Lu, Peipei; Xu, Xuejun A robust multilevel preconditioner based on a domain decomposition method for the Helmholtz equation. (English) Zbl 1442.65430 J. Sci. Comput. 81, No. 1, 291-311 (2019). MSC: 65N55 35J05 65F10 65F08 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Huiling; Nie, Yufeng Variable V-cycle multigrid preconditioners for the discrete systems from combined hybrid quadrilateral elements. (English) Zbl 1419.65127 Comput. Math. Appl. 76, No. 3, 649-660 (2018). MSC: 65N30 65N55 74B05 65F35 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Yunrong Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jump coefficients. (English) Zbl 1324.65047 Numer. Linear Algebra Appl. 21, No. 1, 24-38 (2014). MSC: 65F08 65N22 65N30 65N55 35J25 35R05 65N12 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Mardal, Kent-Andre; Winther, Ragnar Preconditioning discretizations of systems of partial differential equations. (English) Zbl 1249.65246 Numer. Linear Algebra Appl. 18, No. 1, 1-40 (2011). Reviewer: Tomáš Vejchodský (Praha) MSC: 65N30 65F08 35J05 35Q30 35Q61 35K57 74K20 65K10 49J15 35B25 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Ayuso, Blanca; Zikatanov, Ludmil T. A simple uniformly convergent iterative method for the non-symmetric incomplete interior penalty discontinuous Galerkin discretization. (English) Zbl 1217.65208 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer (ISBN 978-3-642-11303-1/hbk; 978-3-642-11304-8/ebook). Lecture Notes in Computational Science and Engineering 78, 335-342 (2011). MSC: 65N30 65N12 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Rahman, Talal; Xu, Xuejun A multilevel preconditioner for the mortar method for nonconforming \(P_{1}\) finite element. (English) Zbl 1203.65259 ESAIM, Math. Model. Numer. Anal. 43, No. 3, 429-444 (2009). Reviewer: M. Plum (Karlsruhe) MSC: 65N30 65F10 65N55 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Marcinkowski, L.; Rahman, T. Neumann-Neumann algorithms for a mortar Crouzeix-Raviart element for 2nd order elliptic problems. (English) Zbl 1180.65164 BIT 48, No. 3, 607-626 (2008). Reviewer: I. N. Katz (St. Louis) MSC: 65N55 65N30 35J25 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Zhongci; Xu, Xuejun \(V\)-cycle multigrid methods for Wilson nonconforming element. (English) Zbl 0969.65110 Sci. China, Ser. A 43, No. 7, 673-684 (2000). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N55 65F10 65N30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Zhangxin On the convergence of nonnested multigrid methods with nested spaces on coarse grids. (English) Zbl 0974.65099 Numer. Methods Partial Differ. Equations 16, No. 3, 265-284 (2000). Reviewer: R.H.W.Hoppe (München) MSC: 65N12 65N55 35J25 65N30 35J40 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuejun Multilevel methods for Wilson element approximation of elasticity problem. (English) Zbl 0958.74073 Comput. Methods Appl. Mech. Eng. 174, No. 1-2, 191-201 (1999). MSC: 74S05 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuejun; Li, Likang A note on convergence of V-cycle nonconforming multigrid methods. (English) Zbl 0935.65140 Appl. Math. Comput. 104, No. 2-3, 191-206 (1999). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65F10 35J25 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuejun; Li, Likang A \(V\)-cycle multigrid method and additive multilevel preconditioners for the plate bending problem discretized by conforming finite elements. (English) Zbl 0960.74511 Appl. Math. Comput. 93, No. 2-3, 233-258 (1998). MSC: 74S05 74K20 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Vassilevskij, P. S.; Wang, J. Stabilizing the hierarchical basis by approximate wavelets. I: Theory. (English) Zbl 0889.65126 Numer. Linear Algebra Appl. 4, No. 2, 103-126 (1997). Reviewer: K.Najzar (Praha) MSC: 65N55 65N30 65F10 65F35 65N50 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar Preconditioning discrete approximations of the Reissner-Mindlin plate model. (English) Zbl 0877.73060 RAIRO, Modélisation Math. Anal. Numér. 31, No. 4, 517-557 (1997). MSC: 74S05 74K20 65F10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Wang, Junping New convergence estimates for multilevel algorithms for finite-element approximations. (English) Zbl 0808.65129 J. Comput. Appl. Math. 50, No. 1-3, 593-604 (1994). Reviewer: L.S.Ioffe (Haifa) MSC: 65N55 65N30 65N12 35J25 × Cite Format Result Cite Review PDF Full Text: DOI