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
Févotte, François; Rappaport, Ari; Vohralík, Martin Adaptive regularization, discretization, and linearization for nonsmooth problems based on primal-dual gap estimators. (English) Zbl 07823441 Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116558, 33 p. (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{F. Févotte} et al., Comput. Methods Appl. Mech. Eng. 418, Part B, Article ID 116558, 33 p. (2024; Zbl 07823441) Full Text: DOI
Dassi, Franco; Mora, David; Reales, Carlos; Velásquez, Iván Mixed variational formulations of virtual elements for the polyharmonic operator \((-\Delta)^n\). (English) Zbl 07813460 Comput. Math. Appl. 158, 150-166 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{F. Dassi} et al., Comput. Math. Appl. 158, 150--166 (2024; Zbl 07813460) Full Text: DOI
Bause, Markus; Anselmann, Mathias; Köcher, Uwe; Radu, Florin A. Convergence of a continuous Galerkin method for hyperbolic-parabolic systems. (English) Zbl 07813458 Comput. Math. Appl. 158, 118-138 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{M. Bause} et al., Comput. Math. Appl. 158, 118--138 (2024; Zbl 07813458) Full Text: DOI arXiv
Wang, Lu; Feng, Minfu On the enriched mixed Galerkin method with \(\theta\) scheme for the elastic wave equation. (English) Zbl 07813439 Comput. Math. Appl. 157, 124-146 (2024). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{L. Wang} and \textit{M. Feng}, Comput. Math. Appl. 157, 124--146 (2024; Zbl 07813439) Full Text: DOI
Mitra, K.; Vohralík, M. A posteriori error estimates for the Richards equation. (English) Zbl 07810327 Math. Comput. 93, No. 347, 1053-1096 (2024). MSC: 65M60 65M06 65N30 65N50 65M15 76S05 74F10 35Q35 PDFBibTeX XMLCite \textit{K. Mitra} and \textit{M. Vohralík}, Math. Comput. 93, No. 347, 1053--1096 (2024; Zbl 07810327) Full Text: DOI arXiv
Kumar, Sarvesh; Mora, David; Ruiz-Baier, Ricardo; Verma, Nitesh Numerical solution of the Biot/elasticity interface problem using virtual element methods. (English) Zbl 07802472 J. Sci. Comput. 98, No. 3, Paper No. 53, 32 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 65N15 74F10 74L10 74L15 76S05 35A01 35A02 35D30 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{S. Kumar} et al., J. Sci. Comput. 98, No. 3, Paper No. 53, 32 p. (2024; Zbl 07802472) Full Text: DOI arXiv
Visinoni, Michele A family of three-dimensional virtual elements for Hellinger-Reissner elasticity problems. (English) Zbl 07801615 Comput. Math. Appl. 155, 97-109 (2024). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{M. Visinoni}, Comput. Math. Appl. 155, 97--109 (2024; Zbl 07801615) Full Text: DOI arXiv
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
Xu, Bing-Bing; Peng, Fan; Wriggers, Peter Stabilization-free virtual element method for finite strain applications. (English) Zbl 07805013 Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116555, 19 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{B.-B. Xu} et al., Comput. Methods Appl. Mech. Eng. 417, Part A, Article ID 116555, 19 p. (2023; Zbl 07805013) Full Text: DOI
Liu, Xin; Chen, Zhangxin A virtual element method for overcoming locking phenomena in Biot’s consolidation model. (English) Zbl 07787603 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3007-3027 (2023). MSC: 65M60 65M06 65N30 65N12 65N15 74F10 74L10 74B10 76S05 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Z. Chen}, ESAIM, Math. Model. Numer. Anal. 57, No. 5, 3007--3027 (2023; Zbl 07787603) Full Text: DOI
Steins, Morgane; Ern, Alexandre; Jamond, Olivier; Drui, Florence Time-explicit hybrid high-order method for the nonlinear acoustic wave equation. (English) Zbl 07787602 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2977-3006 (2023). Reviewer: Petr Sváček (Praha) MSC: 65M60 65M06 65N30 65M22 35L05 76Q05 74J30 65F10 65F08 65F05 PDFBibTeX XMLCite \textit{M. Steins} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2977--3006 (2023; Zbl 07787602) Full Text: DOI
Marazzato, Frédéric; Bourdin, Blaise A DG/CR discretization for the variational phase-field approach to fracture. (English) Zbl 07773243 Comput. Mech. 72, No. 4, 693-705 (2023). MSC: 74S05 74R10 PDFBibTeX XMLCite \textit{F. Marazzato} and \textit{B. Bourdin}, Comput. Mech. 72, No. 4, 693--705 (2023; Zbl 07773243) Full Text: DOI arXiv
Armandine Les Landes, Antoine; Castanon Quiroz, Daniel; Jeannin, Laurent; Lopez, Simon; Masson, Roland Two-phase geothermal model with fracture network and multi-branch wells. (English) Zbl 1528.65058 SMAI J. Comput. Math. 9, 121-149 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65Y05 65H10 65F10 76S05 76T10 74L10 74F05 PDFBibTeX XMLCite \textit{A. Armandine Les Landes} et al., SMAI J. Comput. Math. 9, 121--149 (2023; Zbl 1528.65058) Full Text: DOI arXiv
