Carstensen, Carsten; Hu, Jun Hierarchical Argyris finite element method for adaptive and multigrid algorithms. (English) Zbl 1473.65291 Comput. Methods Appl. Math. 21, No. 3, 529-556 (2021). MSC: 65N30 65N12 65N15 65N50 65N55 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{J. Hu}, Comput. Methods Appl. Math. 21, No. 3, 529--556 (2021; Zbl 1473.65291) Full Text: DOI OpenURL
Zhang, Li-Li Numerical efficiency of modified modulus-based multigrid cycles with application to free boundary problems. (English) Zbl 1470.65202 Appl. Math. Lett. 117, Article ID 107094, 7 p. (2021). Reviewer: Michael Jung (Dresden) MSC: 65N55 65N50 65N06 65N12 35R35 PDF BibTeX XML Cite \textit{L.-L. Zhang}, Appl. Math. Lett. 117, Article ID 107094, 7 p. (2021; Zbl 1470.65202) Full Text: DOI OpenURL
Shi, Xiaolei; Agrawal, Tanmay; Lin, Chao-An; Hwang, Feng-Nan; Chiu, Tzu-Hsuan A parallel nonlinear multigrid solver for unsteady incompressible flow simulation on multi-GPU cluster. (English) Zbl 1440.76100 J. Comput. Phys. 414, Article ID 109447, 19 p. (2020). MSC: 76M12 76D05 65M08 65M55 65Y05 76-04 PDF BibTeX XML Cite \textit{X. Shi} et al., J. Comput. Phys. 414, Article ID 109447, 19 p. (2020; Zbl 1440.76100) Full Text: DOI OpenURL
Chen, Minghua; Qi, Wenya; Wang, Yantao Uniform convergence of V-cycle multigrid finite element method for one-dimensional time-dependent fractional problem. (English) Zbl 1464.65111 Appl. Math. Lett. 98, 49-56 (2019). MSC: 65M55 65M60 65M12 65T50 35R11 PDF BibTeX XML Cite \textit{M. Chen} et al., Appl. Math. Lett. 98, 49--56 (2019; Zbl 1464.65111) Full Text: DOI OpenURL
Jo, Gwanghyun; Kwak, Do Y. Geometric multigrid algorithms for elliptic interface problems using structured grids. (English) Zbl 1416.65499 Numer. Algorithms 81, No. 1, 211-235 (2019). MSC: 65N55 65N30 35J25 PDF BibTeX XML Cite \textit{G. Jo} and \textit{D. Y. Kwak}, Numer. Algorithms 81, No. 1, 211--235 (2019; Zbl 1416.65499) Full Text: DOI OpenURL
Antonietti, P. F.; Pennesi, G. \(V\)-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes. (English) Zbl 1410.65092 J. Sci. Comput. 78, No. 1, 625-652 (2019). MSC: 65F10 65M55 65N22 PDF BibTeX XML Cite \textit{P. F. Antonietti} and \textit{G. Pennesi}, J. Sci. Comput. 78, No. 1, 625--652 (2019; Zbl 1410.65092) Full Text: DOI arXiv OpenURL
Brenner, Susanne C.; Oh, Duk-Soon A smoother based on nonoverlapping domain decomposition methods for \(H(\mathrm{div})\) problems: a numerical study. (English) Zbl 1450.65156 Bjørstad, Petter E. (ed.) et al., Domain decomposition methods in science and engineering XXIV. Proceedings of the 24th international conference, Svalbard, Norway, February 6–10, 2017. Cham: Springer. Lect. Notes Comput. Sci. Eng. 125, 523-531 (2018). MSC: 65N55 65N30 35R05 15A18 PDF BibTeX XML Cite \textit{S. C. Brenner} and \textit{D.-S. Oh}, Lect. Notes Comput. Sci. Eng. 125, 523--531 (2018; Zbl 1450.65156) Full Text: DOI OpenURL
Aulisa, Eugenio; Calandrini, Sara; Capodaglio, Giacomo An improved multigrid algorithm for \(n\)-irregular meshes with subspace correction smoother. (English) Zbl 1419.65137 Comput. Math. Appl. 76, No. 3, 620-632 (2018). MSC: 65N55 65N85 65N12 65N15 65N50 65N30 PDF BibTeX XML Cite \textit{E. Aulisa} et al., Comput. Math. Appl. 76, No. 3, 620--632 (2018; Zbl 1419.65137) Full Text: DOI OpenURL
Aulisa, E.; Bornia, G.; Calandrini, S.; Capodaglio, G. Convergence estimates for multigrid algorithms with SSC smoothers and applications to overlapping domain decomposition. (English) Zbl 06881599 Appl. Numer. Math. 131, 16-38 (2018). MSC: 65-XX PDF BibTeX XML Cite \textit{E. Aulisa} et al., Appl. Numer. Math. 131, 16--38 (2018; Zbl 06881599) Full Text: DOI arXiv OpenURL
Chen, Minghua; Deng, Weihua; Serra-Capizzano, Stefano Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation. (English) Zbl 1397.65177 J. Sci. Comput. 74, No. 2, 1034-1059 (2018). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M55 15B05 35R11 PDF BibTeX XML Cite \textit{M. Chen} et al., J. Sci. Comput. 74, No. 2, 1034--1059 (2018; Zbl 1397.65177) Full Text: DOI arXiv OpenURL
Martynenko, Sergey I. The robust multigrid technique. For black-box software. (English) Zbl 1382.65450 Berlin: De Gruyter (ISBN 978-3-11-053755-0/hbk; 978-3-11-053926-4/ebook). xiii, 198 p. (2017). Reviewer: Constantin Popa (Constanţa) MSC: 65N55 65R20 45K05 65F10 65N12 65N50 35Q30 65-02 35J05 65Y05 PDF BibTeX XML Cite \textit{S. I. Martynenko}, The robust multigrid technique. For black-box software. Berlin: De Gruyter (2017; Zbl 1382.65450) Full Text: DOI OpenURL
