Lo Franco, Simona; Parrinello, Francesco; Borino, Guido A variationally-consistent hybrid equilibrium element formulation for linear poroelasticity. (English) Zbl 07972885 Comput. Methods Appl. Mech. Eng. 434, Article ID 117576, 22 p. (2025). MSC: 74-XX 76-XX × 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
Zhou, Dilong; Guiraldello, Rafael T.; Pereira, Felipe Multiscale mixed methods with improved accuracy: the role of oversampling and smoothing. (English) Zbl 07953983 J. Comput. Phys. 520, Article ID 113490, 19 p. (2025). MSC: 65Nxx 76Sxx 76Mxx × 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
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
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
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
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
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
Oliari, Victor B.; Hancco Ancori, Ricardo J.; Devloo, Philippe R. B. A comparative numerical study of finite element methods resulting in Mass conservation for Poisson’s problem: primal hybrid, mixed and their hybridized formulations. (English) Zbl 07899262 Comput. Math. Appl. 170, 213-227 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ernst, Oliver G.; Sprungk, Björn; Zhang, Chao Uncertainty modeling and propagation for groundwater flow: a comparative study of surrogates. (English) Zbl 07896987 GEM. Int. J. Geomath. 15, Paper No. 11, 41 p. (2024). MSC: 62M30 60G60 60H35 62P12 65C05 × Cite Format Result Cite Review PDF Full Text: DOI
Alvarez, María Luz; Armentano, María Gabriela; Durán, Ricardo G. Raviart-Thomas interpolation in fractional weighted Sobolev spaces. (English) Zbl 07894770 Comput. Math. Appl. 168, 39-45 (2024). MSC: 65-XX 41-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
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
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
Nardean, Stefano; Ferronato, Massimiliano; Abushaikha, Ahmad Block constrained pressure residual preconditioning for two-phase flow in porous media by mixed hybrid finite elements. (English) Zbl 1540.76097 Comput. Geosci. 28, No. 2, 253-272 (2024). MSC: 76M10 76S05 65F08 65M22 65N08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Frachon, Thomas; Hansbo, Peter; Nilsson, Erik; Zahedi, Sara A divergence preserving cut finite element method for Darcy flow. (English) Zbl 1540.65484 SIAM J. Sci. Comput. 46, No. 3, A1793-A1820 (2024). MSC: 65N30 65N22 65N12 65N15 76S05 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Das, Avijit; Lamichhane, Bishnu P.; Nataraj, Neela A unified mixed finite element method for fourth-order time-dependent problems using biorthogonal systems. (English) Zbl 07859642 Comput. Math. Appl. 165, 52-69 (2024). MSC: 65-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Meliani, Mostafa; Nikolić, Vanja Mixed approximation of nonlinear acoustic equations: well-posedness and a priori error analysis. (English) Zbl 07856294 Appl. Numer. Math. 198, 94-111 (2024). MSC: 65Mxx 35Lxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ruas, Vitoriano Fine error bounds for approximate asymmetric saddle point problems. (English) Zbl 1549.65497 Comput. Appl. Math. 43, No. 4, Paper No. 160, 10 p. (2024). MSC: 65N30 70G75 74A15 76M30 78M30 80M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Karaa, Samir; Mustapha, Kassem; Ahmed, Naveed A mixed FEM for a time-fractional Fokker-Planck model. (English) Zbl 1541.65101 J. Sci. Comput. 99, No. 3, Paper No. 59, 17 p. (2024). MSC: 65M60 65M06 65N30 65D32 65M12 65M15 65M70 35S10 35Q84 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Averweg, Solveigh; Schwarz, Alexander; Schwarz, Carina; Schröder, Jörg A monolithic fluid-structure interaction approach using mixed LSFEM with high-order time integration. (English) Zbl 1539.74104 Comput. Methods Appl. Mech. Eng. 423, Article ID 116783, 26 p. (2024). MSC: 74F10 65M25 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Jun; Liang, Yizhou; Lin, Ting Finite element grad grad complexes and elasticity complexes on cuboid meshes. (English) Zbl 1540.65487 J. Sci. Comput. 