Huo, Fuchang; Wang, Ruishu; Wang, Yanqiu; Zhang, Ran A locking-free weak Galerkin finite element method for linear elasticity problems. (English) Zbl 07824652 Comput. Math. Appl. 160, 181-190 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{F. Huo} et al., Comput. Math. Appl. 160, 181--190 (2024; Zbl 07824652) Full Text: DOI arXiv
Devloo, Philippe R. B.; Fernandes, Jeferson W. D.; Gomes, Sônia M.; Shauer, Nathan Stress mixed polyhedral finite elements for two-scale elasticity models with relaxed symmetry. (English) Zbl 07824636 Comput. Math. Appl. 159, 302-318 (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{P. R. B. Devloo} et al., Comput. Math. Appl. 159, 302--318 (2024; Zbl 07824636) Full Text: DOI
Wang, Yang; Sun, Shuyu Multipoint stress mixed finite element methods for linear viscoelasticity with weak symmetry. (English) Zbl 07822388 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107913, 27 p. (2024). MSC: 74Sxx PDFBibTeX XMLCite \textit{Y. Wang} and \textit{S. Sun}, Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107913, 27 p. (2024; Zbl 07822388) Full Text: DOI
Zhao, Lina A parameter-free mixed formulation for the Stokes equations and linear elasticity with strongly symmetric stress. (English) Zbl 07801610 Comput. Math. Appl. 155, 35-50 (2024). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{L. Zhao}, Comput. Math. Appl. 155, 35--50 (2024; Zbl 07801610) Full Text: DOI
Lederer, Philip L.; Stenberg, Rolf Analysis of weakly symmetric mixed finite elements for elasticity. (English) Zbl 07782511 Math. Comput. 93, No. 346, 523-550 (2024). MSC: 65N30 74S05 74B05 74G15 65N12 65N15 35Q74 PDFBibTeX XMLCite \textit{P. L. Lederer} and \textit{R. Stenberg}, Math. Comput. 93, No. 346, 523--550 (2024; Zbl 07782511) Full Text: DOI arXiv
Zhong, Xiang; Qiu, Weifeng Spectral analysis of a mixed method for linear elasticity. (English) Zbl 07725051 SIAM J. Numer. Anal. 61, No. 4, 1885-1917 (2023). MSC: 65N30 65N25 65N12 65N15 74B05 35B65 PDFBibTeX XMLCite \textit{X. Zhong} and \textit{W. Qiu}, SIAM J. Numer. Anal. 61, No. 4, 1885--1917 (2023; Zbl 07725051) Full Text: DOI arXiv
Gopalakrishnan, J.; Kogler, L.; Lederer, P. L.; Schöberl, J. Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling. (English) Zbl 07698951 J. Sci. Comput. 95, No. 3, Paper No. 91, 25 p. (2023). MSC: 65Nxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{J. Gopalakrishnan} et al., J. Sci. Comput. 95, No. 3, Paper No. 91, 25 p. (2023; Zbl 07698951) Full Text: DOI arXiv
Zhao, Lina A priori and a posteriori error analysis of TDNNS method for linear elasticity problem under minimal regularity. (English) Zbl 07698941 J. Sci. Comput. 95, No. 3, Paper No. 81, 24 p. (2023). MSC: 65Nxx 74Sxx 74Bxx PDFBibTeX XMLCite \textit{L. Zhao}, J. Sci. Comput. 95, No. 3, Paper No. 81, 24 p. (2023; Zbl 07698941) Full Text: DOI
Meddahi, Salim; Ruiz-Baier, Ricardo A mixed discontinuous Galerkin method for a linear viscoelasticity problem with strongly imposed symmetry. (English) Zbl 1516.65093 SIAM J. Sci. Comput. 45, No. 1, B27-B56 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 74H15 74D05 76A10 35A01 35A02 35R09 45B05 PDFBibTeX XMLCite \textit{S. Meddahi} and \textit{R. Ruiz-Baier}, SIAM J. Sci. Comput. 45, No. 1, B27--B56 (2023; Zbl 1516.65093) Full Text: DOI arXiv
Meddahi, Salim A DG method for a stress formulation of the elasticity eigenproblem with strongly imposed symmetry. (English) Zbl 07667333 Comput. Math. Appl. 135, 19-30 (2023). MSC: 65N30 74S05 65N25 74B05 76M10 PDFBibTeX XMLCite \textit{S. Meddahi}, Comput. Math. Appl. 135, 19--30 (2023; Zbl 07667333) Full Text: DOI arXiv
