Chu, Hanyu; Cai, Ying; Wang, Feng; Chen, Jinru A two-level additive Schwarz preconditioner for the Nitsche extended finite element approximation of elliptic interface problems. (English) Zbl 07741353 Comput. Math. Appl. 147, 111-120 (2023). MSC: 65N30 65N55 35J25 65N12 65F10 PDFBibTeX XMLCite \textit{H. Chu} et al., Comput. Math. Appl. 147, 111--120 (2023; Zbl 07741353) Full Text: DOI
Huang, Peiqi; Chen, Jinru; Cai, Mingchao A mortar method using nonconforming and mixed finite elements for the coupled Stokes-Darcy model. (English) Zbl 1488.65621 Adv. Appl. Math. Mech. 9, No. 3, 596-620 (2017). MSC: 65N30 65N12 65N55 76D07 76S05 65N15 35Q35 PDFBibTeX XMLCite \textit{P. Huang} et al., Adv. Appl. Math. Mech. 9, No. 3, 596--620 (2017; Zbl 1488.65621) Full Text: DOI
Zeng, Yuping; Chen, Jinru; Li, Zhilin A parallel Robin-Robin domain decomposition method for \(H(\operatorname{div})\)-elliptic problems. (English) Zbl 1308.65203 Int. J. Comput. Math. 92, No. 2, 394-410 (2015). MSC: 65N30 65N55 65F10 PDFBibTeX XMLCite \textit{Y. Zeng} et al., Int. J. Comput. Math. 92, No. 2, 394--410 (2015; Zbl 1308.65203) Full Text: DOI
Jiang, Yaqin; Chen, Jinru A BDDC algorithm for the mortar-type rotated \(Q_1\) FEM for elliptic problems with discontinuous coefficients. (English) Zbl 1303.65103 Bound. Value Probl. 2014, Paper No. 79, 13 p. (2014). MSC: 65N55 65N30 35J25 65N12 65F08 35R05 PDFBibTeX XMLCite \textit{Y. Jiang} and \textit{J. Chen}, Bound. Value Probl. 2014, Paper No. 79, 13 p. (2014; Zbl 1303.65103) Full Text: DOI
Wang, Feng; Chen, Jinru A local multilevel preconditioner for the adaptive mortar finite element method. (English) Zbl 1299.65274 J. Comput. Math. 31, No. 5, 538-548 (2013). MSC: 65N30 65N55 65F08 35J25 PDFBibTeX XMLCite \textit{F. Wang} and \textit{J. Chen}, J. Comput. Math. 31, No. 5, 538--548 (2013; Zbl 1299.65274) Full Text: DOI
Huang, Peiqi; Chen, Jinru Two-level and multilevel methods for Stokes-Darcy problem discretized by nonconforming elements on nonmatching meshes. (Chinese. English summary) Zbl 1488.65620 Sci. Sin., Math. 42, No. 5, 389-402 (2012). MSC: 65N30 65N55 65N15 76D07 76S05 35Q35 PDFBibTeX XMLCite \textit{P. Huang} and \textit{J. Chen}, Sci. Sin., Math. 42, No. 5, 389--402 (2012; Zbl 1488.65620) Full Text: DOI
Zeng, Yuping; Chen, Jinru Optimization-based domain decomposition methods for \(H(\operatorname{div})\)-elliptic problem. (English) Zbl 1289.65275 J. Nanjing Norm. Univ., Nat. Sci. Ed. 35, No. 4, 1-6 (2012). MSC: 65N55 65N12 35J25 PDFBibTeX XMLCite \textit{Y. Zeng} and \textit{J. Chen}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 35, No. 4, 1--6 (2012; Zbl 1289.65275)
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
Huang, Peiqi; Chen, Jinru Nonconforming element methods and preconditioning techniques for the Stokes-Darcy model on nonmatching grids. (Chinese. English summary) Zbl 1249.65238 Math. Numer. Sin. 33, No. 4, 397-408 (2011). MSC: 65N30 65N55 65F10 PDFBibTeX XMLCite \textit{P. Huang} and \textit{J. Chen}, Math. Numer. Sin. 33, No. 4, 397--408 (2011; Zbl 1249.65238)