Aznaran, Francis R. A.; Farrell, Patrick E.; Kirby, Robert C. Transformations for Piola-mapped elements. (English) Zbl 1528.65099 SMAI J. Comput. Math. 8, 399-437 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65F08 65F10 76D07 74B10 35A15 68W30 78M10 PDFBibTeX XMLCite \textit{F. R. A. Aznaran} et al., SMAI J. Comput. Math. 8, 399--437 (2023; Zbl 1528.65099) Full Text: DOI arXiv
Heinz, Johannes; Munch, Peter; Kaltenbacher, Manfred High-order non-conforming discontinuous Galerkin methods for the acoustic conservation equations. (English) Zbl 07769148 Int. J. Numer. Methods Eng. 124, No. 9, 2034-2049 (2023). MSC: 65Mxx 74Sxx 35Lxx PDFBibTeX XMLCite \textit{J. Heinz} et al., Int. J. Numer. Methods Eng. 124, No. 9, 2034--2049 (2023; Zbl 07769148) Full Text: DOI arXiv OA License
Cesmelioglu, Aycil; Lee, Jeonghun J.; Rhebergen, Sander Analysis of an embedded-hybridizable discontinuous Galerkin method for Biot’s consolidation model. (English) Zbl 07761548 J. Sci. Comput. 97, No. 3, Paper No. 60, 26 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 74F10 74L10 76M10 76M20 74S05 74S20 35Q35 35Q74 PDFBibTeX XMLCite \textit{A. Cesmelioglu} et al., J. Sci. Comput. 97, No. 3, Paper No. 60, 26 p. (2023; Zbl 07761548) Full Text: DOI arXiv
Liang, Hao; Rui, Hongxing The nonconforming locking-free virtual element method for the Biot’s consolidation model in poroelasticity. (English) Zbl 07750296 Comput. Math. Appl. 148, 269-281 (2023). MSC: 65N30 76M10 76S05 74F10 74S05 PDFBibTeX XMLCite \textit{H. Liang} and \textit{H. Rui}, Comput. Math. Appl. 148, 269--281 (2023; Zbl 07750296) Full Text: DOI
Park, Hyeokjoo; Kwak, Do Y. An immersed weak Galerkin method for elliptic interface problems on polygonal meshes. (English) Zbl 07741358 Comput. Math. Appl. 147, 185-201 (2023). MSC: 65N30 65N15 35J25 65N12 74S05 PDFBibTeX XMLCite \textit{H. Park} and \textit{D. Y. Kwak}, Comput. Math. Appl. 147, 185--201 (2023; Zbl 07741358) Full Text: DOI arXiv
Araya, Rodolfo; Chouly, Franz Residual a posteriori error estimation for frictional contact with Nitsche method. (English) Zbl 07730750 J. Sci. Comput. 96, No. 3, Paper No. 87, 31 p. (2023). MSC: 65N12 65N15 65N30 74M10 74M15 74M20 PDFBibTeX XMLCite \textit{R. Araya} and \textit{F. Chouly}, J. Sci. Comput. 96, No. 3, Paper No. 87, 31 p. (2023; Zbl 07730750) Full Text: DOI
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
Porwal, Kamana; Wadhawan, Tanvi Unified analysis of discontinuous Galerkin methods for frictional contact problem with normal compliance. (English) Zbl 07715687 J. Comput. Appl. Math. 434, Article ID 115350, 25 p. (2023). MSC: 65Nxx 74Sxx 74Mxx PDFBibTeX XMLCite \textit{K. Porwal} and \textit{T. Wadhawan}, J. Comput. Appl. Math. 434, Article ID 115350, 25 p. (2023; Zbl 07715687) Full Text: DOI arXiv
Hoppe, R. H. W. An adaptive \(\mathrm{C}^0\) Interior penalty discontinuous Galerkin method and an equilibrated a posteriori error estimator for the von Kármán equations. (English) Zbl 07710405 Appl. Numer. Math. 190, 27-49 (2023). MSC: 65Nxx 35Jxx 74Kxx PDFBibTeX XMLCite \textit{R. H. W. Hoppe}, Appl. Numer. Math. 190, 27--49 (2023; Zbl 07710405) Full Text: DOI
Sorgente, Tommaso; Vicini, Fabio; Berrone, Stefano; Biasotti, Silvia; Manzini, Gianmarco; Spagnuolo, Michela Mesh quality agglomeration algorithm for the virtual element method applied to discrete fracture networks. (English) Zbl 07709622 Calcolo 60, No. 2, Paper No. 27, 27 p. (2023). MSC: 65N30 65N12 65N15 41A25 74R10 74S05 PDFBibTeX XMLCite \textit{T. Sorgente} et al., Calcolo 60, No. 2, Paper No. 27, 27 p. (2023; Zbl 07709622) Full Text: DOI arXiv
Li, Yanjun; Bi, Hai A locking-free discontinuous Galerkin method for linear elastic Steklov eigenvalue problem. (English) Zbl 07705778 Appl. Numer. Math. 188, 21-41 (2023). MSC: 65Nxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{Y. Li} and \textit{H. Bi}, Appl. Numer. Math. 188, 21--41 (2023; Zbl 07705778) Full Text: DOI arXiv
Zou, Guang-an; Li, Zhaohua; Yang, Xiaofeng Fully discrete discontinuous Galerkin numerical scheme with second-order temporal accuracy for the hydrodynamically coupled lipid vesicle model. (English) Zbl 1517.35188 J. Sci. Comput. 95, No. 1, Paper No. 5, 47 p. (2023). MSC: 35Q35 76D05 65M60 65M06 65N30 65M12 65M15 74K15 74L15 92C10 PDFBibTeX XMLCite \textit{G.-a. Zou} et al., J. Sci. Comput. 95, No. 1, Paper No. 5, 47 p. (2023; Zbl 1517.35188) Full Text: DOI