Lee, Jeonghun J. Analysis of finite element methods for dynamic poroelasticity: low frequency waves. (English) Zbl 1496.65223 J. Comput. Appl. Math. 419, Article ID 114717, 12 p. (2023). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{J. J. Lee}, J. Comput. Appl. Math. 419, Article ID 114717, 12 p. (2023; Zbl 1496.65223) Full Text: DOI
Igelbüscher, Maximilian; Schröder, Jörg Hybrid mixed finite element formulations based on a least-squares approach. (English) Zbl 1505.74200 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 169-189 (2022). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{M. Igelbüscher} and \textit{J. Schröder}, Lect. Notes Appl. Comput. Mech. 98, 169--189 (2022; Zbl 1505.74200) Full Text: DOI
Igelbüscher, M.; Schröder, J.; Schwarz, A.; Starke, G. Least-squares finite element formulation for finite strain elasto-plasticity. (English) Zbl 1513.74151 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 149-167 (2022). MSC: 74S05 74C05 PDFBibTeX XMLCite \textit{M. Igelbüscher} et al., Lect. Notes Appl. Comput. Mech. 98, 149--167 (2022; Zbl 1513.74151) Full Text: DOI
Schröder, Jörg; Igelbüscher, Maximilian Challenges for the least-squares finite element method in solid mechanics. (English) Zbl 1502.74106 Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 485-495 (2022). MSC: 74S05 74K10 PDFBibTeX XMLCite \textit{J. Schröder} and \textit{M. Igelbüscher}, in: Current trends and open problems in computational mechanics. Cham: Springer. 485--495 (2022; Zbl 1502.74106) Full Text: DOI
Caucao, Sergio; Li, Tongtong; Yotov, Ivan A multipoint stress-flux mixed finite element method for the Stokes-Biot model. (English) Zbl 07594020 Numer. Math. 152, No. 2, 411-473 (2022). Reviewer: J. Manimaran (Thiruvananthapuram) MSC: 76M10 76S05 76D07 PDFBibTeX XMLCite \textit{S. Caucao} et al., Numer. Math. 152, No. 2, 411--473 (2022; Zbl 07594020) Full Text: DOI arXiv
Márquez, Antonio; Meddahi, Salim Mixed-hybrid and mixed-discontinuous Galerkin methods for linear dynamical elastic-viscoelastic composite structures. (English) Zbl 1490.65283 J. Numer. Math. 30, No. 1, 43-62 (2022). MSC: 65N30 65M12 65M15 74H15 PDFBibTeX XMLCite \textit{A. Márquez} and \textit{S. Meddahi}, J. Numer. Math. 30, No. 1, 43--62 (2022; Zbl 1490.65283) Full Text: DOI arXiv
Baccouch, Mahboub Convergence and superconvergence of the local discontinuous Galerkin method for semilinear second-order elliptic problems on Cartesian grids. (English) Zbl 1499.65624 Commun. Appl. Math. Comput. 4, No. 2, 437-476 (2022). MSC: 65N12 65N15 65N30 35J15 35J61 PDFBibTeX XMLCite \textit{M. Baccouch}, Commun. Appl. Math. Comput. 4, No. 2, 437--476 (2022; Zbl 1499.65624) Full Text: DOI
Meddahi, Salim Variational eigenvalue approximation of non-coercive operators with application to mixed formulations in elasticity. (English) Zbl 1484.65289 S\(\vec{\text{e}}\)MA J. 79, No. 1, 139-164 (2022). MSC: 65N25 65N30 65N12 65N15 74B05 74S05 PDFBibTeX XMLCite \textit{S. Meddahi}, S\(\vec{\text{e}}\)MA J. 79, No. 1, 139--164 (2022; Zbl 1484.65289) Full Text: DOI
Jayadharan, Manu; Khattatov, Eldar; Yotov, Ivan Domain decomposition and partitioning methods for mixed finite element discretizations of the Biot system of poroelasticity. (English) Zbl 1477.65159 Comput. Geosci. 25, No. 6, 1919-1938 (2021). MSC: 65M60 65M55 76S05 86A05 PDFBibTeX XMLCite \textit{M. Jayadharan} et al., Comput. Geosci. 25, No. 6, 1919--1938 (2021; Zbl 1477.65159) Full Text: DOI arXiv
