Zhang, Zhizhuo; Barboteu, Mikaël; Nie, Xiaobing; Cao, Jinde Numerical analysis of evolutionary mixed variational problems: applications in modeling asphalt pavements with interlayer frictional contact conditions. (English) Zbl 07984891 Appl. Numer. Math. 209, 208-231 (2025). MSC: 74Mxx 74Sxx 49Jxx × Cite Format Result Cite Review PDF Full Text: DOI
Bammer, Patrick; Banz, Lothar; Schröder, Andreas Mixed finite elements of higher-order in elastoplasticity. (English) Zbl 07984881 Appl. Numer. Math. 209, 38-54 (2025). MSC: 65K15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Kwang-Yeon; Kwak, Do Young Mixed finite volume method for two-dimensional Maxwell’s equations. (English) Zbl 07981476 J. Korean Math. Soc. 62, No. 1, 77-96 (2025). MSC: 65N08 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus Finite element analysis for the Navier-Lamé eigenvalue problem. (English) Zbl 07980375 Appl. Numer. Math. 208, Part B, 1-20 (2025). MSC: 65N25 65N30 35Q74 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Suliman, Muhammad; Ibrahim, Muhammad; Algehyne, Ebrahem A.; Ali, Vakkar A study of an efficient numerical method for solving the generalized fractional reaction-diffusion model involving a distributed-order operator along with stability analysis. (English) Zbl 07979079 Comput. Math. Appl. 180, 61-75 (2025). MSC: 26A33 35R11 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ruo; Liu, Qicheng; Zhao, Shuhai A finite element method by patch reconstruction for the quad-curl problem using mixed formulations. (English) Zbl 07976972 Adv. Appl. Math. Mech. 17, No. 2, 517-537 (2025). MSC: 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Solovský, Jakub; Firoozabadi, Abbas Dynamic adaptive and fully unstructured tetrahedral gridding: application to \(\mathrm{CO}_2\) sequestration with consideration of full fluid compressibility. (English) Zbl 07972900 J. Comput. Phys. 521, Part 2, Article ID 113556, 23 p. (2025). MSC: 65Nxx 76Mxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Xiaojuan; Li, Maojun; Yin, Tao; Zhang, Shangyou A nonsingular-kernel Dirichlet-to-Dirichlet mapping method for the exterior Stokes problem. (English) Zbl 07971681 Adv. Comput. Math. 51, No. 1, Paper No. 2, 24 p. (2025). MSC: 35Q30 65N30 65N38 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Boon, Wietse M.; Nilsson, Erik Nodal auxiliary space preconditioners for mixed virtual element methods. (English) Zbl 07971371 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 363-387 (2025). MSC: 65N30 65N85 65N50 65N22 65F08 65F10 65F35 58A12 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Yiran; Chung, Eric; Sun, Shuyu Physics-preserving IMPES based multiscale methods for immiscible two-phase flow in highly heterogeneous porous media. (English) Zbl 07969183 J. Sci. Comput. 102, No. 2, Paper No. 38, 27 p. (2025). MSC: 65M60 65M06 65N30 65N50 65M12 65M15 76S05 76T06 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Shuangshuang A combined mixed finite element method and discontinuous Galerkin method for hybrid-dimensional fracture models of two-phase flow. (English) Zbl 07968684 J. Comput. Appl. Math. 459, Article ID 116373, 32 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 76T06 74F10 74L10 74R10 76M10 76M20 74S05 74S20 35Q35 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Xia, Yande; Yang, Yun-Bo An Arrow-Hurwicz iterative method based on charge-conservation for the stationary inductionless magnetohydrodynamic system. (English) Zbl 07968273 Numer. Algorithms 98, No. 2, 1045-1084 (2025). MSC: 65N30 65N12 65N15 76W05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Bermúdez, Isaac; Camaño, Jessika; Oyarzúa, Ricardo; Solano, Manuel A conforming mixed finite element method for a coupled Navier-Stokes/transport system modeling reverse osmosis processes. (English) Zbl 07967182 Comput. Methods Appl. Mech. Eng. 433, Part A, Article ID 117527, 24 p. (2025). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