Moghaderi, Hamid; Dehghan, Mehdi A multigrid compact finite difference method for solving the one-dimensional nonlinear sine-Gordon equation. (English) Zbl 1335.35219 Math. Methods Appl. Sci. 38, No. 17, 3901-3922 (2015). MSC: 35Q53 65M06 65M55 65F50 PDF BibTeX XML Cite \textit{H. Moghaderi} and \textit{M. Dehghan}, Math. Methods Appl. Sci. 38, No. 17, 3901--3922 (2015; Zbl 1335.35219) Full Text: DOI OpenURL
Zhou, Ming Shuo The \(\mathrm{SL}(V)\)-ample cone of product of flag varieties. (English) Zbl 1326.14009 Acta Math. Sin., Engl. Ser. 31, No. 2, 272-280 (2015). MSC: 14C17 14L24 14L30 14M15 PDF BibTeX XML Cite \textit{M. S. Zhou}, Acta Math. Sin., Engl. Ser. 31, No. 2, 272--280 (2015; Zbl 1326.14009) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{Y. Zhu}, Numer. Linear Algebra Appl. 21, No. 1, 24--38 (2014; Zbl 1324.65047) Full Text: DOI arXiv OpenURL
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. (English) Zbl 1274.65287 Numer. Math., Theory Methods Appl. 5, No. 3, 297-332 (2012). MSC: 65N12 65N55 65N30 35Q61 35J25 65N50 PDF BibTeX XML Cite \textit{R. Hiptmair} et al., Numer. Math., Theory Methods Appl. 5, No. 3, 297--332 (2012; Zbl 1274.65287) Full Text: DOI Link OpenURL
Li, Ming; Li, Chenliang; Cui, Xiangzhao; Huang, Chuanyong A cascadic algebraic two-level grid method for Poisson equations. (Chinese. English summary) Zbl 1274.65321 Numer. Math., Nanjing 34, No. 2, 153-159 (2012). MSC: 65N55 65N30 35J05 PDF BibTeX XML Cite \textit{M. Li} et al., Numer. Math., Nanjing 34, No. 2, 153--159 (2012; Zbl 1274.65321) OpenURL
Ghysels, P.; Kłosiewicz, P.; Vanroose, W. Improving the arithmetic intensity of multigrid with the help of polynomial smoothers. (English) Zbl 1274.65317 Numer. Linear Algebra Appl. 19, No. 2, 253-267 (2012). MSC: 65N55 65N12 PDF BibTeX XML Cite \textit{P. Ghysels} et al., Numer. Linear Algebra Appl. 19, No. 2, 253--267 (2012; Zbl 1274.65317) Full Text: DOI OpenURL
Oliveira, F.; Pinto, M. A. V.; Marchi, C. H.; Araki, L. K. Optimized partial semicoarsening multigrid algorithm for heat diffusion problems and anisotropic grids. (English) Zbl 1252.65143 Appl. Math. Modelling 36, No. 10, 4665-4676 (2012). MSC: 65M06 65M30 PDF BibTeX XML Cite \textit{F. Oliveira} et al., Appl. Math. Modelling 36, No. 10, 4665--4676 (2012; Zbl 1252.65143) Full Text: DOI OpenURL
Wu, Yongke; Chen, Long; Xie, Xiaoping; Xu, Jinchao Convergence analysis of \(V\)-cycle multigrid methods for anisotropic elliptic equations. (English) Zbl 1258.65093 IMA J. Numer. Anal. 32, No. 4, 1329-1347 (2012). Reviewer: Ludwig Kohaupt (Berlin) MSC: 65N12 65N55 65N30 35J25 PDF BibTeX XML Cite \textit{Y. Wu} et al., IMA J. Numer. Anal. 32, No. 4, 1329--1347 (2012; Zbl 1258.65093) Full Text: DOI OpenURL
Bonito, Andrea; Pasciak, Joseph E. Convergence analysis of variational and non-variational multigrid algorithms for the Laplace-Beltrami operator. (English) Zbl 1246.65208 Math. Comput. 81, No. 279, 1263-1288 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 65N55 58J05 PDF BibTeX XML Cite \textit{A. Bonito} and \textit{J. E. Pasciak}, Math. Comput. 81, No. 279, 1263--1288 (2012; Zbl 1246.65208) Full Text: DOI OpenURL
Vaněk, Petr Smoothed prolongation multigrid with rapid coarsening and massive smoothing. (English) Zbl 1249.65272 Appl. Math., Praha 57, No. 1, 1-10 (2012). Reviewer: Karel Segeth (Praha) MSC: 65N55 PDF BibTeX XML Cite \textit{P. Vaněk}, Appl. Math., Praha 57, No. 1, 1--10 (2012; Zbl 1249.65272) Full Text: DOI EuDML Link OpenURL
Ahmed, Bouthina S.; Monaquel, S. J. Multigrid method for solving 2D-Poisson equation with sixth order finite difference method. (English) Zbl 1248.65113 Int. Math. Forum 6, No. 53-56, 2729-2736 (2011). MSC: 65N06 35J05 65N55 PDF BibTeX XML Cite \textit{B. S. Ahmed} and \textit{S. J. Monaquel}, Int. Math. Forum 6, No. 53--56, 2729--2736 (2011; Zbl 1248.65113) Full Text: Link OpenURL
Brenner, S. C.; Cui, J.; Gudi, T.; Sung, L.-Y. Multigrid algorithms for symmetric discontinuous Galerkin methods on graded meshes. (English) Zbl 1229.65224 Numer. Math. 119, No. 1, 21-47 (2011). Reviewer: Gisbert Stoyan (Budapest) MSC: 65N55 65N30 65N50 35J05 65N15 65N12 PDF BibTeX XML Cite \textit{S. C. Brenner} et al., Numer. Math. 119, No. 1, 21--47 (2011; Zbl 1229.65224) Full Text: DOI OpenURL
Napov, Artem; Notay, Yvan Smoothing factor, order of prolongation and actual multigrid convergence. (English) Zbl 1227.65122 Numer. Math. 118, No. 3, 457-483 (2011). Reviewer: Dietrich Braess (Bochum) MSC: 65N55 65F10 35J25 65N12 PDF BibTeX XML Cite \textit{A. Napov} and \textit{Y. Notay}, Numer. Math. 118, No. 3, 457--483 (2011; Zbl 1227.65122) Full Text: DOI Link OpenURL
Hao, Guohui; Kang, Qingde Large sets of \(\lambda \)-fold \(P_3\)-factors in \(K_{V,V}\). (English) Zbl 1249.05265 Ars Comb. 96, 321-329 (2010). MSC: 05C51 05C45 PDF BibTeX XML Cite \textit{G. Hao} and \textit{Q. Kang}, Ars Comb. 96, 321--329 (2010; Zbl 1249.05265) OpenURL