Tóth, Balázs Natural frequency analysis of shells of revolution based on hybrid dual-mixed \(hp\)-finite element formulation. (English) Zbl 1481.74519 Appl. Math. Modelling 98, 722-746 (2021). MSC: 74K25 65N30 PDFBibTeX XMLCite \textit{B. Tóth}, Appl. Math. Modelling 98, 722--746 (2021; Zbl 1481.74519) Full Text: DOI
Devloo, Philippe R. B.; Farias, Agnaldo M.; Gomes, Sônia M.; Pereira, Weslley; Dos Santos, Antonio J. B.; Valentin, Frédéric New \(H(\mathrm{div})\)-conforming multiscale hybrid-mixed methods for the elasticity problem on polygonal meshes. (English) Zbl 1491.65132 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1005-1037 (2021). MSC: 65N30 65N12 65N15 74G15 74B10 74S05 35Q74 PDFBibTeX XMLCite \textit{P. R. B. Devloo} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1005--1037 (2021; Zbl 1491.65132) Full Text: DOI
Ma, Limin Superconvergence of discontinuous Galerkin methods for elliptic boundary value problems. (English) Zbl 1493.65220 J. Sci. Comput. 88, No. 3, Paper No. 62, 20 p. (2021). MSC: 65N30 65N12 35J05 74B10 74S05 PDFBibTeX XMLCite \textit{L. Ma}, J. Sci. Comput. 88, No. 3, Paper No. 62, 20 p. (2021; Zbl 1493.65220) Full Text: DOI arXiv
Gatica, Gabriel N.; Márquez, Antonio; Meddahi, Salim A mixed finite element method with reduced symmetry for the standard model in linear viscoelasticity. (English) Zbl 1468.65190 Calcolo 58, No. 1, Paper No. 11, 27 p. (2021). MSC: 65N30 65M60 65M06 65M12 65M15 74H15 74B10 PDFBibTeX XMLCite \textit{G. N. Gatica} et al., Calcolo 58, No. 1, Paper No. 11, 27 p. (2021; Zbl 1468.65190) Full Text: DOI arXiv
Igelbüscher, Maximilian; Schröder, Jörg; Schwarz, Alexander A mixed least-squares finite element formulation with explicit consideration of the balance of moment of momentum, a numerical study. (English) Zbl 07778846 GAMM-Mitt. 43, No. 2, Article ID 202000009, 17 p. (2020). MSC: 65Nxx 35Jxx 35Qxx PDFBibTeX XMLCite \textit{M. Igelbüscher} et al., GAMM-Mitt. 43, No. 2, Article ID 202000009, 17 p. (2020; Zbl 07778846) Full Text: DOI OA License
Tóth, Balázs; Burmeister, Dániel Dual-mixed \(hp\)-version axisymmetric shell finite element using NURBS mid-surface interpolation. (English) Zbl 1436.74041 Acta Mech. 231, No. 6, 2457-2483 (2020). MSC: 74K25 74S05 74B05 PDFBibTeX XMLCite \textit{B. Tóth} and \textit{D. Burmeister}, Acta Mech. 231, No. 6, 2457--2483 (2020; Zbl 1436.74041) Full Text: DOI
Devloo, Philippe R. B.; Gomes, Sônia M.; Quinelato, Thiago O.; Tian, Shudan Enriched two dimensional mixed finite element models for linear elasticity with weak stress symmetry. (English) Zbl 1437.65185 Comput. Math. Appl. 79, No. 9, 2678-2700 (2020). MSC: 65N30 74B10 35Q74 74S05 PDFBibTeX XMLCite \textit{P. R. B. Devloo} et al., Comput. Math. Appl. 79, No. 9, 2678--2700 (2020; Zbl 1437.65185) Full Text: DOI HAL
Wang, Fei; Wu, Shuonan; Xu, Jinchao A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry. (English) Zbl 1435.65211 J. Sci. Comput. 83, No. 1, Paper No. 2, 17 p. (2020). MSC: 65N30 74B10 35Q74 35B45 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Sci. Comput. 83, No. 1, Paper No. 2, 17 p. (2020; Zbl 1435.65211) Full Text: DOI arXiv
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry. (English) Zbl 1439.35368 SIAM J. Numer. Anal. 58, No. 1, 706-732 (2020). MSC: 35Q30 65N12 65N22 65N30 76D07 76M10 PDFBibTeX XMLCite \textit{J. Gopalakrishnan} et al., SIAM J. Numer. Anal. 58, No. 1, 706--732 (2020; Zbl 1439.35368) Full Text: DOI arXiv
Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan M.; Yotov, Ivan A multipoint stress mixed finite element method for elasticity on simplicial grids. (English) Zbl 1451.65181 SIAM J. Numer. Anal. 58, No. 1, 630-656 (2020). Reviewer: V. Leontiev (Ul’yanovsk) MSC: 65N30 65N06 65N12 65N15 74S05 74S20 74B10 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., SIAM J. Numer. Anal. 58, No. 1, 630--656 (2020; Zbl 1451.65181) Full Text: DOI arXiv
Cockburn, Bernardo; Shen, Jiguang An algorithm for stabilizing hybridizable discontinuous Galerkin methods for nonlinear elasticity. (English) Zbl 1451.74205 Results Appl. Math. 1, Article ID 100001, 19 p. (2019). MSC: 74S05 74B20 65N12 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{J. Shen}, Results Appl. Math. 1, Article ID 100001, 19 p. (2019; Zbl 1451.74205) Full Text: DOI
Quinelato, Thiago O.; Loula, Abimael F. D.; Correa, Maicon R.; Arbogast, Todd Full \(H(\operatorname{div})\)-approximation of linear elasticity on quadrilateral meshes based on \(\mathcal{ABF}\) finite elements. (English) Zbl 1440.74060 Comput. Methods Appl. Mech. Eng. 347, 120-142 (2019). MSC: 74B05 74S05 65N30 PDFBibTeX XMLCite \textit{T. O. Quinelato} et al., Comput. Methods Appl. Mech. Eng. 347, 120--142 (2019; Zbl 1440.74060) Full Text: DOI
Khattatov, Eldar; Yotov, Ivan Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry. (English) Zbl 1434.65263 ESAIM, Math. Model. Numer. Anal. 53, No. 6, 2081-2108 (2019). MSC: 65N30 65N55 65N12 65N15 74G15 74S05 74B10 PDFBibTeX XMLCite \textit{E. Khattatov} and \textit{I. Yotov}, ESAIM, Math. Model. Numer. Anal. 53, No. 6, 2081--2108 (2019; Zbl 1434.65263) Full Text: DOI arXiv
Sun, Yan-Ping; Chen, Shao-Chun; Yang, Yong-Qin The families of nonconforming mixed finite elements for linear elasticity on simplex grids. (English) Zbl 1428.74215 Appl. Math. Comput. 358, 348-362 (2019). MSC: 74S05 65N30 65N15 74B05 PDFBibTeX XMLCite \textit{Y.-P. Sun} et al., Appl. Math. Comput. 358, 348--362 (2019; Zbl 1428.74215) Full Text: DOI
Gong, Shihua; Wu, Shuonan; Xu, Jinchao New hybridized mixed methods for linear elasticity and optimal multilevel solvers. (English) Zbl 1412.65211 Numer. Math. 141, No. 2, 569-604 (2019). Reviewer: Jichun Li (Las Vegas) MSC: 65N30 65N55 74B10 PDFBibTeX XMLCite \textit{S. Gong} et al., Numer. Math. 141, No. 2, 569--604 (2019; Zbl 1412.65211) Full Text: DOI arXiv
Márquez, Antonio; Meddahi, Salim; Tran, Thanh Frequency-explicit asymptotic error estimates for a stress-pressure formulation of a time harmonic fluid-solid interaction problem. (English) Zbl 1442.65386 Comput. Math. Appl. 76, No. 9, 2090-2109 (2018). MSC: 65N30 74A10 74F10 76N99 PDFBibTeX XMLCite \textit{A. Márquez} et al., Comput. Math. Appl. 76, No. 9, 2090--2109 (2018; Zbl 1442.65386) Full Text: DOI
Li, Ming-hao; Shi, Dong-yang; Li, Zhen-zhen The stabilized mixed finite element scheme of elasticity problem. (English) Zbl 1404.65227 Comput. Appl. Math. 37, No. 3, 2588-2604 (2018). MSC: 65N12 65N30 74B10 PDFBibTeX XMLCite \textit{M.-h. Li} et al., Comput. Appl. Math. 37, No. 3, 2588--2604 (2018; Zbl 1404.65227) Full Text: DOI
Chen, Long; Hu, Jun; Huang, Xuehai; Man, Hongying Residual-based a posteriori error estimates for symmetric conforming mixed finite elements for linear elasticity problems. (English) Zbl 1395.65141 Sci. China, Math. 61, No. 6, 973-992 (2018). MSC: 65N30 74S05 65N50 65N15 74B10 PDFBibTeX XMLCite \textit{L. Chen} et al., Sci. China, Math. 61, No. 6, 973--992 (2018; Zbl 1395.65141) Full Text: DOI arXiv