Han, Yan; Chen, Jinru A robust multigrid method for low order nonconforming rectangular finite element for the pure displacement boundary value problem in planar linear elasticity. (Chinese. English summary) Zbl 1240.74019 Numer. Math., Nanjing 33, No. 2, 178-192 (2011). MSC: 74S05 74C99 65N30 65N55 PDFBibTeX XMLCite \textit{Y. Han} and \textit{J. Chen}, Numer. Math., Nanjing 33, No. 2, 178--192 (2011; Zbl 1240.74019)
Wang, Feng; Chen, Jinru An additive Schwarz preconditioner for \(P_1\) nonconforming quadrilateral finite element methods for elliptic equations with jump coefficients. (Chinese. English summary) Zbl 1212.65500 Math. Numer. Sin. 31, No. 2, 209-224 (2009). MSC: 65N55 65N30 65F10 65F08 35J25 65N12 PDFBibTeX XMLCite \textit{F. Wang} and \textit{J. Chen}, Math. Numer. Sin. 31, No. 2, 209--224 (2009; Zbl 1212.65500)
Lee, Young-Ju; Wu, Jinbiao; Chen, Jinru Robust multigrid method for the planar linear elasticity problems. (English) Zbl 1170.74050 Numer. Math. 113, No. 3, 473-496 (2009). MSC: 74S05 74B05 65N30 65N12 65N55 PDFBibTeX XMLCite \textit{Y.-J. Lee} et al., Numer. Math. 113, No. 3, 473--496 (2009; Zbl 1170.74050) Full Text: DOI
Wang, Feng; Chen, Jinru; Xu, Wei; Li, Zhilin An additive Schwarz preconditioner for the mortar-type rotated \(Q_1\) FEM for elliptic problems with discontinuous coefficients. (English) Zbl 1162.65408 Appl. Numer. Math. 59, No. 7, 1657-1667 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Numer. Math. 59, No. 7, 1657--1667 (2009; Zbl 1162.65408) Full Text: DOI
Huang, Peiqi; Chen, Jinru Multigrid methods for mortar-type rotated \(Q_1\) element. (Chinese. English summary) Zbl 1164.65520 Math. Numer. Sin. 30, No. 1, 1-16 (2008). MSC: 65N55 65N30 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{P. Huang} and \textit{J. Chen}, Math. Numer. Sin. 30, No. 1, 1--16 (2008; Zbl 1164.65520)
Huang, Peiqi; Wang, Feng; Chen, Jinru Cascadic multigrid method for mortar-type rotated \(Q_1\) element. (English) Zbl 1174.65545 J. Nanjing Norm. Univ., Nat. Sci. Ed. 30, No. 4, 20-27 (2007). MSC: 65N55 65N30 35J25 65F10 PDFBibTeX XMLCite \textit{P. Huang} et al., J. Nanjing Norm. Univ., Nat. Sci. Ed. 30, No. 4, 20--27 (2007; Zbl 1174.65545)
Tian, Beiyi; Jiang, Yaqin; Chen, Jinru A \(V\)-cycle multigrid method for mortar-type rotated \(Q_1\) element. (English) Zbl 1149.65095 J. Nanjing Norm. Univ., Nat. Sci. Ed. 29, No. 4, 1-7 (2006). Reviewer: I. N. Katz (St. Louis) MSC: 65N55 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{B. Tian} et al., J. Nanjing Norm. Univ., Nat. Sci. Ed. 29, No. 4, 1--7 (2006; Zbl 1149.65095)
Chen, Jinru; Cui, Junzhi A multiscale finite element method for elliptic problems with highly oscillatory coefficients. (English) Zbl 1066.65122 Appl. Numer. Math. 50, No. 1, 1-13 (2004). Reviewer: Raytcho D. Lazarov (College Station) MSC: 65N30 65N55 35J25 65N15 PDFBibTeX XMLCite \textit{J. Chen} and \textit{J. Cui}, Appl. Numer. Math. 50, No. 1, 1--13 (2004; Zbl 1066.65122) Full Text: DOI