Napov, Artem; Notay, Yvan When does two-grid optimality carry over to the V-cycle? (English) Zbl 1240.65357 Numer. Linear Algebra Appl. 17, No. 2-3, 273-290 (2010). Reviewer: Petr Vaněk (Plzeň) MSC: 65N55 65F10 PDF BibTeX XML Cite \textit{A. Napov} and \textit{Y. Notay}, Numer. Linear Algebra Appl. 17, No. 2--3, 273--290 (2010; Zbl 1240.65357) Full Text: DOI Link OpenURL
Zhao, Yanmin; Shi, Dongyang The V-cycle multigrid method for a Hermite-type rectangular element. (English) Zbl 1240.65364 Chin. Q. J. Math. 25, No. 1, 140-145 (2010). MSC: 65N55 65N12 65N30 PDF BibTeX XML Cite \textit{Y. Zhao} and \textit{D. Shi}, Chin. Q. J. Math. 25, No. 1, 140--145 (2010; Zbl 1240.65364) OpenURL
Ponraj, R.; Vijaya Xavier Parthipan, J.; Kala, R. Some results on pair sum labeling of graphs. (English) Zbl 1218.05170 Int. J. Math. Comb. 4, 53-61 (2010). MSC: 05C78 PDF BibTeX XML Cite \textit{R. Ponraj} et al., Int. J. Math. Comb. 2010, No. 4, 53--61 (2010; Zbl 1218.05170) OpenURL
Ahmed, B. S.; Monaquel, S. J. Fourth order accurate scheme with multigrid method for solving anisotropic elliptic partial differential equations. (English) Zbl 1202.65136 Adv. Differ. Equ. Control. Process. 5, No. 2, 93-100 (2010). MSC: 65N06 35J25 65N55 65F10 PDF BibTeX XML Cite \textit{B. S. Ahmed} and \textit{S. J. Monaquel}, Adv. Differ. Equ. Control Process. 5, No. 2, 93--100 (2010; Zbl 1202.65136) Full Text: Link OpenURL
Bank, Randolph E.; Yserentant, Harry Multigrid convergence: A brief trip down memory lane. (English) Zbl 1219.65142 Comput. Vis. Sci. 13, No. 4, 147-152 (2010). Reviewer: Dietrich Braess (Bochum) MSC: 65N55 65-02 65N12 65F10 PDF BibTeX XML Cite \textit{R. E. Bank} and \textit{H. Yserentant}, Comput. Vis. Sci. 13, No. 4, 147--152 (2010; Zbl 1219.65142) Full Text: DOI OpenURL
Copeland, Dylan M.; Gopalakrishnan, Jayadeep; Oh, Minah Multigrid in a weighted space arising from axisymmetric electromagnetics. (English) Zbl 1198.78010 Math. Comput. 79, No. 272, 2033-2058 (2010). MSC: 78M10 65M55 65N55 65F10 65N30 PDF BibTeX XML Cite \textit{D. M. Copeland} et al., Math. Comput. 79, No. 272, 2033--2058 (2010; Zbl 1198.78010) Full Text: DOI OpenURL
Napov, Artem; Notay, Yvan Comparison of bounds for V-cycle multigrid. (English) Zbl 1192.65151 Appl. Numer. Math. 60, No. 3, 176-192 (2010). Reviewer: Dietrich Braess (Bochum) MSC: 65N55 65F10 65F50 65N12 35J05 65N06 PDF BibTeX XML Cite \textit{A. Napov} and \textit{Y. Notay}, Appl. Numer. Math. 60, No. 3, 176--192 (2010; Zbl 1192.65151) Full Text: DOI Link OpenURL
Gopalakrishnan, Jayadeep; Tan, Shuguang A convergent multigrid cycle for the hybridized mixed method. (English) Zbl 1224.65290 Numer. Linear Algebra Appl. 16, No. 9, 689-714 (2009). MSC: 65N55 65N30 35J25 65N12 65F10 PDF BibTeX XML Cite \textit{J. Gopalakrishnan} and \textit{S. Tan}, Numer. Linear Algebra Appl. 16, No. 9, 689--714 (2009; Zbl 1224.65290) Full Text: DOI OpenURL
Xu, Jinchao; Chen, Long; Nochetto, Ricardo H. Optimal multilevel methods for \(H\)(grad), \(H\)(curl), and \(H\)(div) systems on graded and unstructured grids. (English) Zbl 1193.65209 DeVore, Ronald (ed.) et al., Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer (ISBN 978-3-642-03412-1/hbk; 978-3-642-03413-8/ebook). 599-659 (2009). MSC: 65N55 65F10 65F08 35J05 65N12 65N30 65N50 PDF BibTeX XML Cite \textit{J. Xu} et al., in: Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Berlin: Springer. 599--659 (2009; Zbl 1193.65209) Full Text: DOI OpenURL
Ryu, Soorok; Lee, Hyung-Chun; Kim, Sang Dong First-order system least-squares methods for an optimal control problem by the Stokes flow. (English) Zbl 1404.49019 SIAM J. Numer. Anal. 47, No. 2, 1524-1545 (2009). MSC: 49M25 49K20 65N30 65N55 PDF BibTeX XML Cite \textit{S. Ryu} et al., SIAM J. Numer. Anal. 47, No. 2, 1524--1545 (2009; Zbl 1404.49019) Full Text: DOI OpenURL
Kim, Junseok; Kang, Kyungkeun A numerical method for the ternary Cahn-Hilliard system with a degenerate mobility. (English) Zbl 1171.65068 Appl. Numer. Math. 59, No. 5, 1029-1042 (2009). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M55 65M06 35Q53 65M12 PDF BibTeX XML Cite \textit{J. Kim} and \textit{K. Kang}, Appl. Numer. Math. 59, No. 5, 1029--1042 (2009; Zbl 1171.65068) Full Text: DOI OpenURL
Lu, Zuliang; Zhang, Hongwei \(V\)-cycle multi-grid method of viscoelastic fluid flow obeying an Oldroyd B type constitutive law. (Russian. English summary) Zbl 1201.76120 Sib. Zh. Vychisl. Mat. 11, No. 1, 83-94 (2008). MSC: 76M10 65Z05 PDF BibTeX XML Cite \textit{Z. Lu} and \textit{H. Zhang}, Sib. Zh. Vychisl. Mat. 11, No. 1, 83--94 (2008; Zbl 1201.76120) OpenURL
