Huynh, Phuoc-Toan; Cao, Yanzhao; Hoang, Thi-Thao-Phuong Fast and accuracy-preserving domain decomposition methods for reduced fracture models with nonconforming time grids. (English) Zbl 07708365 J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023). MSC: 65M55 65N30 76S05 35K20 PDF BibTeX XML Cite \textit{P.-T. Huynh} et al., J. Sci. Comput. 96, No. 1, Paper No. 23, 26 p. (2023; Zbl 07708365) Full Text: DOI arXiv
Thi-Thao-Phuong Hoang; Pop, Iuliu Sorin Iterative methods with nonconforming time grids for nonlinear flow problems in porous media. (English) Zbl 1516.65082 Acta Math. Vietnam. 48, No. 1, 29-49 (2023). MSC: 65M55 65M60 65M06 65N30 65H10 65F10 65Y05 65M50 76S05 35K55 35Q35 PDF BibTeX XML Cite \textit{Thi-Thao-Phuong Hoang} and \textit{I. S. Pop}, Acta Math. Vietnam. 48, No. 1, 29--49 (2023; Zbl 1516.65082) Full Text: DOI
Quan, Qimeng; Ji, Xia; Zhang, Shuo A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials. (English) Zbl 1481.65231 Calcolo 59, No. 1, Paper No. 5, 32 p. (2022). MSC: 65N30 65N15 58A12 PDF BibTeX XML Cite \textit{Q. Quan} et al., Calcolo 59, No. 1, Paper No. 5, 32 p. (2022; Zbl 1481.65231) Full Text: DOI arXiv
Ahmed, Elyes; Japhet, Caroline; Kern, Michel Space-time domain decomposition for two-phase flow between different rock types. (English) Zbl 1506.76162 Comput. Methods Appl. Mech. Eng. 371, Article ID 113294, 30 p. (2020). MSC: 76S05 74F10 74L10 PDF BibTeX XML Cite \textit{E. Ahmed} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113294, 30 p. (2020; Zbl 1506.76162) Full Text: DOI
Del Rey Fernández, David C.; Carpenter, Mark H.; Dalcin, Lisandro; Fredrich, Lucas; Winters, Andrew R.; Gassner, Gregor J.; Parsani, Matteo Entropy-stable \(p\)-nonconforming discretizations with the summation-by-parts property for the compressible Navier-Stokes equations. (English) Zbl 07336673 Comput. Fluids 210, Article ID 104631, 14 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{D. C. Del Rey Fernández} et al., Comput. Fluids 210, Article ID 104631, 14 p. (2020; Zbl 07336673) Full Text: DOI arXiv
Ålund, Oskar; Nordström, Jan Encapsulated high order difference operators on curvilinear non-conforming grids. (English) Zbl 1451.65103 J. Comput. Phys. 385, 209-224 (2019). MSC: 65M06 65M12 65M50 PDF BibTeX XML Cite \textit{O. Ålund} and \textit{J. Nordström}, J. Comput. Phys. 385, 209--224 (2019; Zbl 1451.65103) Full Text: DOI Link
Cerveny, Jakub; Dobrev, Veselin; Kolev, Tzanio Nonconforming mesh refinement for high-order finite elements. (English) Zbl 1471.65210 SIAM J. Sci. Comput. 41, No. 4, C367-C392 (2019). MSC: 65N50 65N30 65Y05 PDF BibTeX XML Cite \textit{J. Cerveny} et al., SIAM J. Sci. Comput. 41, No. 4, C367--C392 (2019; Zbl 1471.65210) Full Text: DOI arXiv
Köppel, Markus; Martin, Vincent; Roberts, Jean E. A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures. (English) Zbl 1425.35037 GEM. Int. J. Geomath. 10, No. 1, Paper No. 7, 29 p. (2019). MSC: 35J57 35J50 65N12 65N85 76M10 76S05 PDF BibTeX XML Cite \textit{M. Köppel} et al., GEM. Int. J. Geomath. 10, Paper No. 7, 29 p. (2019; Zbl 1425.35037) Full Text: DOI HAL
Köppel, Markus; Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. A Lagrange multiplier method for a discrete fracture model for flow in porous media. (English) Zbl 1414.76059 Comput. Geosci. 23, No. 2, 239-253 (2019). MSC: 76S05 76M10 PDF BibTeX XML Cite \textit{M. Köppel} et al., Comput. Geosci. 23, No. 2, 239--253 (2019; Zbl 1414.76059) Full Text: DOI HAL
Hassan, Sarah Ali; Japhet, Caroline; Vohralík, Martin A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations. (English) Zbl 1397.65167 ETNA, Electron. Trans. Numer. Anal. 49, 151-181 (2018). MSC: 65M15 65M22 65M55 65F10 76S05 80A20 PDF BibTeX XML Cite \textit{S. A. Hassan} et al., ETNA, Electron. Trans. Numer. Anal. 49, 151--181 (2018; Zbl 1397.65167) Full Text: DOI Link