Xu, Xuejun; Chen, Jinru Multigrid for the mortar finite element for parabolic problem. (English) Zbl 1050.65091 J. Comput. Math. 21, No. 4, 411-420 (2003). Reviewer: H. P. Dikshit (New Delhi) MSC: 65M55 65M60 35K15 65M15 PDFBibTeX XMLCite \textit{X. Xu} and \textit{J. Chen}, J. Comput. Math. 21, No. 4, 411--420 (2003; Zbl 1050.65091)
Chen, Jinru; Xu, Xuejun Uniform convergence and Schwarz method for the mortar element method for non-selfadjoint and indefinite problems. (English) Zbl 1029.65126 Appl. Math. Comput. 136, No. 2-3, 517-533 (2003). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N55 65F10 65F35 35J25 65N12 PDFBibTeX XMLCite \textit{J. Chen} and \textit{X. Xu}, Appl. Math. Comput. 136, No. 2--3, 517--533 (2003; Zbl 1029.65126) Full Text: DOI
Shi, Zhong-Ci; Xu, Xuejun; Chen, Jinru Multigrid for the mortar-type nonconforming element method for nonsymmetric and indefinite problems. (English) Zbl 1026.65101 Debit, N. (ed.) et al., Domain decomposition methods in science and engineering. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9-12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). Theory Eng. Appl. Comput. Methods. 279-286 (2002). MSC: 65N30 65N55 65F10 35J25 PDFBibTeX XMLCite \textit{Z.-C. Shi} et al., in: Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9--12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 279--286 (2002; Zbl 1026.65101)
Chen, Jinru; Xu, Xuejun The mortar element method for the rotated \(Q1\). (English) Zbl 1026.65100 Debit, N. (ed.) et al., Domain decomposition methods in science and engineering. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9-12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). Theory Eng. Appl. Comput. Methods. 223-228 (2002). MSC: 65N30 65N55 65N15 35J25 PDFBibTeX XMLCite \textit{J. Chen} and \textit{X. Xu}, in: Domain decomposition methods in science and engineering. XIII. Papers of the thirteenth international conference on domain decomposition methods, Lyon, France, October 9--12, 2000. Barcelona: International Center for Numerical Methods in Engineering (CIMNE). 223--228 (2002; Zbl 1026.65100)
Chen, Jinru; Cui, Junzhi A multiscale rectangular element method for elliptic problems with entirely small periodic coefficients. (English) Zbl 1027.65152 Appl. Math. Comput. 130, No. 1, 39-52 (2002). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N22 65N55 65F10 65F35 65N15 35J25 PDFBibTeX XMLCite \textit{J. Chen} and \textit{J. Cui}, Appl. Math. Comput. 130, No. 1, 39--52 (2002; Zbl 1027.65152) Full Text: DOI
Chen, Jinru; Xu, Xuejun The mortar element method for rotated \(Q1\) element. (English) Zbl 1015.65066 J. Comput. Math. 20, No. 3, 313-324 (2002). Reviewer: Ariadna Lucia Pletea (Iasi) MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. Chen} and \textit{X. Xu}, J. Comput. Math. 20, No. 3, 313--324 (2002; Zbl 1015.65066)
Chen, Jinru; Cui, Junzhi Two-scale curved element method for elliptic problems with small periodic coefficients. (English) Zbl 1011.65081 J. Comput. Math. 20, No. 4, 381-390 (2002). Reviewer: Ramaz Botchorishvili (Tbilisi) MSC: 65N30 65N55 65F10 35B27 35J25 65N15 PDFBibTeX XMLCite \textit{J. Chen} and \textit{J. Cui}, J. Comput. Math. 20, No. 4, 381--390 (2002; Zbl 1011.65081)
Chen, Jinru Multigrid method and multilevel additive preconditioner for mixed element method for non-self-adjoint and indefinite problems. (English) Zbl 1023.65128 Appl. Math. Comput. 119, No. 2-3, 229-247 (2001). MSC: 65N55 65F10 65F25 65N30 65N12 35J25 PDFBibTeX XMLCite \textit{J. Chen}, Appl. Math. Comput. 119, No. 2--3, 229--247 (2001; Zbl 1023.65128) Full Text: DOI
Xu, Xuejun; Chen, Jinru Multigrid for the mortar element method for P1 nonconforming element. (English) Zbl 0989.65141 Numer. Math. 88, No. 2, 381-398 (2001). Reviewer: Ziwen Jiang (Shandong) MSC: 65N55 65F10 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{X. Xu} and \textit{J. Chen}, Numer. Math. 88, No. 2, 381--398 (2001; Zbl 0989.65141) Full Text: DOI
Chen, Jinru; Xu, Xuejun The mortar element method for nonselfadjoint parabolic problem. (English) Zbl 0985.65116 Appl. Numer. Math. 37, No. 3, 341-358 (2001). Reviewer: Violeta A.Kostova (Russe) MSC: 65M60 65M12 35K15 65M55 65F10 65M06 65F35 PDFBibTeX XMLCite \textit{J. Chen} and \textit{X. Xu}, Appl. Numer. Math. 37, No. 3, 341--358 (2001; Zbl 0985.65116) Full Text: DOI
Chen, Jinru; Huang, Jianguo; Li, Likang Uniform convergence and preconditioning method for mortar mixed element method for nonselfadjoint and indefinite problems. (English) Zbl 0972.65080 Comput. Methods Appl. Mech. Eng. 189, No. 3, 943-960 (2000). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65N12 65F10 65N30 65F35 65N55 35J25 PDFBibTeX XMLCite \textit{J. Chen} et al., Comput. Methods Appl. Mech. Eng. 189, No. 3, 943--960 (2000; Zbl 0972.65080) Full Text: DOI
Chen, Jinru; Chen, Wenbin A domain decomposition method for mixed and projection nonconforming element methods for indefinite second-order elliptic problems. (Chinese) Zbl 0960.65134 J. Fudan Univ., Nat. Sci. 39, No. 1, 80-85 (2000). MSC: 65N55 65F10 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{J. Chen} and \textit{W. Chen}, J. Fudan Univ., Nat. Sci. 39, No. 1, 80--85 (2000; Zbl 0960.65134)
Chen, Jinru; Li, Likang Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems. (English) Zbl 0941.65124 Comput. Methods Appl. Mech. Eng. 173, No. 1-2, 1-20 (1999). Reviewer: V.A.Kostova (Russe) MSC: 65N55 65N30 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{J. Chen} and \textit{L. Li}, Comput. Methods Appl. Mech. Eng. 173, No. 1--2, 1--20 (1999; Zbl 0941.65124) Full Text: DOI
Chen, Jinru; Chen, Wenbin Preconditioning mixed element method for nonselfadjoint and indefinite second order elliptic problems. (English) Zbl 0948.65121 Numer. Math., J. Chin. Univ. 8, No. 1, 67-82 (1999). Reviewer: I.N.Katz (St.Louis) MSC: 65N30 35J25 65N55 65F10 65F35 PDFBibTeX XMLCite \textit{J. Chen} and \textit{W. Chen}, Numer. Math., J. Chin. Univ. 8, No. 1, 67--82 (1999; Zbl 0948.65121)