Gopalakrishnan, J.; Pasciak, J. E. Multigrid convergence for second-order elliptic problems with smooth complex coefficients. (English) Zbl 1194.65134 Comput. Methods Appl. Mech. Eng. 197, No. 49-50, 4411-4418 (2008). MSC: 65N30 65N12 65N55 PDF BibTeX XML Cite \textit{J. Gopalakrishnan} and \textit{J. E. Pasciak}, Comput. Methods Appl. Mech. Eng. 197, No. 49--50, 4411--4418 (2008; Zbl 1194.65134) Full Text: DOI Link OpenURL
Brannick, J. J.; Li, Hengguang; Zikatanov, L. T. Uniform convergence of the multigrid \(V\)-cycle on graded meshes for corner singularities. (English) Zbl 1212.65482 Numer. Linear Algebra Appl. 15, No. 2-3, 291-306 (2008). MSC: 65N55 65N30 35J05 65F10 65N12 PDF BibTeX XML Cite \textit{J. J. Brannick} et al., Numer. Linear Algebra Appl. 15, No. 2--3, 291--306 (2008; Zbl 1212.65482) Full Text: DOI OpenURL
Wang, Feng; Xu, Wei Multigrid methods for mortar-type nonconforming quadrilateral element. (English) Zbl 1199.65405 J. Nanjing Norm. Univ., Nat. Sci. Ed. 31, No. 3, 16-23 (2008). MSC: 65N55 65N30 35J25 PDF BibTeX XML Cite \textit{F. Wang} and \textit{W. Xu}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 31, No. 3, 16--23 (2008; Zbl 1199.65405) OpenURL
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 PDF BibTeX XML Cite \textit{P. Huang} and \textit{J. Chen}, Math. Numer. Sin. 30, No. 1, 1--16 (2008; Zbl 1164.65520) OpenURL
Kasbah, Safaa J.; Damaj, Issam W.; Haraty, Ramzi A. Multigrid solvers in reconfigurable hardware. (English) Zbl 1131.65096 J. Comput. Appl. Math. 213, No. 1, 79-94 (2008). MSC: 65N55 35J05 65F10 65N06 65N12 65Y05 65Y15 PDF BibTeX XML Cite \textit{S. J. Kasbah} et al., J. Comput. Appl. Math. 213, No. 1, 79--94 (2008; Zbl 1131.65096) Full Text: DOI arXiv OpenURL
Lai, Ming-Chih; Wu, Chin-Tien; Tseng, Yu-Hou An efficient semi-coarsening multigrid method for variable diffusion problems in cylindrical coordinates. (English) Zbl 1118.65128 Appl. Numer. Math. 57, No. 5-7, 801-810 (2007). Reviewer: Piotr Matus (Minsk) MSC: 65N55 65N12 35J25 65F10 PDF BibTeX XML Cite \textit{M.-C. Lai} et al., Appl. Numer. Math. 57, No. 5--7, 801--810 (2007; Zbl 1118.65128) Full Text: DOI OpenURL
Duan, Huo-Yuan; Gao, Shao-Qin; Tan, Roger C. E.; Zhang, Shangyou A generalized BPX multigrid framework covering nonnested V-cycle methods. (English) Zbl 1121.65126 Math. Comput. 76, No. 257, 137-152 (2007). Reviewer: Fumio Kikuchi (Tokyo) MSC: 65N55 65N30 65F10 35J25 65N12 PDF BibTeX XML Cite \textit{H.-Y. Duan} et al., Math. Comput. 76, No. 257, 137--152 (2007; Zbl 1121.65126) Full Text: DOI OpenURL
Wu, Haijun; Chen, Zhiming Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems. (English) Zbl 1112.65104 Sci. China, Ser. A 49, No. 10, 1405-1429 (2006). Reviewer: Dietrich Braess (Bochum) MSC: 65N12 65N50 65N30 65N55 35J25 PDF BibTeX XML Cite \textit{H. Wu} and \textit{Z. Chen}, Sci. China, Ser. A 49, No. 10, 1405--1429 (2006; Zbl 1112.65104) Full Text: DOI OpenURL
Gopalakrishnan, Jayadeep; Pasciak, Joseph E. The convergence of V-cycle multigrid algorithms for axisymmetric Laplace and Maxwell equations. (English) Zbl 1119.65106 Math. Comput. 75, No. 256, 1697-1719 (2006). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N12 65N55 65F10 65N30 35Q60 35J05 78M10 PDF BibTeX XML Cite \textit{J. Gopalakrishnan} and \textit{J. E. Pasciak}, Math. Comput. 75, No. 256, 1697--1719 (2006; Zbl 1119.65106) Full Text: DOI OpenURL
Kumar, V. V. K. Srinivas; Kumar, B. V. Rathish; Das, P. C. WEB-spline-based multigrid methods for the stationary Stokes problem. (English) Zbl 1094.65123 Numer. Funct. Anal. Optimization 27, No. 3-4, 391-410 (2006). MSC: 65N55 65N30 65N12 35J25 35Q30 PDF BibTeX XML Cite \textit{V. V. K. S. Kumar} et al., Numer. Funct. Anal. Optim. 27, No. 3--4, 391--410 (2006; Zbl 1094.65123) Full Text: DOI OpenURL
Pardo, D.; Demkowicz, L. Integration of \(hp\)-adaptivity and a two-grid solver for elliptic problems. (English) Zbl 1093.65112 Comput. Methods Appl. Mech. Eng. 195, No. 7-8, 674-710 (2006). MSC: 65N30 65N55 65F10 65F35 35J25 PDF BibTeX XML Cite \textit{D. Pardo} and \textit{L. Demkowicz}, Comput. Methods Appl. Mech. Eng. 195, No. 7--8, 674--710 (2006; Zbl 1093.65112) Full Text: DOI OpenURL
Brenner, Susanne C.; Sung, Li-yeng Multigrid algorithms for \(C^0\) interior penalty methods. (English) Zbl 1114.65151 SIAM J. Numer. Anal. 44, No. 1, 199-223 (2006). Reviewer: Piotr Matus (Minsk) MSC: 65N55 65N30 35J40 PDF BibTeX XML Cite \textit{S. C. Brenner} and \textit{L.-y. Sung}, SIAM J. Numer. Anal. 44, No. 1, 199--223 (2006; Zbl 1114.65151) Full Text: DOI OpenURL