Qiu, Weifeng; Shen, Jiguang; Shi, Ke An HDG method for linear elasticity with strong symmetric stresses. (English) Zbl 1410.65459 Math. Comput. 87, No. 309, 69-93 (2018). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65L12 74B10 65N12 PDFBibTeX XMLCite \textit{W. Qiu} et al., Math. Comput. 87, No. 309, 69--93 (2018; Zbl 1410.65459) Full Text: DOI arXiv
Schröder, Jörg; Igelbüscher, Maximilian; Schwarz, Alexander; Starke, Gerhard A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity. (English) Zbl 1439.74067 Comput. Methods Appl. Mech. Eng. 317, 400-418 (2017). MSC: 74C05 74S05 65N30 PDFBibTeX XMLCite \textit{J. Schröder} et al., Comput. Methods Appl. Mech. Eng. 317, 400--418 (2017; Zbl 1439.74067) Full Text: DOI
Hungria, Allan; Prada, Daniele; Sayas, Francisco-Javier HDG methods for elastodynamics. (English) Zbl 1395.74085 Comput. Math. Appl. 74, No. 11, 2671-2690 (2017). MSC: 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{A. Hungria} et al., Comput. Math. Appl. 74, No. 11, 2671--2690 (2017; Zbl 1395.74085) Full Text: DOI arXiv
García, Carlos; Gatica, Gabriel N.; Márquez, Antonio; Meddahi, Salim A fully discrete scheme for the pressure-stress formulation of the time-domain fluid-structure interaction problem. (English) Zbl 1404.65262 Calcolo 54, No. 4, 1419-1439 (2017). MSC: 65N30 65M12 65M15 74H15 65M06 74F10 35Q74 PDFBibTeX XMLCite \textit{C. García} et al., Calcolo 54, No. 4, 1419--1439 (2017; Zbl 1404.65262) Full Text: DOI
Bærland, Trygve; Lee, Jeonghun J.; Mardal, Kent-Andre; Winther, Ragnar Weakly imposed symmetry and robust preconditioners for Biot’s consolidation model. (English) Zbl 1421.74095 Comput. Methods Appl. Math. 17, No. 3, 377-396 (2017). MSC: 74S05 65N30 65N22 65N55 PDFBibTeX XMLCite \textit{T. Bærland} et al., Comput. Methods Appl. Math. 17, No. 3, 377--396 (2017; Zbl 1421.74095) Full Text: DOI arXiv
Wu, Shuonan; Gong, Shihua; Xu, Jinchao Interior penalty mixed finite element methods of any order in any dimension for linear elasticity with strongly symmetric stress tensor. (English) Zbl 1457.65222 Math. Models Methods Appl. Sci. 27, No. 14, 2711-2743 (2017). MSC: 65N30 65N15 74B10 35Q74 PDFBibTeX XMLCite \textit{S. Wu} et al., Math. Models Methods Appl. Sci. 27, No. 14, 2711--2743 (2017; Zbl 1457.65222) Full Text: DOI arXiv
García, Carlos; Gatica, Gabriel N.; Meddahi, Salim A new mixed finite element method for elastodynamics with weak symmetry. (English) Zbl 1457.65106 J. Sci. Comput. 72, No. 3, 1049-1079 (2017). MSC: 65M60 65M06 65N30 65M12 65M15 74B10 74H15 35Q74 PDFBibTeX XMLCite \textit{C. García} et al., J. Sci. Comput. 72, No. 3, 1049--1079 (2017; Zbl 1457.65106) Full Text: DOI
Ambartsumyan, I.; Khattatov, E.; Yotov, I. Mixed finite volume methods for linear elasticity. (English) Zbl 1365.74151 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 377-385 (2017). MSC: 74S05 74S10 65N08 65N30 65N15 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., Springer Proc. Math. Stat. 200, 377--385 (2017; Zbl 1365.74151) Full Text: DOI
Lee, Jeonghun J. Analysis of mixed finite element methods for the standard linear solid model in viscoelasticity. (English) Zbl 1365.65259 Calcolo 54, No. 2, 587-607 (2017). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{J. J. Lee}, Calcolo 54, No. 2, 587--607 (2017; Zbl 1365.65259) Full Text: DOI
Chen, Long; Hu, Jun; Huang, Xuehai Stabilized mixed finite element methods for linear elasticity on simplicial grids in \(\mathbb{R}^{n}\). (English) Zbl 1422.65378 Comput. Methods Appl. Math. 17, No. 1, 17-31 (2017). MSC: 65N30 65N12 65N15 74S05 74B05 PDFBibTeX XMLCite \textit{L. Chen} et al., Comput. Methods Appl. Math. 17, No. 1, 17--31 (2017; Zbl 1422.65378) Full Text: DOI arXiv
