No. 7, 1161--1166 (1988)
Siganevich, G. L. A variant of the fictitious-domain method. (English. Russian original) Zbl 0671.65082 U.S.S.R. Comput. Math. Math. Phys. 28, No. 2, 134-139 (1988); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 515-523 (1988). MSC: 65N12 65F10 65N06 35J25 PDF BibTeX XML Cite \textit{G. L. Siganevich}, U.S.S.R. Comput. Math. Math. Phys. 28, No. 2, 134--139 (1988; Zbl 0671.65082); translation from Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 515--523 (1988) Full Text: DOI
Siganevich, G. L. On a variant of the method of fictitious grid domains. (Russian) Zbl 0645.65057 Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 515-523 (1988). Reviewer: I.Evzerov MSC: 65N12 65N06 35J25 PDF BibTeX XML Cite \textit{G. L. Siganevich}, Zh. Vychisl. Mat. Mat. Fiz. 28, No. 4, 515--523 (1988; Zbl 0645.65057)
Achenbach, J. D.; Kechter, G. E.; Xu, Y.-L. Off-boundary approach to the boundary element method. (English) Zbl 0635.73039 Comput. Methods Appl. Mech. Eng. 70, No. 2, 191-202 (1988). Reviewer: J.D.Achenbach MSC: 74J99 74S99 74J20 74E05 PDF BibTeX XML Cite \textit{J. D. Achenbach} et al., Comput. Methods Appl. Mech. Eng. 70, No. 2, 191--202 (1988; Zbl 0635.73039) Full Text: DOI
Jovanović, Boško S. On the method of fictitious domains for a fourth order quasilinear elliptic equation. (Sur la méthode des domaines fictifs pour une équation elliptique quasilinéaire du quatrième ordre.) (French) Zbl 0668.65068 Publ. Inst. Math., Nouv. Sér. 42(56), 167-173 (1987). Reviewer: R.D.Lazarov MSC: 65N12 65N06 35J65 65N15 PDF BibTeX XML Cite \textit{B. S. Jovanović}, Publ. Inst. Math., Nouv. Sér. 42(56), 167--173 (1987; Zbl 0668.65068) Full Text: EuDML
Vabishchevich, P. N.; Gassiev, R. V.; Pulatov, P. A. Numerical realization of the method of fictitious domains for elliptic equations on the base of the alternately triangular method. (Russian) Zbl 0636.65111 Zh. Vychisl. Mat. Mat. Fiz. 27, No. 9, 1381-1387 (1987). Reviewer: P.-L.Lions MSC: 65N30 35J05 PDF BibTeX XML Cite \textit{P. N. Vabishchevich} et al., Zh. Vychisl. Mat. Mat. Fiz. 27, No. 9, 1381--1387 (1987; Zbl 0636.65111)
Marchuk, G. I.; Kuznetsov, Yu. A.; Matsokin, A. M. Fictitious domain and domain decomposition methods. (English) Zbl 0825.65027 Sov. J. Numer. Anal. Math. Model. 1, No. 1, 3-35 (1986). MSC: 65F10 65N55 PDF BibTeX XML Cite \textit{G. I. Marchuk} et al., Sov. J. Numer. Anal. Math. Model. 1, No. 1, 3--35 (1986; Zbl 0825.65027)
Vojtsekhovskij, S. A. Fictitious region method for one class of nonlinear boundary-value problems. (English. Russian original) Zbl 0777.65060 J. Sov. Math. 58, No. 5, 401-403 (1992); translation from Vychisl. Prikl. Mat., Kiev 58, 16-19 (1986). MSC: 65N12 35J65 PDF BibTeX XML
Vojtsekhovskij, S. A. The fictitious domain method. (English. Russian original) Zbl 0779.65069 J. Sov. Math. 60, No. 3, 1437-1441 (1992); translation from Vychisl. Prikl. Mat., Kiev 59, 10-15 (1986). MSC: 65N12 35J05 35J65 PDF BibTeX XML
Vojtsekhovskij, S. A. The method of fictitious domains. (Russian) Zbl 0634.65086 Vychisl. Prikl. Mat., Kiev 59, 10-15 (1986). MSC: 65N12 35J05 35J65 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij}, Vychisl. Prikl. Mat. 59, 10--15 (1986; Zbl 0634.65086)
Vojtsekhovskij, S. A. The method of fictitious domains for a class of nonlinear boundary value problems. (Russian) Zbl 0634.65085 Vychisl. Prikl. Mat., Kiev 58, 16-19 (1986). MSC: 65N12 35J65 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij}, Vychisl. Prikl. Mat. 58, 16--19 (1986; Zbl 0634.65085)
Vojtsekhovskij, S. A.; Gavrilyuk, I. P.; Sazhenyuk, V. S. Estimates of the rate of convergence of difference schemes for second order elliptic variational inequalities in an arbitrary domain. (English) Zbl 0622.65051 U.S.S.R. Comput. Math. Math. Phys. 26, No. 3, 113-120 (1986). MSC: 65K10 49J40 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij} et al., U.S.S.R. Comput. Math. Math. Phys. 26, No. 3, 113--120 (1986; Zbl 0622.65051) Full Text: DOI
Vojtsekhovskij, S. A.; Gavrilyuk, I. P.; Sazhenyuk, V. S. Estimates of the rate of convergence of difference schemes for second order elliptic variational inequalities in an arbitrary domain. (Russian) Zbl 0607.65038 Zh. Vychisl. Mat. Mat. Fiz. 26, No. 6, 827-836 (1986). Reviewer: D.Fagé MSC: 65K10 49J40 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij} et al., Zh. Vychisl. Mat. Mat. Fiz. 26, No. 6, 827--836 (1986; Zbl 0607.65038)
Novichenko, V. N. Fictitious region method for quasilinear elliptic equations of second order. (English. Russian original) Zbl 0779.65067 J. Sov. Math. 58, No. 3, 221-224 (1992); translation from Vychisl. Prikl. Mat., Kiev 57, 39-42 (1985). MSC: 65N12 35J65 PDF BibTeX XML Full Text: DOI
Novichenko, V. N. A variant of the method of fictitious domain for second-order quasilinear elliptic equations. (Russian) Zbl 0634.65089 Vychisl. Prikl. Mat., Kiev 57, 39-42 (1985). MSC: 65N12 35J65 PDF BibTeX XML Cite \textit{V. N. Novichenko}, Vychisl. Prikl. Mat. 57, 39--42 (1985; Zbl 0634.65089)
Novichenko, V. N. The method of fictitious domains for a class of fourth-order quasilinear elliptic equations. (Russian) Zbl 0634.65088 Vychisl. Prikl. Mat., Kiev 56, 21-29 (1985). MSC: 65N12 35J65 PDF BibTeX XML Cite \textit{V. N. Novichenko}, Vychisl. Prikl. Mat. 56, 21--29 (1985; Zbl 0634.65088)
Vojtsekhovskij, S. A. The method of fictitious domains for second order quasilinear elliptic equations. (Russian) Zbl 0634.65083 Vychisl. Prikl. Mat., Kiev 56, 7-14 (1985). MSC: 65N12 35J65 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij}, Vychisl. Prikl. Mat. 56, 7--14 (1985; Zbl 0634.65083)
Romanova, L. N. Asymptotic stability in the method of fictitious domains. (Russian) Zbl 0576.65100 Chislennye Metody Mekh. Sploshnoj Sredy 16, No. 2, 96-102 (1985). MSC: 65N12 35G15 PDF BibTeX XML
Konovalov, A. N. The fictitious regions method of high order accuracy. (English) Zbl 0609.65084 Numerical problems, France-Italy-URSS 6th Joint Symp., INRIA, Rocquencourt/France 1983, 145-154 (1984). Reviewer: I.Aganović MSC: 65Z05 65N15 PDF BibTeX XML
Vabishchevich, P. N. Numerical solution of boundary value problems for fourth order elliptic equations. (English. Russian original) Zbl 0598.65079 U.S.S.R. Comput. Math. Math. Phys. 24, No. 4, 143-149 (1984); translation from Zh. Vychisl. Mat. Mat. Fiz. 24, No. 8, 1196-1206 (1984). Reviewer: I.Aganović MSC: 65N22 65F10 31A30 35J40 PDF BibTeX XML Cite \textit{P. N. Vabishchevich}, U.S.S.R. Comput. Math. Math. Phys. 24, No. 4, 143--149 (1984; Zbl 0598.65079); translation from Zh. Vychisl. Mat. Mat. Fiz. 24, No. 8, 1196--1206 (1984) Full Text: DOI
Vojtsekhovskij, S. A.; Gavrilyuk, I. P.; Makarov, V. L. On the method of fictitious domains for the solution of problems of mathematical physics in domains of complicated form and its realization. II. (Russian) Zbl 0557.65081 Vychisl. Prikl. Mat., Kiev 52, 3-10 (1984). MSC: 65Z05 35Q99 65N50 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij} et al., Vychisl. Prikl. Mat. 52, 3--10 (1984; Zbl 0557.65081)
Vojtsekhovskij, S. A. Approximate solution of the Neumann problem for a second order elliptic equation in domains of arbitrary form. (Russian) Zbl 0557.65061 Vychisl. Prikl. Mat., Kiev 53, 52-57 (1984). MSC: 65N12 35J25 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij}, Vychisl. Prikl. Mat. 53, 52--57 (1984; Zbl 0557.65061)
Vojtsekhovskij, S. A. The method of fictitious domains for fourth order quasilinear equations. (Russian) Zbl 0628.65088 Vychisl. Prikl. Mat., Kiev 51, 42-50 (1983). MSC: 65N12 35J65 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij}, Vychisl. Prikl. Mat. 51, 42--50 (1983; Zbl 0628.65088)
Korobitsina, Zh. L. Method of fictitious domains for the two-phase filtration of immiscible incompressible fluids. (Russian) Zbl 0531.76103 Din. Sploshnoj Sredy 60, 70-91 (1983). MSC: 76S05 76M99 76T99 PDF BibTeX XML Cite \textit{Zh. L. Korobitsina}, Din. Splosh. Sredy 60, 70--91 (1983; Zbl 0531.76103)
Bugrov, A. N.; Korobitsyna, Zh. L. On the asymptotic behaviour of solutions of initial-boundary value problems in the method of fictitious domains. (Russian) Zbl 0592.65083 Chislennye Metody Mekh. Sploshnoj Sredy 13, No. 3, 3-12 (1982). MSC: 65Z05 35K05 35Q30 76D05 76S05 PDF BibTeX XML
Bugrov, A. N.; Korobitsyna, Zh. L. Foundation of the method of fictitious domains for the contact problem of elasticity theory. (Russian) Zbl 0556.73095 Chislennye Metody Mekh. Sploshnoj Sredy 13, No. 2, 7-13 (1982). MSC: 74A55 74M15 PDF BibTeX XML
Vojtsekhovskij, S. A. The method of fictitious domains in eigenvalue problems for a fourth order elliptic operator. (Russian) Zbl 0525.65075 Vychisl. Prikl. Mat., Kiev 48, 45-53 (1982). MSC: 65N25 65N15 35P15 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij}, Vychisl. Prikl. Mat. 48, 45--53 (1982; Zbl 0525.65075)
Vojtsekhovskij, S. A.; Gavrilyuk, I. P.; Makarov, V. L. Convergence of difference solutions to generalized solutions of the Dirichlet problem for the Helmholtz equation in an arbitrary domain. (English. Russian original) Zbl 0525.65068 Sov. Math., Dokl. 26, 532-535 (1982); translation from Dokl. Akad. Nauk SSSR 267, 34-37 (1982). MSC: 65N12 35J05 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij} et al., Sov. Math., Dokl. 26, 532--535 (1982; Zbl 0525.65068); translation from Dokl. Akad. Nauk SSSR 267, 34--37 (1982)