Beaude, L.; Chouly, F.; Laaziri, M.; Masson, R. Mixed and Nitsche’s discretizations of Coulomb frictional contact-mechanics for mixed dimensional poromechanical models. (English) Zbl 07697917 Comput. Methods Appl. Mech. Eng. 413, Article ID 116124, 31 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{L. Beaude} et al., Comput. Methods Appl. Mech. Eng. 413, Article ID 116124, 31 p. (2023; Zbl 07697917) Full Text: DOI
Führer, Thomas; Heuer, Norbert; Niemi, Antti H. A discontinuous Petrov-Galerkin method for Reissner-Mindlin plates. (English) Zbl 1519.74067 SIAM J. Numer. Anal. 61, No. 2, 995-1017 (2023). Reviewer: V. Leontiev (Sankt-Peterburg) MSC: 74S05 74K20 74G65 65N30 65N12 PDFBibTeX XMLCite \textit{T. Führer} et al., SIAM J. Numer. Anal. 61, No. 2, 995--1017 (2023; Zbl 1519.74067) Full Text: DOI arXiv
Antonietti, Paola F.; Bonetti, Stefano; Botti, Michele Discontinuous Galerkin approximation of the fully coupled thermo-poroelastic problem. (English) Zbl 07682248 SIAM J. Sci. Comput. 45, No. 2, A621-A645 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 74F05 74F10 74L10 74B10 76S05 74S05 74S20 76M10 35Q35 35Q74 35Q85 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Sci. Comput. 45, No. 2, A621--A645 (2023; Zbl 07682248) Full Text: DOI arXiv
Chen, Gang; Xie, Xiaoping; Xu, Youcai; Zhang, Yangwen A locking-free stabilized embedded discontinuous Galerkin method for linear elasticity with strong symmetric stress and continuous displacement trace approximation. (English) Zbl 07674294 Comput. Math. Appl. 134, 66-86 (2023). MSC: 65N30 74B05 74S05 PDFBibTeX XMLCite \textit{G. Chen} et al., Comput. Math. Appl. 134, 66--86 (2023; Zbl 07674294) Full Text: DOI
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
Duan, Huoyuan; Li, Ziliang A mixed virtual element method for nearly incompressible linear elasticity equations. (English) Zbl 1511.65122 Adv. Comput. Math. 49, No. 1, Paper No. 11, 43 p. (2023). MSC: 65N30 65N15 74B10 35Q74 74S05 PDFBibTeX XMLCite \textit{H. Duan} and \textit{Z. Li}, Adv. Comput. Math. 49, No. 1, Paper No. 11, 43 p. (2023; Zbl 1511.65122) Full Text: DOI
You, Hojun; Kim, Juhyun; Kim, Chongam Deneb: an open-source high-performance multi-physical flow solver based on high-order DRM-DG method. (English) Zbl 07666755 Comput. Phys. Commun. 286, Article ID 108672, 21 p. (2023). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{H. You} et al., Comput. Phys. Commun. 286, Article ID 108672, 21 p. (2023; Zbl 07666755) Full Text: DOI
Hoppe, R. H. W. A space-time adaptive discontinuous Galerkin method for the numerical solution of the dynamic quasi-static von Kármán equations. (English) Zbl 1524.65546 Comput. Math. Appl. 132, 32-47 (2023). MSC: 65M60 65N30 65N15 35J25 35J05 65M06 65H10 74K25 35Q74 PDFBibTeX XMLCite \textit{R. H. W. Hoppe}, Comput. Math. Appl. 132, 32--47 (2023; Zbl 1524.65546) Full Text: DOI
Lederer, Philip L.; Stenberg, Rolf Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity. (English) Zbl 1506.65219 Math. Comput. 92, No. 340, 583-605 (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 74S05 65N12 65N15 74B10 74G15 PDFBibTeX XMLCite \textit{P. L. Lederer} and \textit{R. Stenberg}, Math. Comput. 92, No. 340, 583--605 (2023; Zbl 1506.65219) Full Text: DOI arXiv
Di Pietro, Daniele A.; Droniou, Jérôme A fully discrete plates complex on polygonal meshes with application to the Kirchhoff-Love problem. (English) Zbl 1503.74107 Math. Comput. 92, No. 339, 51-77 (2023). MSC: 74S05 74K20 65N15 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Math. Comput. 92, No. 339, 51--77 (2023; Zbl 1503.74107) Full Text: DOI arXiv
Zhao, Jijing; Rui, Hongxing Weak Galerkin coupled with conforming finite element method for hybrid-dimensional fracture model. (English) Zbl 1502.65222 J. Comput. Appl. Math. 418, Article ID 114732, 17 p. (2023). MSC: 65N30 65N15 76S05 74F10 74H45 35J15 76M10 74M10 35Q35 35Q74 PDFBibTeX XMLCite \textit{J. Zhao} and \textit{H. Rui}, J. Comput. Appl. Math. 418, Article ID 114732, 17 p. (2023; Zbl 1502.65222) Full Text: DOI
Sukumar, N.; Tupek, Michael R. Virtual elements on agglomerated finite elements to increase the critical time step in elastodynamic simulations. (English) Zbl 07769306 Int. J. Numer. Methods Eng. 123, No. 19, 4702-4725 (2022). MSC: 65M60 65N50 74B05 74J05 74S05 35Q74 PDFBibTeX XMLCite \textit{N. Sukumar} and \textit{M. R. Tupek}, Int. J. Numer. Methods Eng. 123, No. 19, 4702--4725 (2022; Zbl 07769306) Full Text: DOI arXiv
Antonietti, Paola F.; Manzini, Gianmarco; Mazzieri, Ilario; Scacchi, Simone; Verani, Marco The conforming virtual element method for polyharmonic and elastodynamics problems: a review. (English) Zbl 1503.65215 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 411-451 (2022). MSC: 65M60 65M06 65N30 74B10 74R10 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 31, 411--451 (2022; Zbl 1503.65215) Full Text: DOI arXiv