Hu, Jun; Man, Hongying; Wang, Jianye; Zhang, Shangyou The simplest nonconforming mixed finite element method for linear elasticity in the symmetric formulation on \(n\)-rectangular grids. (English) Zbl 1443.65338 Comput. Math. Appl. 71, No. 7, 1317-1336 (2016). MSC: 65N30 74B05 PDFBibTeX XMLCite \textit{J. Hu} et al., Comput. Math. Appl. 71, No. 7, 1317--1336 (2016; Zbl 1443.65338) Full Text: DOI
Lee, Jeonghun J. Robust error analysis of coupled mixed methods for Biot’s consolidation model. (English) Zbl 1368.65234 J. Sci. Comput. 69, No. 2, 610-632 (2016). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{J. J. Lee}, J. Sci. Comput. 69, No. 2, 610--632 (2016; Zbl 1368.65234) Full Text: DOI arXiv
Hu, Jun; Zhang, Shangyou Finite element approximations of symmetric tensors on simplicial grids in \(\mathbb{R}^n\): the lower order case. (English) Zbl 1348.65164 Math. Models Methods Appl. Sci. 26, No. 9, 1649-1669 (2016). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 65N15 65N50 35J25 PDFBibTeX XMLCite \textit{J. Hu} and \textit{S. Zhang}, Math. Models Methods Appl. Sci. 26, No. 9, 1649--1669 (2016; Zbl 1348.65164) Full Text: DOI arXiv
García, Carlos; Gatica, Gabriel N.; Meddahi, Salim A new mixed finite element analysis of the elastodynamic equations. (English) Zbl 1381.74191 Appl. Math. Lett. 59, 48-55 (2016). MSC: 74S05 65M60 65M12 74B05 PDFBibTeX XMLCite \textit{C. García} et al., Appl. Math. Lett. 59, 48--55 (2016; Zbl 1381.74191) Full Text: DOI
Lee, Jeonghun J. Towards a unified analysis of mixed methods for elasticity with weakly symmetric stress. (English) Zbl 1382.74120 Adv. Comput. Math. 42, No. 2, 361-376 (2016). MSC: 74S05 65N30 65N12 65N15 74B05 PDFBibTeX XMLCite \textit{J. J. Lee}, Adv. Comput. Math. 42, No. 2, 361--376 (2016; Zbl 1382.74120) Full Text: DOI arXiv
Chung, Eric; Cockburn, Bernardo; Fu, Guosheng The staggered DG method is the limit of a hybridizable DG method. II: The Stokes flow. (English) Zbl 1457.65188 J. Sci. Comput. 66, No. 2, 870-887 (2016). MSC: 65N30 65N12 35L65 76D07 35Q35 PDFBibTeX XMLCite \textit{E. Chung} et al., J. Sci. Comput. 66, No. 2, 870--887 (2016; Zbl 1457.65188) Full Text: DOI
Lee, Jeonghun J.; Kim, Hyea Hyun Analysis of a staggered discontinuous Galerkin method for linear elasticity. (English) Zbl 1457.65203 J. Sci. Comput. 66, No. 2, 625-649 (2016). MSC: 65N30 65N12 65N15 35B45 35A15 74B05 35Q74 PDFBibTeX XMLCite \textit{J. J. Lee} and \textit{H. H. Kim}, J. Sci. Comput. 66, No. 2, 625--649 (2016; Zbl 1457.65203) Full Text: DOI
Márquez, Antonio; Meddahi, Salim; Tran, Thanh Analyses of mixed continuous and discontinuous Galerkin methods for the time harmonic elasticity problem with reduced symmetry. (English) Zbl 1325.74151 SIAM J. Sci. Comput. 37, No. 4, A1909-A1933 (2015). MSC: 74S05 65N30 65N12 65N15 74B10 PDFBibTeX XMLCite \textit{A. Márquez} et al., SIAM J. Sci. Comput. 37, No. 4, A1909--A1933 (2015; Zbl 1325.74151) Full Text: DOI arXiv
Arnold, Douglas N.; Awanou, Gerard; Qiu, Weifeng Mixed finite elements for elasticity on quadrilateral meshes. (English) Zbl 1320.74096 Adv. Comput. Math. 41, No. 3, 553-572 (2015). MSC: 74S05 74B05 65N30 PDFBibTeX XMLCite \textit{D. N. Arnold} et al., Adv. Comput. Math. 41, No. 3, 553--572 (2015; Zbl 1320.74096) Full Text: DOI arXiv