El Malki, Imane; Alaa, Nour Eddine Mathematical study for an electrodeposition model using the topological degree. (English) Zbl 07962673 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 77-92 (2025). MSC: 35Q35 35M30 35Q92 65N30 92E20 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Ma, Shu; Sun, Weiwei Optimal analysis of finite element methods for the stochastic Stokes equations. (English) Zbl 07962046 Math. Comput. 94, No. 352, 551-583 (2025). MSC: 65M60 65M06 65N30 65M12 65M15 60H15 35R60 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Mengjie; He, Mingyan; Sun, Pengtao Mixed finite element analysis for a modified Poisson-Fermi interface problem accounting for electrostatic correlations. (English) Zbl 07954703 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108385, 18 p. (2025). MSC: 65N30 65N12 78A30 78A57 76X05 81V74 35J15 76M10 35Q20 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Zhai, Qijia; Zhang, Shiquan; Sun, Pengtao; Xie, Xiaoping A projection-based time-segmented reduced order model for fluid-structure interactions. (English) Zbl 07953974 J. Comput. Phys. 520, Article ID 113481, 22 p. (2025). MSC: 65Mxx 76Mxx 74Fxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caucao, Sergio; Gatica, Gabriel N.; Medrado, Saulo R.; Sobral, Yuri D. Nonlinear twofold saddle point-based mixed finite element methods for a regularized \(\mu(I)\)-rheology model of granular materials. (English) Zbl 07953962 J. Comput. Phys. 520, Article ID 113462, 26 p. (2025). MSC: 65N30 65N12 65N15 47H10 47J26 76D05 76T25 × Cite Format Result Cite Review PDF Full Text: DOI
Gharibi, Zeinab Mixed virtual element approximation for the five-field formulation of the steady Boussinesq problem with temperature-dependent parameters. (English) Zbl 07951580 J. Sci. Comput. 102, No. 1, Paper No. 4, 51 p. (2025). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N15 76D05 76R10 76M10 35D30 47H10 35A01 35B65 35A15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liguori, Francesco S.; Zucco, Giovanni; Madeo, Antonio A mixed hexahedral solid-shell finite element with self-equilibrated isostatic assumed stresses for geometrically nonlinear problems. (English) Zbl 07981587 Int. J. Numer. Methods Eng. 125, No. 24, Article ID e7596, 32 p. (2024). MSC: 74S05 74K25 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Ji Hyun Nonconforming mixed discretization for second-order elliptic problems in \(\mathbb{R}^3\). (English) Zbl 07978825 J. Appl. Math. Inform. 42, No. 5, 1227-1236 (2024). MSC: 65N30 65N25 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Shanshan; Huo, Fuchang; Liu, Shicheng A stabilizer-free weak Galerkin mixed finite element method for the biharmonic equation. (English) Zbl 07967242 Comput. Math. Appl. 176, 109-121 (2024). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Albazzal, Hussein; Lozinski, Alexei; Tittarelli, Roberta An a posteriori error estimate for a 0D-2D coupled model. (English) Zbl 07959775 SIAM J. Sci. Comput. 46, No. 6, B903-B924 (2024). MSC: 65N30 65N50 65N15 65-04 76N06 76N15 78A57 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xie, Huazhao; Shi, Dongyang Superconvergence analysis of nonlinear moisture migration equations. (Chinese. English summary) Zbl 07959390 Acta Math. Appl. Sin. 47, No. 3, 498-516 (2024). MSC: 65M60 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Jingyan; Wang, Qi; Zhou, Guanyu The mixed penalty method for the Signorini problem. (English) Zbl 07957227 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1823-1851 (2024). MSC: 74M15 74S05 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Ciarlet, Patrick jun.; Kachanovska, Maryna; Peillon, Étienne Study of a degenerate non-elliptic equation to model plasma heating. (English) Zbl 07957226 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1785-1821 (2024). MSC: 78M10 78M30 65N30 35A21 35G99 78A40 × Cite Format Result Cite Review PDF Full Text: DOI