Kwak, Do Y.; Lee, Jun S. The \(V\)-cycle multigrid convergence of some finite difference scheme for the Helmholtz equation. (English. Russian summary) Zbl 1078.65090 Sib. Zh. Vychisl. Mat. 8, No. 3, 207-218 (2005). Reviewer: N. I. Alexandrova (Novosibirsk) MSC: 65N12 65N55 65N06 35J05 PDF BibTeX XML Cite \textit{D. Y. Kwak} and \textit{J. S. Lee}, Sib. Zh. Vychisl. Mat. 8, No. 3, 207--218 (2005; Zbl 1078.65090) OpenURL
Zhao, Jie Convergence of V- and F-cycle multigrid methods for the biharmonic problem using the Hsieh-Clough-Tocher element. (English) Zbl 1073.65119 Numer. Methods Partial Differ. Equations 21, No. 3, 451-471 (2005). Reviewer: R. Militaru (Craiova) MSC: 65N12 65N30 65N55 35J40 PDF BibTeX XML Cite \textit{J. Zhao}, Numer. Methods Partial Differ. Equations 21, No. 3, 451--471 (2005; Zbl 1073.65119) Full Text: DOI OpenURL
Gileva, L. V.; Shajdurov, V. V. Two multigrid iterative algorithms for a discrete analogue of the biharmonic equation. (Russian. English summary) Zbl 1068.65141 Sib. Zh. Vychisl. Mat. 7, No. 3, 213-228 (2004). Reviewer: V. I. Pinchukov (Novosibirsk) MSC: 65N55 65N30 65N12 65F10 35J40 31A30 PDF BibTeX XML Cite \textit{L. V. Gileva} and \textit{V. V. Shajdurov}, Sib. Zh. Vychisl. Mat. 7, No. 3, 213--228 (2004; Zbl 1068.65141) OpenURL
Zhao, Jie Convergence of \(V\)-cycle and \(F\)-cycle multigrid methods for the biharmonic problem using the Morley element. (English) Zbl 1065.65139 ETNA, Electron. Trans. Numer. Anal. 17, 112-132 (2004). MSC: 65N55 65N30 31A30 35J40 PDF BibTeX XML Cite \textit{J. Zhao}, ETNA, Electron. Trans. Numer. Anal. 17, 112--132 (2004; Zbl 1065.65139) Full Text: EuDML EMIS OpenURL
Kwak, D. Y.; Lee, J. S. Multigrid analysis for higher order finite difference scheme. (English) Zbl 1085.65116 J. Numer. Math. 12, No. 4, 285-296 (2004). Reviewer: Snezhana Gocheva-Ilieva (Plovdiv) MSC: 65N55 65N06 35J25 65N12 65N50 PDF BibTeX XML Cite \textit{D. Y. Kwak} and \textit{J. S. Lee}, J. Numer. Math. 12, No. 4, 285--296 (2004; Zbl 1085.65116) Full Text: DOI OpenURL
Chang, S.-L.; Chen, H.-S.; Chien, C.-S. Multigrid-conjugate gradient type methods for reaction-diffusion systems. (English) Zbl 1064.65040 Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 10, 3587-3605 (2004). MSC: 65H17 65H20 35K57 65M55 65M06 65N55 35P30 65N25 PDF BibTeX XML Cite \textit{S. L. Chang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 14, No. 10, 3587--3605 (2004; Zbl 1064.65040) Full Text: DOI OpenURL
Aricò, Antonio; Donatelli, M.; Serra Capizzano, Stefano V-cycle optimal convergence for certain (multilevel) structured linear systems. (English) Zbl 1105.65322 SIAM J. Matrix Anal. Appl. 26, No. 1, 186-214 (2004). MSC: 65F10 65N55 35J25 PDF BibTeX XML Cite \textit{A. Aricò} et al., SIAM J. Matrix Anal. Appl. 26, No. 1, 186--214 (2004; Zbl 1105.65322) Full Text: DOI OpenURL
Efremov, V. V.; Shaidurov, V. V. A multigrid method with red-black elimination of unknowns without smoothing iterations. (Russian. English summary) Zbl 1051.65118 Vychisl. Tekhnol. 9, No. 2, 42-51 (2004). Reviewer: V. I. Pinchukov (Novosibirsk) MSC: 65N55 35J05 65N06 65N12 PDF BibTeX XML Cite \textit{V. V. Efremov} and \textit{V. V. Shaidurov}, Vychisl. Tekhnol. 9, No. 2, 42--51 (2004; Zbl 1051.65118) OpenURL
Brenner, Susanne C. Convergence of nonconforming \(V\)-cycle and \(F\)-cycle multigrid algorithms for second order elliptic boundary value problems. (English) Zbl 1052.65102 Math. Comput. 73, No. 247, 1041-1066 (2004). Reviewer: Steve F. McCormick (Boulder) MSC: 65N12 65N55 65N30 65F10 35J25 PDF BibTeX XML Cite \textit{S. C. Brenner}, Math. Comput. 73, No. 247, 1041--1066 (2004; Zbl 1052.65102) Full Text: DOI OpenURL
Kim, Hwanho; Xu, Jinchao; Zikatanov, Ludmil Uniformly convergent multigrid methods for convection–diffusion problems without any constraint on coarse grids. (English) Zbl 1039.65090 Adv. Comput. Math. 20, No. 4, 385-399 (2004). MSC: 65N55 65N15 35J25 65F10 65F35 65N12 65N30 PDF BibTeX XML Cite \textit{H. Kim} et al., Adv. Comput. Math. 20, No. 4, 385--399 (2004; Zbl 1039.65090) Full Text: DOI OpenURL
Chien, C.-S.; Jeng, B.-W. Symmetry reductions and a posteriori finite element error estimators for bifurcation problems. (English) Zbl 1114.65135 Matimyas Mat. 26, No. 1-3, 37-46 (2003). MSC: 65N25 35P30 35J65 65N30 65N15 35B32 PDF BibTeX XML Cite \textit{C. S. Chien} and \textit{B. W. Jeng}, Matimyás Mat. 26, No. 1--3, 37--46 (2003; Zbl 1114.65135) OpenURL
Bi, Chunjia; Li, Likang Multigrid for the mortar element method with locally \(P_1\) nonconforming elements. (English) Zbl 1064.65145 Numer. Math., J. Chin. Univ. 12, No. 2, 193-204 (2003). MSC: 65N55 65N30 35J05 65N12 65F10 65F35 PDF BibTeX XML Cite \textit{C. Bi} and \textit{L. Li}, Numer. Math., J. Chin. Univ. 12, No. 2, 193--204 (2003; Zbl 1064.65145) OpenURL