Hoang, Thao-Phuong; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition for reduced fracture models in mixed formulation. (English) Zbl 1382.76164 SIAM J. Numer. Anal. 54, No. 1, 288-316 (2016). MSC: 76M10 65M60 35K20 65M50 65M55 74R10 76S05 PDF BibTeX XML Cite \textit{T.-P. Hoang} et al., SIAM J. Numer. Anal. 54, No. 1, 288--316 (2016; Zbl 1382.76164) Full Text: DOI
Vanharen, Julien; Puigt, Guillaume; Montagnac, Marc Theoretical and numerical analysis of nonconforming grid interface for unsteady flows. (English) Zbl 1351.76189 J. Comput. Phys. 285, 111-132 (2015). MSC: 76M20 65M06 65M50 76G25 PDF BibTeX XML Cite \textit{J. Vanharen} et al., J. Comput. Phys. 285, 111--132 (2015; Zbl 1351.76189) Full Text: DOI
Hu, Jun; Zhang, Shangyou Nonconforming finite element methods on quadrilateral meshes. (English) Zbl 1310.65147 Sci. China, Math. 56, No. 12, 2599-2614 (2013). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N50 35J05 PDF BibTeX XML Cite \textit{J. Hu} and \textit{S. Zhang}, Sci. China, Math. 56, No. 12, 2599--2614 (2013; Zbl 1310.65147) Full Text: DOI arXiv
Hoang, Thi-Thao-Phuong; Jaffré, Jérôme; Japhet, Caroline; Kern, Michel; Roberts, Jean E. Space-time domain decomposition methods for diffusion problems in mixed formulations. (English) Zbl 1295.65095 SIAM J. Numer. Anal. 51, No. 6, 3532-3559 (2013). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M55 35K20 65M60 65M50 65M12 65M20 PDF BibTeX XML Cite \textit{T.-T.-P. Hoang} et al., SIAM J. Numer. Anal. 51, No. 6, 3532--3559 (2013; Zbl 1295.65095) Full Text: DOI arXiv
Bradji, Abdallah; Fuhrmann, Jürgen Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. (English) Zbl 1274.65251 Appl. Math., Praha 58, No. 1, 1-38 (2013). Reviewer: Václav Kučera (Praha) MSC: 65M08 65M15 35K05 65M50 PDF BibTeX XML Cite \textit{A. Bradji} and \textit{J. Fuhrmann}, Appl. Math., Praha 58, No. 1, 1--38 (2013; Zbl 1274.65251) Full Text: DOI Link
Yu, Zhiyun; Shi, Dongwei; Shi, Dongyang Nonconforming finite element analysis with moving grids for nonlinear parabolic equations. (Chinese. English summary) Zbl 1274.65279 J. Henan Norm. Univ., Nat. Sci. 40, No. 4, 1-4, 8 (2012). MSC: 65M60 35K55 65M50 65M12 65M15 PDF BibTeX XML Cite \textit{Z. Yu} et al., J. Henan Norm. Univ., Nat. Sci. 40, No. 4, 1--4, 8 (2012; Zbl 1274.65279)
Zhang, Feiran; Shi, Dongyang; Chen, Jinhuan A nonconforming finite element method for generalized nerve conductive equations on moving grids. (Chinese. English summary) Zbl 1274.65307 Acta Math. Appl. Sin. 35, No. 3, 471-482 (2012). MSC: 65N30 65N12 65N15 35Q92 92C20 PDF BibTeX XML Cite \textit{F. Zhang} et al., Acta Math. Appl. Sin. 35, No. 3, 471--482 (2012; Zbl 1274.65307)
Halpern, Laurence; Japhet, Caroline; Szeftel, Jérémie Optimized Schwarz waveform relaxation and discontinuous Galerkin time stepping for heterogeneous problems. (English) Zbl 1262.65127 SIAM J. Numer. Anal. 50, No. 5, 2588-2611 (2012). Reviewer: Vit Dolejsi (Praha) MSC: 65M55 65M15 65M50 35K20 65M20 65M60 PDF BibTeX XML Cite \textit{L. Halpern} et al., SIAM J. Numer. Anal. 50, No. 5, 2588--2611 (2012; Zbl 1262.65127) Full Text: DOI arXiv
Kim, Ji Hyun A new family of nonconforming mixed finite elements for second order elliptic problems in \(\mathbb R^3\). (English) Zbl 1399.35172 Int. Electron. J. Pure Appl. Math. 3, No. 4, 309-320 (2011). MSC: 35J25 65N30 PDF BibTeX XML Cite \textit{J. H. Kim}, Int. Electron. J. Pure Appl. Math. 3, No. 4, 309--320 (2011; Zbl 1399.35172) Full Text: Link
Shi, Dongyang; Wang, Lin An anisotropic nonconforming finite element scheme with moving grids for parabolic integro-differential equations. (English) Zbl 1271.65158 J. Syst. Sci. Complex. 24, No. 5, 1020-1032 (2011). MSC: 65R20 45K05 45A05 PDF BibTeX XML Cite \textit{D. Shi} and \textit{L. Wang}, J. Syst. Sci. Complex. 24, No. 5, 1020--1032 (2011; Zbl 1271.65158) 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 PDF BibTeX XML Cite \textit{P. Huang} and \textit{J. Chen}, Math. Numer. Sin. 33, No. 4, 397--408 (2011; Zbl 1249.65238)