Korneev, V. A posteriori error bounds for mixed FEM’s with curvilinear finite elements for 4th-order elliptic equations. (English) Zbl 07954471 Lobachevskii J. Math. 45, No. 6, 2843-2852 (2024). MSC: 65N30 65N50 65N15 35B25 35J30 35J75 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shuqi; Yang, Jinghan; Chen, Dezhi; Chen, Lixue A mixed finite element spatial discretization scheme and a higher-order accurate temporal discretization scheme for a strongly discontinuous electromagnetic interface condition in ideal sliding electrical contact problems. (English) Zbl 07954095 Int. J. Numer. Methods Eng. 125, No. 20, Article ID e7559, 25 p. (2024). MSC: 65Mxx 35Lxx × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Jeonghun J. A posteriori error estimates of Darcy flows with Robin-type jump interface conditions. (English) Zbl 07953242 Comput. Math. Appl. 174, 417-430 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Wenlong; Zhang, Jiwei A locking free numerical method for the poroelasticity-Forchheimer model. (English) Zbl 07953228 Comput. Math. Appl. 174, 183-203 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Riesselmann, Johannes; Rezaei, Nasrin; Placidi, Luca; Balzani, Daniel An efficient mixed finite element formulation for 3D strain gradient elasticity. (English) Zbl 07949580 Comput. Methods Appl. Mech. Eng. 432, Part B, Article ID 117422, 23 p. (2024). MSC: 74S05 74Bxx × Cite Format Result Cite Review PDF Full Text: DOI
Hai, Lu; Zhang, Hui; Wriggers, Peter; Huang, Yu-jie; Feng, Ye; Junker, Philipp A novel semi-explicit numerical algorithm for efficient 3D phase field modelling of quasi-brittle fracture. (English) Zbl 07949574 Comput. Methods Appl. Mech. Eng. 432, Part B, Article ID 117416, 23 p. (2024). MSC: 74-10 74S20 65M06 74K20 74N20 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Tain, Cyril; Caputo, Jean-Guy; Danaila, Ionut Influence of gauges in the numerical simulation of the time-dependent Ginzburg-Landau model. (English) Zbl 07948937 Acta Appl. Math. 194, Paper No. 13, 18 p. (2024). MSC: 65Mxx 82Dxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chaoui, Abderrazak; Djaghout, Manal Galerkin mixed finite element method for parabolic \(p\)-biharmonic equation with memory term. (English) Zbl 07948869 S\(\vec{\text{e}}\)MA J. 81, No. 3, 495-509 (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Sky, Adam; Hale, Jack S.; Zilian, Andreas; Bordas, Stéphane P. A.; Neff, Patrizio Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus. (English) Zbl 07947893 Comput. Methods Appl. Mech. Eng. 432, Part A, Article ID 117384, 27 p. (2024). MSC: 74K10 74K20 74K25 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gatti, Federico; Bressan, Andrea; Fumagalli, Alessio; Gallipoli, Domenico; Lalicata, Leonardo Maria; Pittaluga, Simone; Tamellini, Lorenzo Two Nitsche-based mixed finite element discretizations for the seepage problem in Richards’ equation. (English) Zbl 07947879 Comput. Methods Appl. Mech. Eng. 432, Part A, Article ID 117368, 20 p. (2024). MSC: 76M10 65M60 74F10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kadapa, Chennakesava Mixed displacement-pressure formulations and suitable finite elements for multimaterial problems with compressible and incompressible models. (English) Zbl 07947872 Comput. Methods Appl. Mech. Eng. 432, Part A, Article ID 117354, 25 p. (2024). MSC: 74S05 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuejun; Ye, Xiu; Zhang, Shangyou