Mascotto, Lorenzo; Perugia, Ilaria; Pichler, Alexander The nonconforming Trefftz virtual element method: general setting, applications, and dispersion analysis for the Helmholtz equation. (English) Zbl 1503.65299 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 363-410 (2022). MSC: 65N30 35J05 74J10 74S05 35Q74 PDFBibTeX XMLCite \textit{L. Mascotto} et al., SEMA SIMAI Springer Ser. 31, 363--410 (2022; Zbl 1503.65299) Full Text: DOI arXiv
Yang, Yidu; Wang, Shixi; Bi, Hai The finite element method for the elastic transmission eigenvalue problem with different elastic tensors. (English) Zbl 1503.65284 J. Sci. Comput. 93, No. 3, Paper No. 65, 20 p. (2022). MSC: 65N25 65N30 65N15 74J20 74J25 35Q74 PDFBibTeX XMLCite \textit{Y. Yang} et al., J. Sci. Comput. 93, No. 3, Paper No. 65, 20 p. (2022; Zbl 1503.65284) Full Text: DOI
Bringmann, Philipp; Carstensen, Carsten; Tran, Ngoc Tien Adaptive least-squares, discontinuous Petrov-Galerkin, and hybrid high-order methods. (English) Zbl 1513.74150 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 107-147 (2022). MSC: 74S05 74B05 74P10 PDFBibTeX XMLCite \textit{P. Bringmann} et al., Lect. Notes Appl. Comput. Mech. 98, 107--147 (2022; Zbl 1513.74150) Full Text: DOI
Bayat, H. R.; Krämer, J.; Reese, S.; Wieners, C.; Wohlmuth, B.; Wunderlich, L. Hybrid discretizations in solid mechanics for non-linear and non-smooth problems. (English) Zbl 1513.74149 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 1-35 (2022). MSC: 74S05 74M15 74C15 74B20 PDFBibTeX XMLCite \textit{H. R. Bayat} et al., Lect. Notes Appl. Comput. Mech. 98, 1--35 (2022; Zbl 1513.74149) Full Text: DOI
Verma, Nitesh; Kumar, Sarvesh Virtual element approximations for two species model of the advection-diffusion-reaction in poroelastic media. (English) Zbl 1498.65164 Math. Model. Anal. 27, No. 4, 668-690 (2022). MSC: 65M60 74F10 76M10 76S05 65M12 65M15 PDFBibTeX XMLCite \textit{N. Verma} and \textit{S. Kumar}, Math. Model. Anal. 27, No. 4, 668--690 (2022; Zbl 1498.65164) Full Text: DOI
Wang, Feng; Cai, Mingchao; Wang, Gang; Zeng, Yuping A mixed virtual element method for Biot’s consolidation model. (English) Zbl 1524.65604 Comput. Math. Appl. 126, 31-42 (2022). MSC: 65M60 65M06 65N30 76M10 74F10 76S05 74S05 74B10 65M12 PDFBibTeX XMLCite \textit{F. Wang} et al., Comput. Math. Appl. 126, 31--42 (2022; Zbl 1524.65604) Full Text: DOI
Di Pietro, Daniele A.; Droniou, Jérôme A discrete de Rham method for the Reissner-Mindlin plate bending problem on polygonal meshes. (English) Zbl 1524.74415 Comput. Math. Appl. 125, 136-149 (2022). MSC: 74S05 65N30 74K20 65N15 65N12 PDFBibTeX XMLCite \textit{D. A. Di Pietro} and \textit{J. Droniou}, Comput. Math. Appl. 125, 136--149 (2022; Zbl 1524.74415) Full Text: DOI arXiv
Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario On mathematical and numerical modelling of multiphysics wave propagation with polytopal discontinuous Galerkin methods: a review. (English) Zbl 07600699 Vietnam J. Math. 50, No. 4, 997-1028 (2022). Reviewer: Daniel Arndt (Oak Ridge) MSC: 65M60 41A58 65L12 65N30 65M12 35L05 74F10 74B10 74L10 74D05 86A15 35Q74 35Q86 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Vietnam J. Math. 50, No. 4, 997--1028 (2022; Zbl 07600699) Full Text: DOI arXiv
Koliesnikova, Daria; Ramière, Isabelle; Lebon, Frédéric Fully automatic multigrid adaptive mesh refinement strategy with controlled accuracy for nonlinear quasi-static problems. (English) Zbl 1507.74569 Comput. Methods Appl. Mech. Eng. 400, Article ID 115505, 30 p. (2022). MSC: 74S99 65N55 PDFBibTeX XMLCite \textit{D. Koliesnikova} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115505, 30 p. (2022; Zbl 1507.74569) Full Text: DOI
Chowdhury, Sudipto; Dond, Asha K.; Nataraj, Neela; Shylaja, Devika A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1501.65108 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1655-1686 (2022). MSC: 65N30 65N15 49M05 49M25 49M41 74K20 31A30 35Q74 PDFBibTeX XMLCite \textit{S. Chowdhury} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1655--1686 (2022; Zbl 1501.65108) Full Text: DOI arXiv
Dong, Zhaonan; Ern, Alexandre Hybrid high-order and weak Galerkin methods for the biharmonic problem. (English) Zbl 1501.65111 SIAM J. Numer. Anal. 60, No. 5, 2626-2656 (2022). MSC: 65N30 65N15 31A30 74K20 PDFBibTeX XMLCite \textit{Z. Dong} and \textit{A. Ern}, SIAM J. Numer. Anal. 60, No. 5, 2626--2656 (2022; Zbl 1501.65111) Full Text: DOI arXiv
