Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song A multi-stage preconditioner for the black oil model and its OpenMP implementation. (English) Zbl 1455.76179 Erhel, Jocelyne (ed.) et al., Domain decomposition methods in science and engineering XXI. Proceedings of the 21st international conference, Inria Rennes Center, France, June 25–29, 2012. Cham: Springer. Lect. Notes Comput. Sci. Eng. 98, 141-153 (2014). MSC: 76S05 65F08 76M12 PDFBibTeX XMLCite \textit{C. Feng} et al., Lect. Notes Comput. Sci. Eng. 98, 141--153 (2014; Zbl 1455.76179) Full Text: DOI
Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song Numerical study of geometric multigrid methods on CPU-GPU heterogeneous computers. (English) Zbl 1305.78016 Adv. Appl. Math. Mech. 6, No. 1, 1-23 (2014). MSC: 78M10 78A48 PDFBibTeX XMLCite \textit{C. Feng} et al., Adv. Appl. Math. Mech. 6, No. 1, 1--23 (2014; Zbl 1305.78016) Full Text: DOI arXiv
Zhong, Liuqiang; Shu, Shi; Wang, Junxian; Xu, J. Two-grid methods for time-harmonic Maxwell equations. (English) Zbl 1289.78014 Numer. Linear Algebra Appl. 20, No. 1, 93-111 (2013). Reviewer: Wensheng Zhang (Beijing) MSC: 78M10 78A25 65N55 65N30 35Q61 PDFBibTeX XMLCite \textit{L. Zhong} et al., Numer. Linear Algebra Appl. 20, No. 1, 93--111 (2013; Zbl 1289.78014) Full Text: DOI
Cheng, Jing-Ru C.; Huang, Xue-Hai; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song; Zhang, Shuo; Zhou, Zhiyang Application of an energy-minimizing algebraic multigrid method for subsurface water simulations. (English) Zbl 1264.76075 Int. J. Numer. Anal. Model. 10, No. 2, 374-388 (2013). MSC: 76M25 65N55 65F10 65N22 PDFBibTeX XMLCite \textit{J.-R. C. Cheng} et al., Int. J. Numer. Anal. Model. 10, No. 2, 374--388 (2013; Zbl 1264.76075) Full Text: Link
Hong, Qingguo; Hu, Jun; Shu, Shi; Xu, Jinchao A discontinuous Galerkin method for the fourth-order curl problem. (English) Zbl 1289.76053 J. Comput. Math. 30, No. 6, 565-578 (2012). MSC: 76M10 76W05 65N30 PDFBibTeX XMLCite \textit{Q. Hong} et al., J. Comput. Math. 30, No. 6, 565--578 (2012; Zbl 1289.76053) Full Text: DOI Link
Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. (English) Zbl 1263.78012 Math. Comput. 81, No. 278, 623-642 (2012). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 78M10 65N30 65N12 65N50 78A25 PDFBibTeX XMLCite \textit{L. Zhong} et al., Math. Comput. 81, No. 278, 623--642 (2012; Zbl 1263.78012) Full Text: DOI
Zhong, Liuqiang; Shu, Shi; Chen, Long; Xu, Jinchao Convergence of adaptive edge finite element methods for \({\mathbf H}({\mathbf curl})\)-elliptic problems. (English) Zbl 1240.65338 Numer. Linear Algebra Appl. 17, No. 2-3, 415-432 (2010). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{L. Zhong} et al., Numer. Linear Algebra Appl. 17, No. 2--3, 415--432 (2010; Zbl 1240.65338) Full Text: DOI
Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. (English) Zbl 1212.65467 J. Comput. Math. 27, No. 5, 563-572 (2009). MSC: 65N30 35Q60 78M10 PDFBibTeX XMLCite \textit{L. Zhong} et al., J. Comput. Math. 27, No. 5, 563--572 (2009; Zbl 1212.65467) Full Text: DOI
Shu, Shi; Babuška, Ivo; Xiao, Yingxiong; Xu, Jinchao; Zikatanov, Ludmil Multilevel preconditioning methods for discrete models of lattice block materials. (English) Zbl 1404.74046 SIAM J. Sci. Comput. 31, No. 1, 687-707 (2008). MSC: 74G15 65F10 74K99 PDFBibTeX XMLCite \textit{S. Shu} et al., SIAM J. Sci. Comput. 31, No. 1, 687--707 (2008; Zbl 1404.74046) Full Text: DOI
Shu, S.; Sun, D.; Xu, J. An algebraic multigrid method for higher-order finite element discretizations. (English) Zbl 1127.65092 Computing 77, No. 4, 347-377 (2006). Reviewer: Gerald W. Hedstrom (Pleasanton) MSC: 65N55 65N30 35J25 PDFBibTeX XMLCite \textit{S. Shu} et al., Computing 77, No. 4, 347--377 (2006; Zbl 1127.65092) Full Text: DOI
Jin, Jicheng; Shu, Shi; Xu, Jinchao A two-grid discretization method for decoupling systems of partial differential equations. (English) Zbl 1119.65117 Math. Comput. 75, No. 256, 1617-1626 (2006). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{J. Jin} et al., Math. Comput. 75, No. 256, 1617--1626 (2006; Zbl 1119.65117) Full Text: DOI
Caflisch, R. E.; Lee, Young-Ju; Shu, Shi; Xiao, Yingxiong; Xu, Jinchao An application of multigrid methods for a discrete elastic model for epitaxial systems. (English) Zbl 1189.82142 J. Comput. Phys. 219, No. 2, 697-714 (2006). MSC: 82D80 81Q37 65N55 74A25 74S30 PDFBibTeX XMLCite \textit{R. E. Caflisch} et al., J. Comput. Phys. 219, No. 2, 697--714 (2006; Zbl 1189.82142) Full Text: DOI
Shu, Shi; Xu, Jinchao; Yang, Ying; Yu, Haiyuan An algebraic multigrid method for finite element systems on criss-cross grids. (English) Zbl 1103.65128 Adv. Comput. Math. 25, No. 1-3, 287-304 (2006). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65N55 65F10 65N30 PDFBibTeX XMLCite \textit{S. Shu} et al., Adv. Comput. Math. 25, No. 1--3, 287--304 (2006; Zbl 1103.65128) Full Text: DOI
Shu, Shi; Xu, Jinchao; Xiao, Yingxiong; Zikatanov, Ludmil Algebraic multigrid method on lattice block materials. (English) Zbl 1060.74068 Chan, Tony F. (ed.) et al., Recent progress in computational and applied PDEs. Conference proceedings for the international conference held in Zhangjiajie, China, July 1–7, 2001. New York, NY: Kluwer Academic / Plenum Publishers (ISBN 0-306-47420-4/hbk). 289-307 (2002). MSC: 74S30 74K10 74S05 65F10 PDFBibTeX XMLCite \textit{S. Shu} et al., in: Recent progress in computational and applied PDEs. Conference proceedings for the international conference held in Zhangjiajie, China, July 1--7, 2001. New York, NY: Kluwer Academic / Plenum Publishers. 289--307 (2002; Zbl 1060.74068)