A macro BDM H-div mixed finite element on polygonal and polyhedral meshes. (English) Zbl 07944869 Appl. Numer. Math. 206, 283-297 (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N50 65N12 65N15 41A25 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Barré, Mathieu; Ciarlet, Patrick The \(\mathtt{T}\)-coercivity approach for mixed problems. (\(\mathtt{T}\)-coercivité et problèmes mixtes.) (English. French summary) Zbl 07939443 C. R., Math., Acad. Sci. Paris 362, 1051-1088 (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J57 76D07 78A30 76M10 78M10 35A01 35A02 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Chirkov, Aleksandr Yu; Nazarenko, Lidiia; Altenbach, Holm Plane crack problems within strain gradient elasticity and mixed finite element implementation. (English) Zbl 07937072 Comput. Mech. 74, No. 3, 703-721 (2024). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Li, Tongtong; Caucao, Sergio; Yotov, Ivan An augmented fully mixed formulation for the quasistatic Navier-Stokes-Biot model. (English) Zbl 07935849 IMA J. Numer. Anal. 44, No. 2, 1153-1210 (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barrenechea, Gabriel R.; Burman, Erik; Cáceres, Ernesto; Guzmán, Johnny Continuous interior penalty stabilization for divergence-free finite element methods. (English) Zbl 07935843 IMA J. Numer. Anal. 44, No. 2, 980-1002 (2024). MSC: 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jaroszkowski, Bartosz; Jensen, Max Finite element approximation of Hamilton-Jacobi-Bellman equations with nonlinear mixed boundary conditions. (English) Zbl 07935831 IMA J. Numer. Anal. 44, No. 1, 576-603 (2024). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gharibi, Zeinab A weak Galerkin pseudostress-based mixed finite element method on polygonal meshes: application to the Brinkman problem appearing in porous media. (English) Zbl 07932432 Numer. Algorithms 97, No. 3, 1341-1366 (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 34B15 65L60 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Hao; Leung, Shingyu; Qian, Jianliang Operator-splitting/finite element methods for the Minkowski problem. (English) Zbl 07931276 SIAM J. Sci. Comput. 46, No. 5, A3230-A3257 (2024). MSC: 65M60 65M06 65N30 35K96 35K93 52A10 53A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frachon, Thomas; Nilsson, Erik; Zahedi, Sara Divergence-free cut finite element methods for Stokes flow. (English) Zbl 07930660 BIT 64, No. 4, Paper No. 39, 43 p. (2024). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N85 65N50 65N22 65N12 65F35 41A25 76D07 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sutter, Felix; Kamlah, Marc Macroscopic modeling of flexoelectricity-driven remanent polarization in piezoceramics. (English) Zbl 07929175 Eur. J. Mech., A, Solids 108, Article ID 105410, 16 p. (2024). MSC: 74F15 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Weimin; Jing, Feifei Numerical analysis of a steady Oseen flow problem with frictional type boundary conditions. (English) Zbl 07928435 Migórski, Stanisław (ed.) et al., Nonsmooth problems with applications in mechanics. Selected papers based on the presentations of the conference, Będlewo, Poland, June 17–22, 2023. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 127, 147-165 (2024). MSC: 65N30 65K15 65N12 65N15 35B65 35J87 49K20 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Xiaobing; Vo, Liet High moment and pathwise error estimates for fully discrete mixed finite element approximations of stochastic Navier-Stokes equations with additive noise. (English) Zbl 1547.65011 Commun. Comput. Phys. 36, No. 3, 821-849 (2024). MSC: 65C30 60H15 60H35 76D06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hu, Kaibo; Sun, Jiguang; Zhang, Qian Quadratic and cubic Lagrange finite elements for mixed Laplace eigenvalue problems on criss-cross meshes. (English) Zbl 07925735 Results Appl. Math. 23, Article ID 100480, 14 p. (2024). MSC: 65Nxx 78Mxx 35Pxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qian, Yanxia; Wang, Fei; Yan, Wenjing Mixed discontinuous Galerkin method for quasi-Newtonian Stokes flows. (English) Zbl 07924439 J. Comput. Math. 42, No. 3, 885-910 (2024). MSC: 65N30 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Igreja, Iury Stabilized primal and dual hybrid mixed DGFEM for Darcy flow. (English) Zbl 1547.65178 J. Appl. Anal. Comput. 14, No. 3, 1269-1301 (2024). MSC: 65N30 65N12 65N15 76M10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Doss, L. Jones Tarcius; Merlin, V. Jenish An optimal order \(H^1\)-Galerkin mixed finite element method for good Boussinesq equation. (English) Zbl 1547.65139 Comput. Appl. Math. 43, No. 7, Paper No. 402, 29 p. (2024). MSC: 65M60 35G20 35Q53 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Droniou, Jérôme; Laaziri, Mohamed; Masson, Roland Discretisations of mixed-dimensional thermo-hydro-mechanical models preserving energy estimates. (English) Zbl 07922785 J. Comput. Phys. 515, Article ID 113295, 24 p. (2024). MSC: 65Nxx 74Mxx 74Sxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moufawad, Sophie; Nassif, Nabil; Triki, Faouzi Direct and inverse problem for gas diffusion in polar firn. (English) Zbl 07920282 Commun. Anal. Comput. 2, No. 1, 71-109 (2024). MSC: 35A01 35A02 35A15 35G16 35M13 35R30 65M22 65M32 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Yining; Wen, Cao; Liu, Yang; Li, Hong; Wang, Jinfeng Optimal time two-mesh mixed finite element method for a nonlinear fractional hyperbolic wave model. (English) Zbl 1547.65153 Commun. Anal. Mech. 16, No. 1, 24-52 (2024). MSC: 65M60 35R11 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Di Pietro, Daniele A.; Hanot, Marien-Lorenzo A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem. (English) Zbl 1547.65175 Math. Models Methods Appl. Sci. 34, No. 9, 1597-1648 (2024). MSC: 65N30 31B30 35Q60 65N99 74K20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gharibi, Zeinab; Dehghan, Mehdi Analysis of weak Galerkin mixed finite element method based on the velocity-pseudostress formulation for Navier-Stokes equation on polygonal meshes. (English) Zbl 07915986 J. Sci. Comput. 101, No. 1, Paper No. 12, 37 p. (2024). MSC: 65N30 65N15 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vijaywargiya, Arjun; Fu, Guosheng Two finite element approaches for the porous medium equation that are positivity preserving and energy stable. (English) Zbl 1547.65149 J. Sci. Comput. 100, No. 3, Paper No. 86, 23 p. (2024). MSC: 65M60 65M06 65N30 65N12 52C22 35B09 76S05 76D07 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mankour, Abdeljelil; Belabbes, Bachir B. Investigating interfacial cracks in bi-materials through a 4-point bending model analysis. (English) Zbl 07915613 Theor. Appl. Mech. (Belgrade) 51, No. 1, 27-38 (2024). MSC: 74B05 74E30 74Rxx 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Baruah, Sandipan; Singh, Indra Vir A numerical framework based on localizing gradient damage methodology for high cycle fatigue crack growth simulations. (English) Zbl 07912466 Comput. Mech. 74, No. 2, 417-446 (2024). MSC: 74S05 74R10 74R05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Huiqin; Chen, Yanping; Zhou, Jianwei; Wang, Yang Finite element scheme with H2N2 interpolation for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 07908871 Adv. Appl. Math. Mech. 16, No. 5, 1197-1222 (2024). MSC: 78A48 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chao; Cui, Jintao; Sun, Jiguang Error estimates for a mixed finite element method for the Maxwell’s transmission eigenvalue problem. (English) Zbl 07902504 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 1185-1200 (2024). Reviewer: Michael Jung (Dresden) MSC: 65N25 65N30 65L15 65N15 65N12 78M10 78A46 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI
Batoz, Jean-Louis; Katili, Irwan; Widyatmoko, Susilo; Antaluca, Eduard An efficient shear and bending-locking-free quadrilateral plate element using a modified functional and the Bergan free formulation. (English) Zbl 07901018 Int. J. Numer. Methods Eng. 125, No. 12, Article ID e7451, 31 p. (2024). MSC: 74S05 74K20 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin A two-grid decoupled penalty finite element method for the stationary Stokes-Darcy problem. (English) Zbl 07900530 Commun. Nonlinear Sci. Numer. Simul. 136, Article ID 108101, 10 p. (2024). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D07 76S05 65N30 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qi; Hu, Jingyan; Zhou, Guanyu The mixed method with two Lagrange multiplier formulations for the Signorini problem. (English) Zbl 1545.65455 J. Comput. Appl. Math. 452, Article ID 116115, 22 p. (2024). MSC: 65N30 65N15 74M10 74M15 74B10 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Keram, Aytura; Huang, Pengzhan Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second-order scheme. (English) Zbl 1545.35112 ZAMM, Z. Angew. Math. Mech. 104, No. 7, Article ID e202400025, 17 p. (2024). MSC: 35Q35 35Q60 76W05 76D05 76T20 76U05 78A30 82D80 35D30 65M60 65M06 65N30 65B05 76M20 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Huadong; Xie, Wen A new optimal error analysis of a mixed finite element method for advection-diffusion-reaction Brinkman flow. (English) Zbl 1545.65362 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23097, 22 p. (2024). MSC: 65M60 65M06 65N30 65M15 76S05 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
He, Wenlong; Zhang, Jiwei Analysis of new mixed finite element method for a Barenblatt-Biot poroelastic model. (English) Zbl 07899272 Comput. Math. Appl. 171, 34-59 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Papanicolopulos, Stefanos-Aldo Efficient strain-gradient mixed elements using shared degrees of freedom for the discretised fields. (English) Zbl 1547.74072 Int. J. Numer. Methods Eng. 125, No. 16, Article ID e7536, 11 p. (2024). MSC: 74S05 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Lin; Mu, Wei; Peng, Hui; Wang, Xiuli The weak Galerkin finite element method for the dual-porosity-Stokes model. (English) Zbl 07896244 Int. J. Numer. Anal. Model. 21, No. 4, 587-608 (2024). MSC: 65M60 65M12 65M15 35M10 35Q35 76D07 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Pestana, Jennifer; Silvester, David J. Fast solution of incompressible flow problems with two-level pressure approximation. (English) Zbl 1547.76066 Numer. Math. 156, No. 4, 1579-1602 (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 76M10 76D07 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Piao, Guang-Ri; Lee, Hyung-Chun Real-time computing for a parameterized feedback control problem of Boussinesq equations by POD and deep learning. (English) Zbl 1542.76023 East Asian J. Appl. Math. 14, No. 3, 507-529 (2024). MSC: 76D55 35M33 35Q35 49M05 49M41 65F55 78A40 × Cite Format Result Cite Review PDF Full Text: DOI
Brahim, Noureddine Touati; Chaoui, Abderrezak; Henka, Youcef On the study of parabolic degenerate p-biharmonic problem with memory. (English) Zbl 1547.35412 J. Appl. Math. Comput. 70, No. 4, 3175-3192 (2024). MSC: 35K35 35K92 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Suthar, Meghana; Yadav, Sangita; Kumar, Sarvesh Mixed virtual element method for integro-differential equations of parabolic type. (English) Zbl 1542.65194 J. Appl. Math. Comput. 70, No. 4, 2827-2856 (2024). MSC: 65R20 45K05 65M60 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
