Li, Binjie; Xie, Xiaoping BPX preconditioner for nonstandard finite element methods for diffusion problems. (English) Zbl 1337.65026 SIAM J. Numer. Anal. 54, No. 2, 1147-1168 (2016). MSC: 65F08 65N30 35J25 PDFBibTeX XMLCite \textit{B. Li} and \textit{X. Xie}, SIAM J. Numer. Anal. 54, No. 2, 1147--1168 (2016; Zbl 1337.65026) Full Text: DOI arXiv
Kraus, Johannes; Lazarov, Raytcho; Lymbery, Maria; Margenov, Svetozar; Zikatanov, Ludmil Preconditioning heterogeneous \(\boldsymbol{H}(\mathrm{div})\) problems by additive Schur complement approximation and applications. (English) Zbl 1380.65376 SIAM J. Sci. Comput. 38, No. 2, A875-A898 (2016). MSC: 65N30 65F08 65N22 76M10 76S05 65F10 65N20 PDFBibTeX XMLCite \textit{J. Kraus} et al., SIAM J. Sci. Comput. 38, No. 2, A875--A898 (2016; Zbl 1380.65376) Full Text: DOI
Lymbery, M. Robust balanced semi-coarsening multilevel preconditioning of bicubic FEM systems. (English) Zbl 07238882 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 9th international conference, LSSC 2013, Sozopol, Bulgaria, June 3–7, 2013. Revised selected papers. Berlin: Springer. Lect. Notes Comput. Sci. 8353, 628-635 (2014). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Lymbery}, Lect. Notes Comput. Sci. 8353, 628--635 (2014; Zbl 07238882) Full Text: DOI
Yu, Guozhu; Xu, Jinchao; Zikatanov, Ludmil T. Analysis of a two-level method for anisotropic diffusion equations on aligned and nonaligned grids. (English) Zbl 1313.65324 Numer. Linear Algebra Appl. 20, No. 5, 832-851 (2013). Reviewer: Svetozar D. Margenov (Sofia) MSC: 65N55 65N30 35J05 65N50 65N12 PDFBibTeX XMLCite \textit{G. Yu} et al., Numer. Linear Algebra Appl. 20, No. 5, 832--851 (2013; Zbl 1313.65324) Full Text: DOI arXiv
Wang, Feng; Chen, JinRu; Huang, PeiQi A multilevel preconditioner for the C-R FEM for elliptic problems with discontinuous coefficients. (English) Zbl 1306.65178 Sci. China, Math. 55, No. 7, 1513-1526 (2012). MSC: 65F08 65N30 65N55 35R05 35J25 65N12 65F10 PDFBibTeX XMLCite \textit{F. Wang} et al., Sci. China, Math. 55, No. 7, 1513--1526 (2012; Zbl 1306.65178) Full Text: DOI
Lymbery, Maria; Margenov, Svetozar Robust semi-coarsening multilevel preconditioning of biquadratic FEM systems. (English) Zbl 1245.65158 Cent. Eur. J. Math. 10, No. 1, 357-369 (2012). MSC: 65N30 65F08 35J25 65N55 65N50 PDFBibTeX XMLCite \textit{M. Lymbery} and \textit{S. Margenov}, Cent. Eur. J. Math. 10, No. 1, 357--369 (2012; Zbl 1245.65158) Full Text: DOI
Kraus, J. K.; Tomar, S. K. Algebraic multilevel iteration method for lowest order Raviart-Thomas space and applications. (English) Zbl 1235.65130 Int. J. Numer. Methods Eng. 86, No. 10, 1175-1196 (2011). MSC: 65N22 65N30 PDFBibTeX XMLCite \textit{J. K. Kraus} and \textit{S. K. Tomar}, Int. J. Numer. Methods Eng. 86, No. 10, 1175--1196 (2011; Zbl 1235.65130) Full Text: DOI
Boyanova, Petia; Margenov, Svetozar; Neytcheva, Maya Robust AMLI methods for parabolic Crouzeix-Raviart FEM systems. (English) Zbl 1198.65192 J. Comput. Appl. Math. 235, No. 2, 380-390 (2010). MSC: 65M60 PDFBibTeX XMLCite \textit{P. Boyanova} et al., J. Comput. Appl. Math. 235, No. 2, 380--390 (2010; Zbl 1198.65192) Full Text: DOI
Ayuso de Dios, Blanca; Zikatanov, Ludmil Uniformly convergent iterative methods for discontinuous Galerkin discretizations. (English) Zbl 1203.65242 J. Sci. Comput. 40, No. 1-3, 4-36 (2009). MSC: 65N30 65F08 65F10 65N22 PDFBibTeX XMLCite \textit{B. Ayuso de Dios} and \textit{L. Zikatanov}, J. Sci. Comput. 40, No. 1--3, 4--36 (2009; Zbl 1203.65242) Full Text: DOI arXiv
Synka, Josef The effect of a minimum angle condition on the preconditioning of the pivot block arising from 2-level-splittings of Crouzeix-Raviart FE-spaces. (English) Zbl 1229.65201 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 6th international conference, LSSC 2007, Sozopol, Bulgaria, June 5–9, 2007. Revised papers. Berlin: Springer (ISBN 978-3-540-78825-6/pbk). Lecture Notes in Computer Science 4818, 105-112 (2008). MSC: 65N22 65F10 65N30 PDFBibTeX XMLCite \textit{J. Synka}, Lect. Notes Comput. Sci. 4818, 105--112 (2008; Zbl 1229.65201) Full Text: DOI
Blaheta, Radim Application of hierarchical decomposition: Preconditioners and error estimates for conforming and nonconforming FEM. (English) Zbl 1229.65206 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 6th international conference, LSSC 2007, Sozopol, Bulgaria, June 5–9, 2007. Revised papers. Berlin: Springer (ISBN 978-3-540-78825-6/pbk). Lecture Notes in Computer Science 4818, 78-85 (2008). MSC: 65N30 65F10 PDFBibTeX XMLCite \textit{R. Blaheta}, Lect. Notes Comput. Sci. 4818, 78--85 (2008; Zbl 1229.65206) Full Text: DOI
Georgiev, I.; Kraus, J.; Margenov, S. Multilevel algorithms for Rannacher-Turek finite element approximation of 3D elliptic problems. (English) Zbl 1185.65207 Computing 82, No. 4, 217-239 (2008). MSC: 65N30 35J25 65N15 65N50 PDFBibTeX XMLCite \textit{I. Georgiev} et al., Computing 82, No. 4, 217--239 (2008; Zbl 1185.65207) Full Text: DOI