Hu, Jun A new family of efficient conforming mixed finite elements on both rectangular and cuboid meshes for linear elasticity in the symmetric formulation. (English) Zbl 1328.65242 SIAM J. Numer. Anal. 53, No. 3, 1438-1463 (2015). MSC: 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{J. Hu}, SIAM J. Numer. Anal. 53, No. 3, 1438--1463 (2015; Zbl 1328.65242) Full Text: DOI arXiv
Li, Minghao; Shi, Dongyang; Dai, Ying The Brezzi-Pitkäranta stabilization scheme for the elasticity problem. (English) Zbl 1312.74039 J. Comput. Appl. Math. 286, 7-16 (2015). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{M. Li} et al., J. Comput. Appl. Math. 286, 7--16 (2015; Zbl 1312.74039) Full Text: DOI
Hu, Jun; Zhang, ShangYou A family of symmetric mixed finite elements for linear elasticity on tetrahedral grids. (English) Zbl 1308.74148 Sci. China, Math. 58, No. 2, 297-307 (2015). MSC: 74S05 65N30 74C05 PDFBibTeX XMLCite \textit{J. Hu} and \textit{S. Zhang}, Sci. China, Math. 58, No. 2, 297--307 (2015; Zbl 1308.74148) Full Text: DOI arXiv
Cockburn, Bernardo; Shi, Ke Devising \(\mathbf{HDG}\) methods for Stokes flow: an overview. (English) Zbl 1391.76315 Comput. Fluids 98, 221-229 (2014). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{B. Cockburn} and \textit{K. Shi}, Comput. Fluids 98, 221--229 (2014; Zbl 1391.76315) Full Text: DOI
Hu, Jun; Man, Hongying; Zhang, Shangyou A simple conforming mixed finite element for linear elasticity on rectangular grids in any space dimension. (English) Zbl 1296.65159 J. Sci. Comput. 58, No. 2, 367-379 (2014). MSC: 65N30 74S05 PDFBibTeX XMLCite \textit{J. Hu} et al., J. Sci. Comput. 58, No. 2, 367--379 (2014; Zbl 1296.65159) Full Text: DOI
Juntunen, Mika; Lee, Jeonghun A mesh-dependent norm analysis of low-order mixed finite element for elasticity with weakly symmetric stress. (English) Zbl 1408.74049 Math. Models Methods Appl. Sci. 24, No. 11, 2155-2169 (2014). MSC: 74S05 74B05 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{M. Juntunen} and \textit{J. Lee}, Math. Models Methods Appl. Sci. 24, No. 11, 2155--2169 (2014; Zbl 1408.74049) Full Text: DOI
Juntunen, Mika; Lee, Jeonghun Optimal second order rectangular elasticity elements with weakly symmetric stress. (English) Zbl 1342.74164 BIT 54, No. 2, 425-445 (2014). MSC: 74S05 74B05 65N30 65N12 PDFBibTeX XMLCite \textit{M. Juntunen} and \textit{J. Lee}, BIT 54, No. 2, 425--445 (2014; Zbl 1342.74164) Full Text: DOI
Arnold, Douglas N.; Awanou, Gerard; Winther, Ragnar Nonconforming tetrahedral mixed finite elements for elasticity. (English) Zbl 1433.74097 Math. Models Methods Appl. Sci. 24, No. 4, 783-796 (2014). MSC: 74S05 74B05 65N30 65N15 PDFBibTeX XMLCite \textit{D. N. Arnold} et al., Math. Models Methods Appl. Sci. 24, No. 4, 783--796 (2014; Zbl 1433.74097) Full Text: DOI arXiv
Guzmán, Johnny; Neilan, Michael Symmetric and conforming mixed finite elements for plane elasticity using rational bubble functions. (English) Zbl 1455.74083 Numer. Math. 126, No. 1, 153-171 (2014). MSC: 74S05 74B05 65N12 PDFBibTeX XMLCite \textit{J. Guzmán} and \textit{M. Neilan}, Numer. Math. 126, No. 1, 153--171 (2014; Zbl 1455.74083) Full Text: DOI
Cesmelioglu, Aycil; Cockburn, Bernardo; Nguyen, Ngoc Cuong; Peraire, Jaume Analysis of HDG methods for Oseen equations. (English) Zbl 1366.76048 J. Sci. Comput. 55, No. 2, 392-431 (2013). MSC: 76M10 65N30 76D05 PDFBibTeX XMLCite \textit{A. Cesmelioglu} et al., J. Sci. Comput. 55, No. 2, 392--431 (2013; Zbl 1366.76048) Full Text: DOI
Awanou, Gerard Rectangular mixed elements for elasticity with weakly imposed symmetry condition. (English) Zbl 1333.74079 Adv. Comput. Math. 38, No. 2, 351-367 (2013). MSC: 74S05 74B05 65N30 74G15 PDFBibTeX XMLCite \textit{G. Awanou}, Adv. Comput. Math. 38, No. 2, 351--367 (2013; Zbl 1333.74079) Full Text: DOI arXiv
Bramwell, Jamie; Demkowicz, Leszek; Gopalakrishnan, Jay; Qiu, Weifeng A locking-free \(hp\) DPG method for linear elasticity with symmetric stresses. (English) Zbl 1283.74094 Numer. Math. 122, No. 4, 671-707 (2012). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{J. Bramwell} et al., Numer. Math. 122, No. 4, 671--707 (2012; Zbl 1283.74094) Full Text: DOI arXiv
Awanou, Gerard Two remarks on rectangular mixed finite elements for elasticity. (English) Zbl 1314.74058 J. Sci. Comput. 50, No. 1, 91-102 (2012). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{G. Awanou}, J. Sci. Comput. 50, No. 1, 91--102 (2012; Zbl 1314.74058) Full Text: DOI arXiv
Behrens, Edwin M.; Guzmán, J. A new family of mixed methods for the Reissner-Mindlin plate model based on a system of first-order equations. (English) Zbl 1432.74200 J. Sci. Comput. 49, No. 2, 137-166 (2011). MSC: 74S05 65N30 65N12 74K20 PDFBibTeX XMLCite \textit{E. M. Behrens} and \textit{J. Guzmán}, J. Sci. Comput. 49, No. 2, 137--166 (2011; Zbl 1432.74200) Full Text: DOI
Carstensen, C.; Eigel, M.; Gedicke, J. Computational competition of symmetric mixed FEM in linear elasticity. (English) Zbl 1230.74172 Comput. Methods Appl. Mech. Eng. 200, No. 41-44, 2903-2915 (2011). MSC: 74S05 74B05 PDFBibTeX XMLCite \textit{C. Carstensen} et al., Comput. Methods Appl. Mech. Eng. 200, No. 41--44, 2903--2915 (2011; Zbl 1230.74172) Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. Hybridizable discontinuous Galerkin methods. (English) Zbl 1216.65160 Hesthaven, Jan S. (ed.) et al., Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Berlin: Springer (ISBN 978-3-642-15336-5/hbk; 978-3-642-15337-2/ebook). Lecture Notes in Computational Science and Engineering 76, 63-84 (2011). MSC: 65N30 35J25 65-02 76D05 76D07 76M10 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., Lect. Notes Comput. Sci. Eng. 76, 63--84 (2011; Zbl 1216.65160) Full Text: DOI
Cockburn, Bernardo; Gopalakrishnan, Jayadeep; Nguyen, Ngoc Cuong; Peraire, Jaume; Sayas, Francisco-Javier Analysis of HDG methods for Stokes flow. (English) Zbl 1410.76164 Math. Comput. 80, No. 274, 723-760 (2011). MSC: 76M10 65N30 76D07 35Q35 PDFBibTeX XMLCite \textit{B. Cockburn} et al., Math. Comput. 80, No. 274, 723--760 (2011; Zbl 1410.76164) Full Text: DOI
Nguyen, N. C.; Peraire, J.; Cockburn, B. An implicit high-order hybridizable discontinuous Galerkin method for the incompressible Navier-Stokes equations. (English) Zbl 1391.76353 J. Comput. Phys. 230, No. 4, 1147-1170 (2011). MSC: 76M10 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{N. C. Nguyen} et al., J. Comput. Phys. 230, No. 4, 1147--1170 (2011; Zbl 1391.76353) Full Text: DOI
Cockburn, B.; Nguyen, N. C.; Peraire, J. A comparison of HDG methods for Stokes flow. (English) Zbl 1203.76079 J. Sci. Comput. 45, No. 1-3, 215-237 (2010). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{B. Cockburn} et al., J. Sci. Comput. 45, No. 1--3, 215--237 (2010; Zbl 1203.76079) Full Text: DOI
Guzmán, J. A unified analysis of several mixed methods for elasticity with weak stress symmetry. (English) Zbl 1203.74017 J. Sci. Comput. 44, No. 2, 156-169 (2010). MSC: 74B05 65N30 74S05 PDFBibTeX XMLCite \textit{J. Guzmán}, J. Sci. Comput. 44, No. 2, 156--169 (2010; Zbl 1203.74017) Full Text: DOI