El Kadmiri, Redouane; Belaasilia, Youssef; Timesli, Abdelaziz Analysis of inhomogeneous structures in small and large deformations using the finite element-meshless coupling method. (English) Zbl 07894804 Comput. Math. Appl. 169, 273-297 (2024). MSC: 74-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Abaali, M.; Ouchtout, S. Mathematical modeling of the chemotaxis-biodenitrification process. (English) Zbl 07894789 Comput. Math. Appl. 169, 56-67 (2024). MSC: 92-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Luber, Tomáš; Sysala, Stanislav Robust block diagonal preconditioners for poroelastic problems with strongly heterogeneous material. (English) Zbl 07893431 Numer. Linear Algebra Appl. 31, No. 3, e2546, 18 p. (2024). MSC: 65F08 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Bansal, Sham; Kumar, Ashok; Saini, Akshay; Negi, Anup Singh; Singh, Satyvir Exploring the Atwood number impact on shock-driven hydrodynamic instability at pentagonal interface using discontinuous Galerkin simulations. (English) Zbl 07893205 Physica D 467, Article ID 134276, 17 p. (2024). MSC: 76E17 76L05 76T17 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xuehai; Zhang, Chao Robust mixed finite element methods for a quad-curl singular perturbation problem. (English) Zbl 07890945 J. Comput. Appl. Math. 451, Article ID 116117, 19 p. (2024). MSC: 65N12 65N22 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caucao, Sergio; Gatica, Gabriel N.; Ortega, Juan P. A three-field mixed finite element method for the convective Brinkman-Forchheimer problem with varying porosity. (English) Zbl 1542.65154 J. Comput. Appl. Math. 451, Article ID 116090, 21 p. (2024). MSC: 65N30 65N12 65N15 35Q79 80A19 76R05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Lishan; Stals, Linda Data-based adaptive refinement of finite element thin plate spline. (English) Zbl 07890861 J. Comput. Appl. Math. 451, Article ID 115975, 22 p. (2024). MSC: 65Dxx 41Axx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Weishaupt, Kilian; Yotov, Ivan A mortar method for the coupled Stokes-Darcy problem using the MAC scheme for Stokes and mixed finite elements for Darcy. (English) Zbl 1541.65140 Comput. Geosci. 28, No. 3, 413-430 (2024). MSC: 65N22 65N30 76S05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nie, Xiupeng; Zou, Degao; Chen, Kai; Kong, Xianjing; Yi, Guoyang A SBFEM formula for the mixed-order hexahedron interpolation based on serendipity elements. (English) Zbl 07886249 Eng. Anal. Bound. Elem. 164, Article ID 105760, 15 p. (2024). MSC: 74S05 65M60 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Minghui; Zhou, Zhaojie Mixed virtual element methods for elliptic optimal control problems with boundary observations in \(L^2(\Gamma)\). (English) Zbl 1543.65199 Appl. Numer. Math. 203, 97-112 (2024). MSC: 65N30 65N15 49J20 49M41 93B05 35B65 35J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yuejie; Li, Huanrong; Zeng, Yihui; Luo, Zhendong A preserving accuracy two-grid reduced-dimensional Crank-Nicolson mixed finite element method for nonlinear wave equation. (English) Zbl 07885855 Appl. Numer. Math. 202, 1-20 (2024). MSC: 65Mxx 65Nxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Han, Weimin; Qiu, Hailong; Mei, Liquan On a Stokes hemivariational inequality for incompressible fluid flows with damping. (English) Zbl 07885666 Nonlinear Anal., Real World Appl. 79, Article ID 104131, 16 p. (2024). Reviewer: Deepak Kumar Srivastava (Lucknow) MSC: 76D07 76M30 76M10 65N30 65N15 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Jinhe; Yin, Zhe; Zhu, Ailing \(H^1\)-Galerkin mixed finite element method for the vibration equation of beam