Gopalakrishnan, J.; Kanschat, G. Multilevel preconditioners for the interior penalty method. (English) Zbl 1043.65067 Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 795-804 (2003). MSC: 65F35 65F10 65N30 65N55 35J05 PDF BibTeX XML Cite \textit{J. Gopalakrishnan} and \textit{G. Kanschat}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer. 795--804 (2003; Zbl 1043.65067) Full Text: DOI OpenURL
Zhang, Lei; Yang, Min A \(V\)-cycle multigrid method for the mortar element method with \(P1\) nonconforming element. (Chinese. English summary) Zbl 1039.65092 J. Nanjing Norm. Univ., Nat. Sci. Ed. 26, No. 1, 45-50 (2003). MSC: 65N55 65N30 65N12 35J05 PDF BibTeX XML Cite \textit{L. Zhang} and \textit{M. Yang}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 26, No. 1, 45--50 (2003; Zbl 1039.65092) OpenURL
Shi, Zhongci; Xu, Xuejun A V-cycle multigrid for quadrilateral rotated \(Q_1\) element with numerical integration. (English) Zbl 1036.65110 J. Comput. Math. 21, No. 5, 545-554 (2003). Reviewer: Song Jiang (Beijing) MSC: 65N55 65N30 65N12 35J25 35Q30 PDF BibTeX XML Cite \textit{Z. Shi} and \textit{X. Xu}, J. Comput. Math. 21, No. 5, 545--554 (2003; Zbl 1036.65110) OpenURL
Klusák, Jan; Knésl, Zdeněk Evaluation of the threshold values for the propagation of a fatigue crack starting at a V-notch. (English) Zbl 1049.74756 Comput. Assist. Mech. Eng. Sci. 9, No. 4, 459-468 (2002). MSC: 74R10 74G70 74S05 PDF BibTeX XML Cite \textit{J. Klusák} and \textit{Z. Knésl}, Comput. Assist. Mech. Eng. Sci. 9, No. 4, 459--468 (2002; Zbl 1049.74756) OpenURL
Brenner, Susanne C. Smoothers, mesh dependent norms, interpolation and multigrid. (English) Zbl 1022.65134 Appl. Numer. Math. 43, No. 1-2, 45-56 (2002). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65N55 35J25 65N12 65N15 65N30 PDF BibTeX XML Cite \textit{S. C. Brenner}, Appl. Numer. Math. 43, No. 1--2, 45--56 (2002; Zbl 1022.65134) Full Text: DOI OpenURL
Xu, Xuejun On \(V\)-cycle multigrid implementation for plate elements. (English) Zbl 1023.74049 Appl. Math. Comput. 125, No. 2-3, 141-153 (2002). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{X. Xu}, Appl. Math. Comput. 125, No. 2--3, 141--153 (2002; Zbl 1023.74049) Full Text: DOI OpenURL
Kwak, Do Y. A general multigrid framework for a class of perturbed problems. (English) Zbl 1014.65132 Chen, Zhangxin (ed.) et al., Fluid flow and transport in porous media: mathematical and numerical treatment. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 17-21, 2001. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 295, 317-325 (2002). MSC: 65N55 65N06 65F10 35J25 65N30 65N12 PDF BibTeX XML Cite \textit{D. Y. Kwak}, Contemp. Math. 295, 317--325 (2002; Zbl 1014.65132) OpenURL
Allen, C. B. Multigrid convergence of inviscid fixed- and rotary-wing flows. (English) Zbl 1034.76039 Int. J. Numer. Methods Fluids 39, No. 2, 121-140 (2002). MSC: 76M20 76U05 76N15 65M55 PDF BibTeX XML Cite \textit{C. B. Allen}, Int. J. Numer. Methods Fluids 39, No. 2, 121--140 (2002; Zbl 1034.76039) Full Text: DOI OpenURL
Xu, Xuejun; Li, Likang; Chen, Wenbin A multigrid method for the mortar-type Morley element approximation of a plate bending problem. (English) Zbl 1049.74056 SIAM J. Numer. Anal. 39, No. 5, 1712-1731 (2002). Reviewer: Fumio Kikuchi (Tokyo) MSC: 74S05 74K20 65N30 65N55 PDF BibTeX XML Cite \textit{X. Xu} et al., SIAM J. Numer. Anal. 39, No. 5, 1712--1731 (2002; Zbl 1049.74056) Full Text: DOI OpenURL
Chou, So-Hsiang; Kwak, Do Y. Multigrid algorithms for a vertex-centered covolume method for elliptic problems. (English) Zbl 0995.65127 Numer. Math. 90, No. 3, 441-458 (2002). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65F10 35J25 65N12 65N30 PDF BibTeX XML Cite \textit{S.-H. Chou} and \textit{D. Y. Kwak}, Numer. Math. 90, No. 3, 441--458 (2002; Zbl 0995.65127) Full Text: DOI OpenURL
Brenner, Susanne C. Convergence of the multigrid \(V\)-cycle algorithm for second-order boundary value problems without full elliptic regularity. (English) Zbl 0990.65121 Math. Comput. 71, No. 238, 507-525 (2002). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N12 65N55 65N30 35J25 PDF BibTeX XML Cite \textit{S. C. Brenner}, Math. Comput. 71, No. 238, 507--525 (2002; Zbl 0990.65121) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Chen}, Appl. Math. Comput. 119, No. 2--3, 229--247 (2001; Zbl 1023.65128) Full Text: DOI OpenURL
Globisch, G. Multigrid methods for interface problems. (English. Russian summary) Zbl 0993.65140 Sib. Zh. Vychisl. Mat. 4, No. 4, 331-352 (2001). Reviewer: V.Grebenev (Novosibirsk) MSC: 65N55 65Y20 65N30 65N12 35J25 PDF BibTeX XML Cite \textit{G. Globisch}, Sib. Zh. Vychisl. Mat. 4, No. 4, 331--352 (2001; Zbl 0993.65140) OpenURL