Ge, Zhihao; Pei, Shuaichao; Yuan, Yinyin A two-level multiphysics finite element method for a nonlinear poroelasticity model. (English) Zbl 1524.65535 Comput. Math. Appl. 124, 63-73 (2022). MSC: 65M60 65N30 76S05 74S05 76M10 74B20 74F10 76D07 65M06 65H10 65N50 65M12 65M15 PDFBibTeX XMLCite \textit{Z. Ge} et al., Comput. Math. Appl. 124, 63--73 (2022; Zbl 1524.65535) Full Text: DOI
Anaya, Verónica; Khan, Arbaz; Mora, David; Ruiz-Baier, Ricardo Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling. (English) Zbl 1492.65298 SIAM J. Sci. Comput. 44, No. 4, B964-B995 (2022). MSC: 65N30 65N15 65N50 74F99 74A50 76S05 PDFBibTeX XMLCite \textit{V. Anaya} et al., SIAM J. Sci. Comput. 44, No. 4, B964--B995 (2022; Zbl 1492.65298) Full Text: DOI arXiv
Guo, Jun; Feng, Minfu A robust and mass conservative virtual element method for linear three-field poroelasticity. (English) Zbl 1502.65122 J. Sci. Comput. 92, No. 3, Paper No. 95, 32 p. (2022). MSC: 65M60 65M06 65N30 65M15 74F10 74L10 74Q10 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{J. Guo} and \textit{M. Feng}, J. Sci. Comput. 92, No. 3, Paper No. 95, 32 p. (2022; Zbl 1502.65122) Full Text: DOI
Bause, Markus; Lymbery, Maria; Osthues, Kevin \(C^1\)-conforming variational discretization of the biharmonic wave equation. (English) Zbl 1524.65753 Comput. Math. Appl. 119, 208-219 (2022). MSC: 65N30 65M60 65M12 65M15 65N12 34A30 74K20 35L05 65F05 35L10 PDFBibTeX XMLCite \textit{M. Bause} et al., Comput. Math. Appl. 119, 208--219 (2022; Zbl 1524.65753) Full Text: DOI arXiv
Mallik, Gouranga Goal-oriented a posteriori error estimation for the biharmonic problem based on an equilibrated moment tensor. (English) Zbl 1524.65845 Comput. Math. Appl. 117, 312-325 (2022). MSC: 65N30 65N15 65N50 35J25 74S05 31A30 74K20 35Q74 PDFBibTeX XMLCite \textit{G. Mallik}, Comput. Math. Appl. 117, 312--325 (2022; Zbl 1524.65845) Full Text: DOI arXiv
Antonietti, Paola F.; Facciolà, Chiara; Verani, Marco Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures. (English) Zbl 1524.65745 Comput. Math. Appl. 116, 116-139 (2022). MSC: 65N30 76S05 65N12 76M10 65N15 35R02 74F10 35R01 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., Comput. Math. Appl. 116, 116--139 (2022; Zbl 1524.65745) Full Text: DOI arXiv Link
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
Botti, Lorenzo; Verzeroli, Luca BR2 discontinuous Galerkin methods for finite hyperelastic deformations. (English) Zbl 07536792 J. Comput. Phys. 463, Article ID 111303, 22 p. (2022). MSC: 74Sxx 65Nxx 74Bxx PDFBibTeX XMLCite \textit{L. Botti} and \textit{L. Verzeroli}, J. Comput. Phys. 463, Article ID 111303, 22 p. (2022; Zbl 07536792) Full Text: DOI arXiv
Franceschini, Andrea; Gazzola, Laura; Ferronato, Massimiliano A scalable preconditioning framework for stabilized contact mechanics with hydraulically active fractures. (English) Zbl 07536775 J. Comput. Phys. 463, Article ID 111276, 22 p. (2022). MSC: 65Fxx 65Nxx 74Sxx PDFBibTeX XMLCite \textit{A. Franceschini} et al., J. Comput. Phys. 463, Article ID 111276, 22 p. (2022; Zbl 07536775) Full Text: DOI arXiv
Burman, Erik; Fernández, Miguel A.; Frei, Stefan; Gerosa, Fannie M. A mechanically consistent model for fluid-structure interactions with contact including seepage. (English) Zbl 1507.74116 Comput. Methods Appl. Mech. Eng. 392, Article ID 114637, 28 p. (2022). MSC: 74F10 74M15 76S05 PDFBibTeX XMLCite \textit{E. Burman} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114637, 28 p. (2022; Zbl 1507.74116) Full Text: DOI arXiv
Bonito, Andrea; Guignard, Diane; Nochetto, Ricardo H.; Yang, Shuo LDG approximation of large deformations of prestrained plates. (English) Zbl 07516803 J. Comput. Phys. 448, Article ID 110719, 27 p. (2022). MSC: 74Kxx 65Nxx 74Bxx PDFBibTeX XMLCite \textit{A. Bonito} et al., J. Comput. Phys. 448, Article ID 110719, 27 p. (2022; Zbl 07516803) Full Text: DOI arXiv
Grekas, Georgios; Koumatos, Konstantinos; Makridakis, Charalambos; Rosakis, Phoebus Approximations of energy minimization in cell-induced phase transitions of fibrous biomaterials: \(\Gamma\)-convergence analysis. (English) Zbl 1489.65159 SIAM J. Numer. Anal. 60, No. 2, 715-750 (2022). MSC: 65N30 65N12 49J45 74G65 74L15 74B20 92C10 46E30 PDFBibTeX XMLCite \textit{G. Grekas} et al., SIAM J. Numer. Anal. 60, No. 2, 715--750 (2022; Zbl 1489.65159) Full Text: DOI arXiv
Di Pietro, Daniele A.; Fontana, Ilaria; Kazymyrenko, Kyrylo A posteriori error estimates via equilibrated stress reconstructions for contact problems approximated by Nitsche’s method. (English) Zbl 1524.65790 Comput. Math. Appl. 111, 61-80 (2022). MSC: 65N30 74S05 74M15 65N15 74B05 74M10 PDFBibTeX XMLCite \textit{D. A. Di Pietro} et al., Comput. Math. Appl. 111, 61--80 (2022; Zbl 1524.65790) Full Text: DOI arXiv HAL