Eymard, R.; Gallouët, T.; Herbin, R. Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: A scheme using stabilization and hybrid interfaces. (English) Zbl 1202.65144 IMA J. Numer. Anal. 30, No. 4, 1009-1043 (2010). MSC: 65N08 65N12 35J25 65N15 PDF BibTeX XML Cite \textit{R. Eymard} et al., IMA J. Numer. Anal. 30, No. 4, 1009--1043 (2010; Zbl 1202.65144) Full Text: DOI arXiv HAL
Matthies, G.; Schieweck, F. Nonconforming finite elements of higher order satisfying a new compatibility condition. (English) Zbl 1155.65102 J. Numer. Math. 16, No. 1, 23-50 (2008). Reviewer: Angela Handlovičová (Bratislava) MSC: 65N30 65N15 35J25 65N50 65Y05 PDF BibTeX XML Cite \textit{G. Matthies} and \textit{F. Schieweck}, J. Numer. Math. 16, No. 1, 23--50 (2008; Zbl 1155.65102) Full Text: DOI
Flemisch, Bernd; Wohlmuth, Barbara I. Nonconforming discretization techniques for coupled problems. (English) Zbl 1298.74230 Helmig, Rainer (ed.) et al., Multifield problems in solid and fluid mechanics. Berlin: Springer (ISBN 3-540-34959-6/hbk). Lecture Notes in Applied and Computational Mechanics 28, 531-560 (2006). MSC: 74S05 76M10 65N30 65N55 PDF BibTeX XML Cite \textit{B. Flemisch} and \textit{B. I. Wohlmuth}, Lect. Notes Appl. Comput. Mech. 28, 531--560 (2006; Zbl 1298.74230) Full Text: DOI
Shi, Dong-yang; Mao, Shi-peng; Chen, Shao-chun On the anisotropic accuracy analysis of ACM’s nonconforming finite element. (English) Zbl 1087.65103 J. Comput. Math. 23, No. 6, 635-646 (2005). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65N15 65N30 65N12 35J40 PDF BibTeX XML Cite \textit{D.-y. Shi} et al., J. Comput. Math. 23, No. 6, 635--646 (2005; Zbl 1087.65103)
Girault, Vivette; Rivière, Béatrice; Wheeler, Mary F. A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems. (English) Zbl 1057.35029 Math. Comput. 74, No. 249, 53-84 (2005). Reviewer: Angela Handlovičová (Bratislava) MSC: 35Q30 76M10 76D07 76D05 76M25 PDF BibTeX XML Cite \textit{V. Girault} et al., Math. Comput. 74, No. 249, 53--84 (2005; Zbl 1057.35029) Full Text: DOI
Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F. A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. (English) Zbl 1019.65086 Numer. Math. 92, No. 4, 593-620 (2002). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65N30 65N50 35J25 65N55 35B25 65N15 PDF BibTeX XML Cite \textit{Y. Achdou} et al., Numer. Math. 92, No. 4, 593--620 (2002; Zbl 1019.65086) Full Text: DOI
Carstensen, Carsten; Bartels, Sören Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. I: Low order conforming, nonconforming, and mixed FEM. (English) Zbl 0997.65126 Math. Comput. 71, No. 239, 945-969 (2002). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65N30 65N50 65N15 35J05 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{S. Bartels}, Math. Comput. 71, No. 239, 945--969 (2002; Zbl 0997.65126) Full Text: DOI
Arbogast, Todd; Cowsar, Lawrence C.; Wheeler, Mary F.; Yotov, Ivan Mixed finite element methods on nonmatching multiblock grids. (English) Zbl 1001.65126 SIAM J. Numer. Anal. 37, No. 4, 1295-1315 (2000). MSC: 65N30 65Y05 35J25 65N12 65N15 65N55 PDF BibTeX XML Cite \textit{T. Arbogast} et al., SIAM J. Numer. Anal. 37, No. 4, 1295--1315 (2000; Zbl 1001.65126) Full Text: DOI
Braess, Dietrich; Dryja, M.; Hackbusch, W. A multigrid method for nonconforming FE-discretisations with application to non-matching grids. (English) Zbl 0931.65120 Computing 63, No. 1, 1-25 (1999). Reviewer: S.F.McCormick (Boulder) MSC: 65N55 65N30 65N50 65F10 PDF BibTeX XML Cite \textit{D. Braess} et al., Computing 63, No. 1, 1--25 (1999; Zbl 0931.65120) Full Text: DOI
Grandmont, Céline; Maday, Yvon Nonconforming grids for the simulation of fluid-structure interaction. (English) Zbl 0942.74073 Mandel, Jan (ed.) et al., Domain decomposition methods 10. The 10th international conference, Boulder, CO, USA, August 10-14, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 218, 262-270 (1998). Reviewer: Michael Sever (Jerusalem) MSC: 74S05 74F10 76D05 65M50 PDF BibTeX XML Cite \textit{C. Grandmont} and \textit{Y. Maday}, Contemp. Math. 218, 262--270 (1998; Zbl 0942.74073)