Silvester, David; Elman, Howard; Kay, David; Wathen, Andrew Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. (English) Zbl 0983.76051 J. Comput. Appl. Math. 128, No. 1-2, 261-279 (2001). MSC: 76M10 76D05 65M55 PDF BibTeX XML Cite \textit{D. Silvester} et al., J. Comput. Appl. Math. 128, No. 1--2, 261--279 (2001; Zbl 0983.76051) Full Text: DOI OpenURL
Bramble, James H.; Zhang, Xuejun Uniform convergence of the multigrid V-cycle for an anisotropic problem. (English) Zbl 0967.65104 Math. Comput. 70, No. 234, 453-470 (2001). Reviewer: Z.Dżygadło (Warszawa) MSC: 65N12 65F10 65N55 65N30 35J25 PDF BibTeX XML Cite \textit{J. H. Bramble} and \textit{X. Zhang}, Math. Comput. 70, No. 234, 453--470 (2001; Zbl 0967.65104) Full Text: DOI OpenURL
Kwak, Do Young Multigrid method: Brief survey and recent development. (English) Zbl 0983.65131 Cho, Yeol Je (ed.), Differential equations and applications. Proceedings of the international conference on mathematical analysis and applications, Chinju, China, August 3-4, 1998. Huntington, NY: Nova Science Publishers. 71-90 (2000). MSC: 65N55 65-02 65N30 35J05 65F10 PDF BibTeX XML Cite \textit{D. Y. Kwak}, in: Differential equations and applications. Proceedings of the internatinal conference on mathematical analysis and applications, Chinju, China, August 3--4, 1998. Huntington, NY: Nova Science Publishers. 71--90 (2000; Zbl 0983.65131) OpenURL
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 PDF BibTeX XML Cite \textit{Z. Shi} and \textit{X. Xu}, Sci. China, Ser. A 43, No. 7, 673--684 (2000; Zbl 0969.65110) Full Text: DOI OpenURL
Shi, Zhongci; Xu, Xuejun A V-cycle multigrid method for TRUNC plate element. (English) Zbl 0963.74065 Comput. Methods Appl. Mech. Eng. 188, No. 1-3, 483-493 (2000). MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{Z. Shi} and \textit{X. Xu}, Comput. Methods Appl. Mech. Eng. 188, No. 1--3, 483--493 (2000; Zbl 0963.74065) Full Text: DOI OpenURL
Wang, Z. J. A fast nested multigrid viscous flow solver for adaptive Cartesian/quad grids. (English) Zbl 0989.76053 Int. J. Numer. Methods Fluids 33, No. 5, 657-680 (2000). MSC: 76M12 76N15 65M55 65M50 PDF BibTeX XML Cite \textit{Z. J. Wang}, Int. J. Numer. Methods Fluids 33, No. 5, 657--680 (2000; Zbl 0989.76053) Full Text: DOI OpenURL
Wheeler, Mary F.; Yotov, Ivan Multigrid on the interface for mortar mixed finite element methods for elliptic problems. (English) Zbl 0970.76059 Comput. Methods Appl. Mech. Eng. 184, No. 2-4, 287-302 (2000). MSC: 76M10 76S05 65N55 PDF BibTeX XML Cite \textit{M. F. Wheeler} and \textit{I. Yotov}, Comput. Methods Appl. Mech. Eng. 184, No. 2--4, 287--302 (2000; Zbl 0970.76059) Full Text: DOI OpenURL
Darmofal, David L.; Moinier, Pierre; Giles, Michael B. Eigenmode analysis of boundary conditions for the one-dimensional preconditioned Euler equations. (English) Zbl 0972.76065 J. Comput. Phys. 160, No. 1, 369-384 (2000). MSC: 76M12 76M20 76G25 PDF BibTeX XML Cite \textit{D. L. Darmofal} et al., J. Comput. Phys. 160, No. 1, 369--384 (2000; Zbl 0972.76065) Full Text: DOI Link OpenURL
Metsch, Klaus; Webb, Bridget S. A note on the cycle structures of automorphisms of \(2\)-\((v,k,1)\) designs. (English) Zbl 0977.05007 Ars Comb. 51, 224-228 (1999). Reviewer: Aleš Drápal (Praha) MSC: 05B05 PDF BibTeX XML Cite \textit{K. Metsch} and \textit{B. S. Webb}, Ars Comb. 51, 224--228 (1999; Zbl 0977.05007) OpenURL
Tu, Chih-Chien; Cheng, Hsuanjen; Shieh, Ce-Kuen Some remarks on multilevel Schwarz methods with uniform and partial refinement. (English) Zbl 0992.65136 Far East J. Math. Sci. (FJMS) 1, No. 6, 969-993 (1999). MSC: 65N55 65N30 65F10 65F35 35J25 65N50 PDF BibTeX XML Cite \textit{C.-C. Tu} et al., Far East J. Math. Sci. (FJMS) 1, No. 6, 969--993 (1999; Zbl 0992.65136) OpenURL
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 PDF BibTeX XML Cite \textit{X. Xu}, Comput. Methods Appl. Mech. Eng. 174, No. 1--2, 191--201 (1999; Zbl 0958.74073) Full Text: DOI OpenURL
Schöberl, Joachim Multigrid methods for a parameter-dependent problem in primal variables. (English) Zbl 0957.74059 Numer. Math. 84, No. 1, 97-119 (1999). MSC: 74S05 74B05 65N55 PDF BibTeX XML Cite \textit{J. Schöberl}, Numer. Math. 84, No. 1, 97--119 (1999; Zbl 0957.74059) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. Chen} and \textit{W. Chen}, Numer. Math., J. Chin. Univ. 8, No. 1, 67--82 (1999; Zbl 0948.65121) OpenURL
Xu, Xuejun; Li, Likang A V-cycle multigrid method for the plate bending problem discretized by nonconforming finite elements. (English) Zbl 0956.74067 J. Comput. Math. 17, No. 5, 533-544 (1999). Reviewer: Prabhat Kumar Mahanti (Mesra(Ranchi)) MSC: 74S05 74K20 PDF BibTeX XML Cite \textit{X. Xu} and \textit{L. Li}, J. Comput. Math. 17, No. 5, 533--544 (1999; Zbl 0956.74067) OpenURL