Marazzato, Frédéric; Ern, Alexandre; Monasse, Laurent Quasi-static crack propagation with a Griffith criterion using a variational discrete element method. (English) Zbl 07492683 Comput. Mech. 69, No. 2, 527-539 (2022). MSC: 74-XX PDFBibTeX XMLCite \textit{F. Marazzato} et al., Comput. Mech. 69, No. 2, 527--539 (2022; Zbl 07492683) Full Text: DOI arXiv
Zhao, Lina; Kim, Dohyun; Park, Eun-Jae; Chung, Eric Staggered DG method with small edges for Darcy flows in fractured porous media. (English) Zbl 1493.65243 J. Sci. Comput. 90, No. 3, Paper No. 83, 24 p. (2022). MSC: 65N30 65N12 65N15 65N50 76S05 74L10 PDFBibTeX XMLCite \textit{L. Zhao} et al., J. Sci. Comput. 90, No. 3, Paper No. 83, 24 p. (2022; Zbl 1493.65243) Full Text: DOI arXiv
Yi, Son-Young; Lee, Sanghyun; Zikatanov, Ludmil Locking-free enriched Galerkin method for linear elasticity. (English) Zbl 1483.65195 SIAM J. Numer. Anal. 60, No. 1, 52-75 (2022). MSC: 65N30 65N55 65F08 65F10 35B45 74B10 74S05 35Q74 PDFBibTeX XMLCite \textit{S.-Y. Yi} et al., SIAM J. Numer. Anal. 60, No. 1, 52--75 (2022; Zbl 1483.65195) Full Text: DOI
Antonietti, Paola F.; Botti, Michele; Mazzieri, Ilario; Poltri, Simone Nati A high-order discontinuous Galerkin method for the poro-elasto-acoustic problem on polygonal and polyhedral grids. (English) Zbl 1486.65160 SIAM J. Sci. Comput. 44, No. 1, B1-B28 (2022). Reviewer: Yan Xu (Hefei) MSC: 65M60 65M06 65N30 65M12 65M15 76Q05 74J30 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SIAM J. Sci. Comput. 44, No. 1, B1--B28 (2022; Zbl 1486.65160) Full Text: DOI arXiv
Liu, Xiaodong; Morgan, Nathaniel R.; Lieberman, Evan J.; Burton, Donald E. A fourth-order Lagrangian discontinuous Galerkin method using a hierarchical orthogonal basis on curvilinear grids. (English) Zbl 1484.76043 J. Comput. Appl. Math. 404, Article ID 113890, 26 p. (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76S05 76L05 74J40 65M60 PDFBibTeX XMLCite \textit{X. Liu} et al., J. Comput. Appl. Math. 404, Article ID 113890, 26 p. (2022; Zbl 1484.76043) Full Text: DOI
Antonietti, Paola F.; Mascotto, Lorenzo; Verani, Marco; Zonca, Stefano Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems. (English) Zbl 1478.65079 J. Sci. Comput. 90, No. 1, Paper No. 23, 31 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 74F10 65D07 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., J. Sci. Comput. 90, No. 1, Paper No. 23, 31 p. (2022; Zbl 1478.65079) Full Text: DOI arXiv
Koliesnikova, Daria; Ramière, Isabelle; Lebon, Frédéric A unified framework for the computational comparison of adaptive mesh refinement strategies for all-quadrilateral and all-hexahedral meshes: locally adaptive multigrid methods versus h-adaptive methods. (English) Zbl 07505904 J. Comput. Phys. 437, Article ID 110310, 32 p. (2021). MSC: 65Nxx 74Sxx 35Jxx PDFBibTeX XMLCite \textit{D. Koliesnikova} et al., J. Comput. Phys. 437, Article ID 110310, 32 p. (2021; Zbl 07505904) Full Text: DOI HAL
Dong, Zhaonan; Ern, Alexandre Hybrid high-order method for singularly perturbed fourth-order problems on curved domains. (English) Zbl 1490.65269 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 3091-3114 (2021). MSC: 65N30 65N15 74K20 PDFBibTeX XMLCite \textit{Z. Dong} and \textit{A. Ern}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 3091--3114 (2021; Zbl 1490.65269) Full Text: DOI arXiv
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela Parameter dependent finite element analysis for ferronematics solutions. (English) Zbl 1524.65844 Comput. Math. Appl. 103, 127-155 (2021). MSC: 65N30 76A15 35Q35 35-02 35B40 65K10 65N15 65N12 35R09 74E15 74F10 76W05 76T20 35Q74 PDFBibTeX XMLCite \textit{R. R. Maity} et al., Comput. Math. Appl. 103, 127--155 (2021; Zbl 1524.65844) Full Text: DOI arXiv
Marazzato, Frédéric A variational discrete element method for the computation of Cosserat elasticity. (English) Zbl 1479.74137 Comput. Mech. 68, No. 5, 1097-1109 (2021). MSC: 74S99 74A35 74B99 PDFBibTeX XMLCite \textit{F. Marazzato}, Comput. Mech. 68, No. 5, 1097--1109 (2021; Zbl 1479.74137) Full Text: DOI arXiv
Bonito, Andrea; Nochetto, Ricardo H.; Ntogkas, Dimitrios DG approach to large bending plate deformations with isometry constraint. (English) Zbl 1473.65287 Math. Models Methods Appl. Sci. 31, No. 1, 133-175 (2021). MSC: 65N30 65N12 74K20 PDFBibTeX XMLCite \textit{A. Bonito} et al., Math. Models Methods Appl. Sci. 31, No. 1, 133--175 (2021; Zbl 1473.65287) Full Text: DOI arXiv
Zonca, Stefano; Antonietti, Paola F.; Vergara, Christian A polygonal discontinuous Galerkin formulation for contact mechanics in fluid-structure interaction problems. (English) Zbl 1473.65227 Commun. Comput. Phys. 30, No. 1, 1-33 (2021). MSC: 65M60 74F10 74M15 PDFBibTeX XMLCite \textit{S. Zonca} et al., Commun. Comput. Phys. 30, No. 1, 1--33 (2021; Zbl 1473.65227) Full Text: DOI