with structural damping. (English) Zbl 07884757 Comput. Appl. Math. 43, No. 5, Paper No. 308, 21 p. (2024). MSC: 65M60 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Kulikov, G. M.; Plotnikova, S. V.; Mamontov, A. A. Assessment of second Piola-Kirchhoff and Cauchy stress tensors in finite rotation sandwich and laminated shells under non-conservative pressure loads. (English) Zbl 07884718 Acta Mech. 235, No. 7, 4489-4513 (2024). MSC: 74K25 74E30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Álvarez, Mario; Colmenares, Eligio; Sequeira, Filánder A. A posteriori error analysis of a semi-augmented finite element method for double-diffusive natural convection in porous media. (English) Zbl 1545.65419 Numer. Methods Partial Differ. Equations 40, No. 4, Article ID e23090, 48 p. (2024). MSC: 65N30 76S05 76D05 76R10 65N15 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Nuodi; Chen, Yanping; Huang, Yunqing Two-grid methods for Maxwell’s equations in a Cole-Cole dispersive medium. (English) Zbl 07878413 East Asian J. Appl. Math. 14, No. 2, 371-396 (2024). MSC: 65-XX 35Q61 35R11 65N30 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
López-Rodríguez, Bibiana; Querales, José; Venegas, Pablo Finite element approximation for an axisymmetric time-dependent acoustic problem. (English) Zbl 07878292 J. Comput. Appl. Math. 448, Article ID 115940, 15 p. (2024). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Gatica, Gabriel N.; Gharibi, Zeinab A Banach spaces-based fully mixed virtual element method for the stationary two-dimensional Boussinesq equations. (English) Zbl 1541.65152 J. Comput. Appl. Math. 447, Article ID 115885, 28 p. (2024). MSC: 65N30 65N12 65N15 65N99 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wanxiang; Chen, Yanping; Zhou, Jianwei; Liang, Qin Unconditional error analysis of linearized BDF2 mixed virtual element method for semilinear parabolic problems on polygonal meshes. (English) Zbl 1542.65114 J. Comput. Appl. Math. 446, Article ID 115864, 13 p. (2024). MSC: 65M60 65M06 65N30 65H10 65M12 65M15 35K58 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Huangxin; Chen, Yuxiang; Kou, Jisheng Energy stable finite element approximations of gas flow in poroelastic media. (English) Zbl 07875022 Comput. Methods Appl. Mech. Eng. 428, Article ID 117082, 24 p. (2024). MSC: 76M10 65M60 74F10 76N15 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Fuhao; Yang, Wei; Li, Jichun A finite element method for hyperbolic metamaterials with applications for hyperlens. (English) Zbl 1543.65156 SIAM J. Numer. Anal. 62, No. 3, 1420-1442 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 78A60 78M10 78M20 × Cite Format Result Cite Review PDF Full Text: DOI
Mukherjee, Anjan; Banerjee, Biswanath Torsional response of microwires using multi-term nonlinear kinematic hardening model within strain gradient plasticity framework. (English) Zbl 1542.74008 Eur. J. Mech., A, Solids 106, Article ID 105317, 20 p. (2024). MSC: 74C10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Araya, Rodolfo; Caiazzo, Alfonso; Chouly, Franz Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche. (English) Zbl 07867428 Comput. Methods Appl. Mech. Eng. 427, Article ID 117037, 16 p. (2024). MSC: 65N30 35Q35 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sauren, Bjorn; Klinkel, Sven On the stability of mixed polygonal finite element formulations in nonlinear analysis. (English) Zbl 1548.74890 Int. J. Numer. Methods Eng. 125, No. 9, Article ID e7358, 27 p. (2024). MSC: 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Führer, Thomas On a mixed FEM and a FOSLS with \(H^{-1}\) loads. (English) Zbl 1541.65150 Comput. Methods Appl. Math. 24, No. 2, 363-378 (2024). MSC: 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv