Ewing, R. E.; Margenov, S. D.; Vassilevski, P. S. Preconditioning the biharmonic equation by multilevel iterations. (English) Zbl 1034.65507 Math. Balk., New Ser. 10, No. 1, 121-132 (1996). MSC: 65N06 65N55 65F10 65F35 35J40 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Math. Balk., New Ser. 10, No. 1, 121--132 (1996; Zbl 1034.65507)
Ewing, R. E.; Iliev, O. P.; Margenov, S. D.; Vassilevski, P. S. Numerical study of three multilevel preconditioners for solving \(2D\) unsteady Navier-Stokes equations. (English) Zbl 0851.76047 Comput. Methods Appl. Mech. Eng. 121, No. 1-4, 177-186 (1995). MSC: 76M20 76D05 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Comput. Methods Appl. Mech. Eng. 121, No. 1--4, 177--186 (1995; Zbl 0851.76047) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. (English) Zbl 0840.65124 Numer. Linear Algebra Appl. 1, No. 4, 337-368 (1994). MSC: 65N55 65F10 65F35 65N12 65N50 65N06 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Numer. Linear Algebra Appl. 1, No. 4, 337--368 (1994; Zbl 0840.65124) Full Text: DOI
Ewing, Richard E.; Petrova, Svetozara I.; Vassilevski, Panayot S. Two-level local refinement preconditioners for nonsymmetric and indefinite elliptic problems. (English) Zbl 0814.65041 SIAM J. Sci. Comput. 15, No. 1, 149-163 (1994). Reviewer: V.Korneev (St.Peterburg) MSC: 65F35 65F10 65N12 65N06 65N55 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Sci. Comput. 15, No. 1, 149--163 (1994; Zbl 0814.65041) Full Text: DOI
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S. Domain decomposition type iterative techniques for parabolic problems on locally refined grids. (English) Zbl 0794.65076 SIAM J. Numer. Anal. 30, No. 6, 1537-1557 (1993). Reviewer: T.Roubíček (Praha) MSC: 65M55 65M50 76S05 35K05 35K15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., SIAM J. Numer. Anal. 30, No. 6, 1537--1557 (1993; Zbl 0794.65076) Full Text: DOI
Ewing, Richard E.; Shen, Jian; Vassilevski, Panayot S. Vectorizable preconditioners for mixed finite element solution of second- order elliptic problems. (English) Zbl 0758.65022 Int. J. Comput. Math. 44, No. 1-4, 313-327 (1992). Reviewer: T.C.Mohan (Madras) MSC: 65F10 65N30 65F35 65Y05 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Int. J. Comput. Math. 44, No. 1--4, 313--327 (1992; Zbl 0758.65022) Full Text: DOI
Ewing, Richard E.; Vassilevski, Panayot S. Two-level iterative refinement preconditioners. (English) Zbl 0774.65022 Domain decomposition methods for partial differential equations, Proc. 5th Int. SIAM Symp., Norfolk/VA (USA) 1991, 262-270 (1992). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F35 65F10 65N30 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} and \textit{P. S. Vassilevski}, 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. 262--270 (1992; Zbl 0774.65022)
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Finite difference schemes on grids with local refinement in time and in space for parabolic problems. Optimal order two-grid iterative methods. (English) Zbl 0829.65112 Parallel algorithms for partial differential equations, Proc. 6th GAMM- Semin., Kiel/Ger. 1990, Notes Numer. Fluid Mech. 31, 70-93 (1991). MSC: 65M06 65M50 65F10 65F35 35K15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Notes Numer. Fluid Mech. 31, 70--93 (1991; Zbl 0829.65112)
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. (English) Zbl 0726.65137 Numer. Math. 59, No. 5, 431-452 (1991). MSC: 65N55 65F10 65N22 65N50 35J25 65N30 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Numer. Math. 59, No. 5, 431--452 (1991; Zbl 0726.65137) Full Text: DOI EuDML
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis. (English) Zbl 0724.65093 Math. Comput. 56, No. 194, 437-461 (1991). Reviewer: K.Frischmuth (Rostock) MSC: 65N06 65N15 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Math. Comput. 56, No. 194, 437--461 (1991; Zbl 0724.65093) Full Text: DOI
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. (English) Zbl 0712.65102 Numer. Math. (to appear). Reviewer: R.E.Ewing MSC: 65N55 65F10 65N22 65N50 35J25 65N30 PDFBibTeX XML Full Text: EuDML
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Mixed finite element solutions of second order elliptic problems on grids with regular local refinement. (English) Zbl 0767.65075 Fourth international symposium on domain decomposition methods for partial differential equations, Proc. Symp., Moscow/Russ. 1990, 206-212 (1991). MSC: 65N30 65N50 65F10 35J25 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., 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. 206--212 (1991; Zbl 0767.65075)
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S. Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis. (English) Zbl 0721.65047 Computing 45, No. 3, 193-215 (1990). Reviewer: G.Hedstrom (Livermore) MSC: 65M06 65M50 65M12 35K15 65M15 PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Computing 45, No. 3, 193--215 (1990; Zbl 0721.65047) Full Text: DOI
Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S. Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. (English) Zbl 0719.65024 Preconditioned conjugate gradient methods, Proc. Conf., Nijmegen/Neth. 1989, Lect. Notes Math. 1457, 28-43 (1990). Reviewer: J.Lovíšek (Bratislava) MSC: 65F10 65N30 65F35 35J25 PDFBibTeX XML
Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S. Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. (English) Zbl 0705.65080 Domain decomposition methods for partial differential equations, Proc. 3rd Int. Symp. Houston/TX (USA) 1989, 98-114 (1990). Reviewer: H.P.Dikshit MSC: 65N30 65N50 65N15 35J25 PDFBibTeX XML