Bonaldi, Francesco; Brenner, Konstantin; Droniou, Jérôme; Masson, Roland; Pasteau, Antoine; Trenty, Laurent Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. (English) Zbl 1482.65180 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1741-1777 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M08 65H10 65F10 65M12 35D30 76S05 74B10 74L10 76M12 74S05 PDFBibTeX XMLCite \textit{F. Bonaldi} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1741--1777 (2021; Zbl 1482.65180) Full Text: DOI arXiv
Borio, Andrea; Hamon, François P.; Castelletto, Nicola; White, Joshua A.; Settgast, Randolph R. Hybrid mimetic finite-difference and virtual element formulation for coupled poromechanics. (English) Zbl 1506.74390 Comput. Methods Appl. Mech. Eng. 383, Article ID 113917, 26 p. (2021). MSC: 74S05 65M60 74F10 PDFBibTeX XMLCite \textit{A. Borio} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113917, 26 p. (2021; Zbl 1506.74390) Full Text: DOI arXiv
Antonietti, Paola F.; Facciolà, Chiara; Houston, Paul; Mazzieri, Ilario; Pennesi, Giorgio; Verani, Marco High-order discontinuous Galerkin methods on polyhedral grids for geophysical applications: seismic wave propagation and fractured reservoir simulations. (English) Zbl 1470.86002 Di Pietro, Daniele (ed.) et al., Polyhedral methods in geosciences. Cham: Springer. SEMA SIMAI Springer Ser. 27, 159-225 (2021). MSC: 86-08 86A15 74S05 PDFBibTeX XMLCite \textit{P. F. Antonietti} et al., SEMA SIMAI Springer Ser. 27, 159--225 (2021; Zbl 1470.86002) Full Text: DOI
Tang, Xialan; Liu, Zhibin; Zhang, Baiju; Feng, Minfu On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity. (English) Zbl 1481.65191 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 909-939 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 74F10 PDFBibTeX XMLCite \textit{X. Tang} et al., ESAIM, Math. Model. Numer. Anal. 55, 909--939 (2021; Zbl 1481.65191) Full Text: DOI
Oyarzúa, Ricardo; Rhebergen, Sander; Solano, Manuel; Zúñiga, Paulo Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model. (English) Zbl 1477.65237 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 475-506 (2021). MSC: 65N30 65N15 76S05 76D07 74F10 74K25 35Q74 PDFBibTeX XMLCite \textit{R. Oyarzúa} et al., ESAIM, Math. Model. Numer. Anal. 55, 475--506 (2021; Zbl 1477.65237) Full Text: DOI
Khan, Arbaz; Powell, Catherine E. Parameter-robust stochastic Galerkin mixed approximation for linear poroelasticity with uncertain inputs. (English) Zbl 1471.65146 SIAM J. Sci. Comput. 43, No. 4, B855-B883 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65F08 74B10 76S05 35R60 PDFBibTeX XMLCite \textit{A. Khan} and \textit{C. E. Powell}, SIAM J. Sci. Comput. 43, No. 4, B855--B883 (2021; Zbl 1471.65146) Full Text: DOI arXiv
Burman, Erik; Duran, Omar; Ern, Alexandre; Steins, Morgane Convergence analysis of hybrid high-order methods for the wave equation. (English) Zbl 1480.65248 J. Sci. Comput. 87, No. 3, Paper No. 91, 30 p. (2021). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65M60 65M06 65N30 65M12 65M15 65L06 74J10 74S05 35Q74 PDFBibTeX XMLCite \textit{E. Burman} et al., J. Sci. Comput. 87, No. 3, Paper No. 91, 30 p. (2021; Zbl 1480.65248) Full Text: DOI HAL
González-Estrada, Octavio A.; Natarajan, Sundararajan; Ródenas, Juan José; Bordas, Stéphane P. A. Error estimation for the polygonal finite element method for smooth and singular linear elasticity. (English) Zbl 1524.74418 Comput. Math. Appl. 92, 109-119 (2021). MSC: 74S05 65N30 65N15 65N50 74B05 PDFBibTeX XMLCite \textit{O. A. González-Estrada} et al., Comput. Math. Appl. 92, 109--119 (2021; Zbl 1524.74418) Full Text: DOI
Dabaghi, Jad; Delay, Guillaume A unified framework for high-order numerical discretizations of variational inequalities. (English) Zbl 1524.65783 Comput. Math. Appl. 92, 62-75 (2021). MSC: 65N30 49J40 74M15 65K10 65N15 74B05 74M10 35Q74 74K15 PDFBibTeX XMLCite \textit{J. Dabaghi} and \textit{G. Delay}, Comput. Math. Appl. 92, 62--75 (2021; Zbl 1524.65783) Full Text: DOI HAL
Botti, Lorenzo; Botti, Michele; Di Pietro, Daniele A. An abstract analysis framework for monolithic discretisations of poroelasticity with application to hybrid high-order methods. (English) Zbl 1524.65517 Comput. Math. Appl. 91, 150-175 (2021). MSC: 65M60 65N30 76S05 74F10 74S05 65N08 65M06 65N12 86A05 PDFBibTeX XMLCite \textit{L. Botti} et al., Comput. Math. Appl. 91, 150--175 (2021; Zbl 1524.65517) Full Text: DOI arXiv
Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin; Repin, Sergey Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. (English) Zbl 1524.76458 Comput. Math. Appl. 91, 122-149 (2021). MSC: 76S05 76M10 74F10 74S05 65N30 PDFBibTeX XMLCite \textit{K. Kumar} et al., Comput. Math. Appl. 91, 122--149 (2021; Zbl 1524.76458) Full Text: DOI arXiv
Bertrand, Fleurianne; Starke, Gerhard A posteriori error estimates by weakly symmetric stress reconstruction for the Biot problem. (English) Zbl 1524.65758 Comput. Math. Appl. 91, 3-16 (2021). MSC: 65N30 65N15 74S05 76M10 76S05 35A15 76N06 74B10 PDFBibTeX XMLCite \textit{F. Bertrand} and \textit{G. Starke}, Comput. Math. Appl. 91, 3--16 (2021; Zbl 1524.65758) Full Text: DOI arXiv
Bertrand, Fleurianne (ed.); Ern, Alexandre (ed.); Radu, Florin Adrian (ed.) Editorial: Robust and reliable finite element methods in poromechanics. (English) Zbl 1461.00062 Comput. Math. Appl. 91, 1-2 (2021). MSC: 00B15 65-06 74-06 PDFBibTeX XMLCite \textit{F. Bertrand} (ed.) et al., Comput. Math. Appl. 91, 1--2 (2021; Zbl 1461.00062) Full Text: DOI
Camargo, Julia T.; White, Joshua A.; Borja, Ronaldo I. A macroelement stabilization for mixed finite element/finite volume discretizations of multiphase poromechanics. (English) Zbl 1460.65118 Comput. Geosci. 25, No. 2, 775-792 (2021). MSC: 65M60 65M08 65M12 74F10 76S05 PDFBibTeX XMLCite \textit{J. T. Camargo} et al., Comput. Geosci. 25, No. 2, 775--792 (2021; Zbl 1460.65118) Full Text: DOI arXiv
Bürger, Raimund; Kumar, Sarvesh; Mora, David; Ruiz-Baier, Ricardo; Verma, Nitesh Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. (English) Zbl 1469.65146 Adv. Comput. Math. 47, No. 1, Paper No. 2, 37 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M15 74F10 74L15 74N10 74B10 76S05 35K57 35B45 PDFBibTeX XMLCite \textit{R. Bürger} et al., Adv. Comput. Math. 47, No. 1, Paper No. 2, 37 p. (2021; Zbl 1469.65146) Full Text: DOI arXiv
Fu, Guosheng; Lehrenfeld, Christoph; Linke, Alexander; Streckenbach, Timo Locking-free and gradient-robust \(H(\operatorname{div})\)-conforming HDG methods for linear elasticity. (English) Zbl 1460.65146 J. Sci. Comput. 86, No. 3, Paper No. 39, 31 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 74B10 35Q74 PDFBibTeX XMLCite \textit{G. Fu} et al., J. Sci. Comput. 86, No. 3, Paper No. 39, 31 p. (2021; Zbl 1460.65146) Full Text: DOI arXiv
Du, Shukai; Sayas, Francisco-Javier A note on devising HDG+ projections on polyhedral elements. (English) Zbl 1452.65335 Math. Comput. 90, No. 327, 65-79 (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 74B05 PDFBibTeX XMLCite \textit{S. Du} and \textit{F.-J. Sayas}, Math. Comput. 90, No. 327, 65--79 (2021; Zbl 1452.65335) Full Text: DOI arXiv
La Spina, Andrea; Giacomini, Matteo; Huerta, Antonio Hybrid coupling of CG and HDG discretizations based on Nitsche’s method. (English) Zbl 1490.74107 Comput. Mech. 65, No. 2, 311-330 (2020). MSC: 74S05 74F05 74B05 PDFBibTeX XMLCite \textit{A. La Spina} et al., Comput. Mech. 65, No. 2, 311--330 (2020; Zbl 1490.74107) Full Text: DOI arXiv
Karabelas, Elias; Haase, Gundolf; Plank, Gernot; Augustin, Christoph M. Versatile stabilized finite element formulations for nearly and fully incompressible solid mechanics. (English) Zbl 1492.74138 Comput. Mech. 65, No. 1, 193-215 (2020). MSC: 74S05 74B20 PDFBibTeX XMLCite \textit{E. Karabelas} et al., Comput. Mech. 65, No. 1, 193--215 (2020; Zbl 1492.74138) Full Text: DOI arXiv
Fabien, Maurice S. A GPU-accelerated hybridizable discontinuous Galerkin method for linear elasticity. (English) Zbl 1474.74100 Commun. Comput. Phys. 27, No. 2, 513-545 (2020). MSC: 74S05 65Y05 65N30 65N55 PDFBibTeX XMLCite \textit{M. S. Fabien}, Commun. Comput. Phys. 27, No. 2, 513--545 (2020; Zbl 1474.74100) Full Text: DOI
Camargo, Liliana; López-Rodríguez, Bibiana; Osorio, Mauricio; Solano, Manuel An HDG method for Maxwell’s equations in heterogeneous media. (English) Zbl 1506.74394 Comput. Methods Appl. Mech. Eng. 368, Article ID 113178, 18 p. (2020). MSC: 74S05 65N30 65N12 65N15 74F15 74K35 78A25 PDFBibTeX XMLCite \textit{L. Camargo} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113178, 18 p. (2020; Zbl 1506.74394) Full Text: DOI
Franceschini, Andrea; Castelletto, Nicola; White, Joshua A.; Tchelepi, Hamdi A. Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures. (English) Zbl 1506.74400 Comput. Methods Appl. Mech. Eng. 368, Article ID 113161, 32 p. (2020). MSC: 74S05 65N30 65N08 65N12 74M10 PDFBibTeX XMLCite \textit{A. Franceschini} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113161, 32 p. (2020; Zbl 1506.74400) 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 PDFBibTeX XMLCite \textit{E. Ahmed} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113294, 30 p. (2020; Zbl 1506.76162) Full Text: DOI