Vojtsekhovskij, S. A. The method of fictitious domains for second order parabolic equations. (Russian) Zbl 0525.65067 Vychisl. Prikl. Mat., Kiev 47, 35-42 (1982). MSC: 65N12 65N15 35K15 PDF BibTeX XML Cite \textit{S. A. Vojtsekhovskij}, Vychisl. Prikl. Mat. 47, 35--42 (1982; Zbl 0525.65067)
Orunkhanov, M. K.; Smagulov, Sh. On the theory of the method of fictitious domains. (Russian) Zbl 0518.76020 Chislennye Metody Mekh. Sploshnoj Sredy 13, No. 2, 125-137 (1982). MSC: 76D05 76M99 65N99 PDF BibTeX XML
Rukhovets, L. A. The method of fictitious domains for a boundary value problem for elliptic equations. (Russian) Zbl 0622.76047 Approximation and interpolation methods, Mater. IV. All-Union Conf., Novosibirsk 1981, 138-143 (1981). MSC: 76D99 PDF BibTeX XML
Bugrov, A. N. On two approaches in the method of fictitious domains. (Russian) Zbl 0569.65062 Variational-difference methods in mathematical physics, IV. All-Union Conf. 1980, Novosibirsk 1981, 27-34 (1981). Reviewer: K.Balla MSC: 65L10 34B15 PDF BibTeX XML
Utegenov, K. A justification of the method of fictitious domains for problems of the filtration of two-phase weakly compressible liquid. (Russian) Zbl 0554.76079 Differential equations and their applications, Collect. Artic., Alma-Ata 1981, 27-30 (1981). Reviewer: R.Farzan MSC: 76T99 76S05 PDF BibTeX XML
Saul’ev, V. K.; Yasnov, A. E. On a universal program for the solution of three-dimensional boundary value problems. (Russian) Zbl 0536.65088 Mathematical questions of production control, Collect. Artic., Moskva 1981, 41-49 (1981). Reviewer: P.Polcar MSC: 65N99 35J05 PDF BibTeX XML
Nikolaeva, N. I. The justification of the method of fictitious domains in eigenvalue problems with respect to the finite-difference level. (Russian) Zbl 0496.65051 Chislennye Metody Mekh. Sploshnoj Sredy 12, No. 1, 95-109 (1981). MSC: 65N25 65N15 35P15 PDF BibTeX XML
Ivanov, S. A.; Korneev, V. G. The fast Fourier transform method in solving fourth order equations. (English) Zbl 0465.65057 Vestn. Leningr. Univ., Math. 13, 199-205 (1981). MSC: 65N22 65T40 65N12 31A30 35J40 65F10 68Q25 65N06 74K20 74K15 PDF BibTeX XML Cite \textit{S. A. Ivanov} and \textit{V. G. Korneev}, Vestn. Leningr. Univ., Math. 13, 199--205 (1981; Zbl 0465.65057)
Poznyak, L. T. A method of estimating lower bounds for eigenvalues of differential operators by the method of fictitious domains. (English) Zbl 0444.35062 U.S.S.R. Comput. Math. Math. Phys. 19, No. 4, 132-148 (1980). MSC: 35P15 35R20 65N25 35J15 PDF BibTeX XML Cite \textit{L. T. Poznyak}, U.S.S.R. Comput. Math. Math. Phys. 19, No. 4, 132--148 (1980; Zbl 0444.35062) Full Text: DOI
Astrahancev, G. P. Method of fictitious domains for a second-order elliptic equation with natural boundary conditions. (English) Zbl 0394.35028 U.S.S.R. Comput. Math. Math. Phys. 18, No. 1, 114-121 (1978). MSC: 35J25 35J05 35B45 65N12 35A35 PDF BibTeX XML Cite \textit{G. P. Astrahancev}, U.S.S.R. Comput. Math. Math. Phys. 18, No. 1, 114--121 (1978; Zbl 0394.35028) Full Text: DOI