Xu, Xuejun An optimal \(V\)-cycle multigrid method for rotated \(Q1\) nonconforming element. (English. Chinese original) Zbl 0982.74554 Chin. J. Numer. Math. Appl. 21, No. 3, 98-104 (1999); translation from Math. Numer. Sin. 21, No. 2, 251-256 (1999). MSC: 74S05 65N30 PDF BibTeX XML Cite \textit{X. Xu}, Chin. J. Numer. Math. Appl. 21, No. 3, 151--256 (1999; Zbl 0982.74554); translation from Math. Numer. Sin. 21, No. 2, 251--256 (1999) OpenURL
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 PDF BibTeX XML Cite \textit{X. Xu} and \textit{L. Li}, Appl. Math. Comput. 104, No. 2--3, 191--206 (1999; Zbl 0935.65140) Full Text: DOI OpenURL
Brenner, Susanne C. Convergence of nonconforming multigrid methods without full elliptic regularity. (English) Zbl 0912.65099 Math. Comput. 68, No. 225, 25-53 (1999). Reviewer: M.Bernadou (Le Chesnay) MSC: 65N55 65N30 65N12 35J25 35J40 PDF BibTeX XML Cite \textit{S. C. Brenner}, Math. Comput. 68, No. 225, 25--53 (1999; Zbl 0912.65099) Full Text: DOI OpenURL
Chen, Zhangxin; Kwak, Do Y. \(\mathcal V\)-cycle Galerkin-multigrid methods for nonconforming methods for nonsymmetric and indefinite problems. (English) Zbl 0929.65123 Appl. Numer. Math. 28, No. 1, 17-35 (1998). MSC: 65N55 65N30 65N12 35J25 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{D. Y. Kwak}, Appl. Numer. Math. 28, No. 1, 17--35 (1998; Zbl 0929.65123) Full Text: DOI OpenURL
Chen, Jinru; Li, Likang Preconditioning projection nonconforming element method for the lowest-order Raviart-Thomas mixed triangular element method. (English) Zbl 0943.65129 Appl. Math. Comput. 93, No. 1, 31-49 (1998). MSC: 65N30 65F35 35J25 PDF BibTeX XML Cite \textit{J. Chen} and \textit{L. Li}, Appl. Math. Comput. 93, No. 1, 31--49 (1998; Zbl 0943.65129) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{X. Xu} and \textit{L. Li}, Appl. Math. Comput. 93, No. 2--3, 233--258 (1998; Zbl 0960.74511) Full Text: DOI OpenURL
Shi, Zhong-Ci; Jiang, Bin Multigrid method for Wilson nonconforming finite element with numerical integration. (English) Zbl 0930.65133 Fujita, H. (ed.) et al., Recent developments in domain decomposition methods and flow problems. Dedicated to Professor Hideo Kawarada on the occasion of his 60th birthday. Tokyo: Gakkotosho. GAKUTO Int. Ser., Math. Sci. Appl. 11, 72-94 (1998). MSC: 65N55 65N12 65N30 35J25 PDF BibTeX XML Cite \textit{Z.-C. Shi} and \textit{B. Jiang}, GAKUTO Int. Ser., Math. Sci. Appl. 11, 72--94 (1998; Zbl 0930.65133) OpenURL
Polstyanko, Sergey V.; Lee, Jin-Fa Two-level hierarchical FEM method for modeling passive microwave devices. (English) Zbl 0923.65095 J. Comput. Phys. 140, No. 2, 400-420 (1998). Reviewer: S.F.McCormick (Boulder) MSC: 65Z05 35Q60 78A55 65F10 65N55 65N30 65N12 PDF BibTeX XML Cite \textit{S. V. Polstyanko} and \textit{J.-F. Lee}, J. Comput. Phys. 140, No. 2, 400--420 (1998; Zbl 0923.65095) Full Text: DOI Link OpenURL
Starke, Gerhard Multilevel computation of streamline diffusion finite element discretizations for convection-diffusion problems. (English) Zbl 0925.65189 Griebel, Michael (ed.) et al., Large-scale scientific computations of engineering and environmental problems. Proceedings of the 1st workshop, Varna, Bulgaria, June 7–11, 1997. Wiesbaden: Vieweg. Notes Numer. Fluid Mech. 62, 281-289 (1998). MSC: 65N30 65N55 65F10 76M10 76R99 PDF BibTeX XML Cite \textit{G. Starke}, in: Large-scale scientific computations of engineering and environmental problems. Proceedings of the 1st workshop, Varna, Bulgaria, June 7--11, 1997. Wiesbaden: Vieweg. 281--289 (1998; Zbl 0925.65189) OpenURL
Gines, D.; Beylkin, G.; Dunn, J. LU factorization of non-standard forms and direct multiresolution solvers. (English) Zbl 0914.65017 Appl. Comput. Harmon. Anal. 5, No. 2, 156-201 (1998). Reviewer: Gisbert Stoyan (Budapest) MSC: 65F05 65N30 65F50 35J25 35S15 PDF BibTeX XML Cite \textit{D. Gines} et al., Appl. Comput. Harmon. Anal. 5, No. 2, 156--201 (1998; Zbl 0914.65017) Full Text: DOI Link OpenURL
Neuss, Nicolas V-cycle convergence with unsymmetric smoothers and application to an anisotropic model problem. (English) Zbl 0947.65132 SIAM J. Numer. Anal. 35, No. 3, 1201-1212 (1998). Reviewer: R.R.D.Lazarov (College Station) MSC: 65N55 65F10 35J25 65N12 65N30 PDF BibTeX XML Cite \textit{N. Neuss}, SIAM J. Numer. Anal. 35, No. 3, 1201--1212 (1998; Zbl 0947.65132) Full Text: DOI OpenURL
Mitchell, William F. The full domain partition approach to distributing adaptive grids. (English) Zbl 0903.65092 Appl. Numer. Math. 26, No. 1-2, 265-275 (1998). Reviewer: A.Galántai (Miskolc-Egyetemvaros) MSC: 65N55 65N50 65Y05 35J25 PDF BibTeX XML Cite \textit{W. F. Mitchell}, Appl. Numer. Math. 26, No. 1--2, 265--275 (1998; Zbl 0903.65092) Full Text: DOI OpenURL