99, No. 2, Paper No. 50, 30 p. (2024). MSC: 65N30 35B65 58A12 83C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vohra, Naren; Peszynska, Malgorzata Robust conservative scheme and nonlinear solver for phase transitions in heterogeneous permafrost. (English) Zbl 07834847 J. Comput. Appl. Math. 442, Article ID 115719, 25 p. (2024). MSC: 65Mxx 65Nxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Xuehai; Zhang, Chao; Zhou, Yaqian; Zhu, Yangxing New low-order mixed finite element methods for linear elasticity. (English) Zbl 1541.65156 Adv. Comput. Math. 50, No. 2, Paper No. 17, 31 p. (2024). MSC: 65N30 65N12 65N15 65N22 74B10 35Q74 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Korotov, Sergey; Křížek, Michal Divergence-free finite element spaces for stress tensors. (English) Zbl 07756751 J. Comput. Appl. Math. 438, Article ID 115537, 7 p. (2024). MSC: 65Nxx 74Sxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Caucao, Sergio; Gatica, Gabriel N.; Gatica, Luis F. A Banach spaces-based mixed finite element method for the stationary convective Brinkman-Forchheimer problem. (English) Zbl 1527.65125 Calcolo 60, No. 4, Paper No. 51, 32 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 76S05 76D07 76R05 35A01 35A02 35B20 47H10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Colomés, Oriol; Verdugo, Francesc; Akkerman, Ido A monolithic finite element formulation for the hydroelastic analysis of very large floating structures. (English) Zbl 07769181 Int. J. Numer. Methods Eng. 124, No. 3, 714-751 (2023). MSC: 65Nxx 74Fxx 74Hxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Schenk, Christina; Portillo, David; Romero, Ignacio Linking discrete and continuum diffusion models: well-posedness and stable finite element discretizations. (English) Zbl 1534.76053 Int. J. Numer. Methods Eng. 124, No. 9, 2105-2121 (2023). MSC: 76M10 76R50 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertrand, Fleurianne Novel Raviart-Thomas basis functions on anisotropic finite elements. (English) Zbl 1527.65124 Comput. Methods Appl. Math. 23, No. 4, 831-847 (2023). MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Careaga, Julio; Gatica, Gabriel N. Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation. (English) Zbl 1522.35397 ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2529-2556 (2023). MSC: 35Q35 35Q49 76T20 74F10 35A15 35A01 35A02 35D30 65M60 65M08 65M06 65N30 65N08 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Egger, H.; Giesselmann, J.; Kunkel, T.; Philippi, N. An asymptotic-preserving discretization scheme for gas transport in pipe networks. (English) Zbl 07726058 IMA J. Numer. Anal. 43, No. 4, 2137-2168 (2023). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Juntao; Hoang, Viet Ha Multilevel Markov chain Monte Carlo for Bayesian inverse problems for linear elasticity equations in the Hellinger-Reissner mixed and dual mixed forms with Gaussian prior. (English) Zbl 1514.65158 Pure Appl. Funct. Anal. 8, No. 2, 713-750 (2023). MSC: 65N21 65F15 65C05 65N30 × Cite Format Result Cite Review PDF Full Text: Link
Alvarez, María Luz; Durán, Ricardo G. A posteriori error estimates for mixed approximations of degenerate elliptic problems. (English) Zbl 1545.65418 Appl. Numer. Math. 188, 146-159 (2023). MSC: 65N30 65N15 35J70 42B25 × Cite Format Result Cite Review PDF Full Text: DOI
Anaya, Verónica; Caraballo, Rubén; Ruiz-Baier, Ricardo; Torres, Héctor On augmented finite element formulations for the Navier-Stokes equations with vorticity and variable viscosity. (English) Zbl 1538.76098 Comput. Math. Appl. 143, 397-416 (2023). MSC: 76M10 65N30 76D05 76D07 65N12 76D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basava, Seshadri R.; Wollner, Winnifried Gradient robust mixed methods for nearly incompressible elasticity. (English) Zbl 1516.65122 J. Sci. Comput. 95, No. 3, Paper No. 93, 20 p. (2023). MSC: 65N30 65N15 74B05 74F05 76D07 76M10 74S05 35Q74 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liao, Yulei; Ming, Pingbing; Xu, Yun Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems. (English) Zbl 1534.65240 J. Sci. Comput. 95, No. 1, Paper No. 4, 31 p. (2023). MSC: 65N30 65N15 65N12 74K20 74B10 35B25 35J15 35A15 35A01 35A02 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gómez-Vargas, Bryan; Mardal, Kent-André; Ruiz-Baier, Ricardo; Vinje, Vegard Twofold saddle-point formulation of Biot poroelasticity with stress-dependent diffusion. (English) Zbl 1531.65237 SIAM J. Numer. Anal. 61, No. 3, 1449-1481 (2023). MSC: 65N30 92C50 76S05 92-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jayadharan, Manu; Kern, Michel; Vohralík, Martin; Yotov, Ivan A space-time multiscale mortar mixed finite element method for parabolic equations. (English) Zbl 1533.65151 SIAM J. Numer. Anal. 61, No. 2, 675-706 (2023). Reviewer: Shuji Yoshikawa (Oita) MSC: 65M55 65M60 65N30 65N50 65M12 65M15 65N15 65M22 65F08 65Y05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Kosin, V.; Beuchler, S.; Wick, T. A new mixed method for the biharmonic eigenvalue problem. (English) Zbl 1538.65475 Comput. Math. Appl. 136, 44-53 (2023). MSC: 65N25 65N30 31A30 74K20 74H15 35Q74 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sauren, Bjorn; Klarmann, Simon; Kobbelt, Leif; Klinkel, Sven A mixed polygonal finite element formulation for nearly-incompressible finite elasticity. (English) Zbl 1536.74274 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115656, 24 p. (2023). MSC: 74S05 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Abreu, E.; Ferraz, P.; Espírito Santo, A. M.; Pereira, F.; Santos, L. G. C.; Sousa, F. S. Recursive formulation and parallel implementation of multiscale mixed methods. (English) Zbl 07625379 J. Comput. Phys. 473, Article ID 111681, 21 p. (2023). MSC: 65Nxx 76Mxx 76Sxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tber, Moulay Hicham A semi-Lagrangian mixed finite element method for advection-diffusion variational inequalities. (English) Zbl 1540.65390 Math. Comput. Simul. 204, 202-215 (2023). MSC: 65M60 49J40 × Cite Format Result Cite Review PDF Full Text: DOI
Das, Sambit; Motamarri, Phani; Subramanian, Vishal; Rogers, David M.; Gavini, Vikram DFT-FE 1.0: a massively parallel hybrid CPU-GPU density functional theory code using finite-element discretization. (English) Zbl 07682148 Comput. Phys. Commun. 280, Article ID 108473, 29 p. (2022). MSC: 65-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Petrolito, J.; Ionescu, D. Nonlinear analysis of frames with shear deformation using higher-order mixed finite elements. (English) Zbl 07633861 Int. J. Comput. Methods 19, No. 6, Article ID 2141009, 21 p. (2022). MSC: 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Lederer, Philip L.; Merdon, Christian Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. (English) Zbl 1527.76033 J. Numer. Math. 30, No. 4, 267-294 (2022). MSC: 76M10 65N30 65N15 76D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caucao, Sergio; Oyarzúa, Ricardo; Villa-Fuentes, Segundo A posteriori error analysis of a momentum and thermal energy conservative mixed FEM for the Boussinesq equations. (English) Zbl 1502.65190 Calcolo 59, No. 4, Paper No. 45, 40 p. (2022). MSC: 65N30 65N12 65N15 80A19 76R05 76D05 76D07 35D30 35A01 35A02 35Q35 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI
Camaño, Jessika; García, Carlos; Oyarzúa, Ricardo Analysis of a new mixed FEM for stationary incompressible magneto-hydrodynamics. (English) Zbl 1524.65768 Comput. Math. Appl. 127, 65-79 (2022). MSC: 65N30 76M10 76W05 35Q35 65N15 65N12 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Ortigosa, R.; Martínez-Frutos, J.; Gil, A. J. A computational framework for topology optimisation of flexoelectricity at finite strains considering a multi-field micromorphic approach. (English) Zbl 1507.74147 Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115604, 34 p. (2022). MSC: 74F15 74P10 × Cite Format Result Cite Review PDF Full Text: DOI
Meddahi, Salim; Ruiz-Baier, Ricardo A new DG method for a pure-stress formulation of the Brinkman problem with strong symmetry. (English) Zbl 1497.65231 Netw. Heterog. Media 17, No. 6, 893-916 (2022). MSC: 65N30 65N12 65N15 76M10 76S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Long, Xiaonian; Ding, Qianqian Convergence analysis of a conservative finite element scheme for the thermally coupled incompressible inductionless MHD problem. (English) Zbl 1500.65064 Appl. Numer. Math. 182, 176-195 (2022). MSC: 65M60 65M06 65N30 76W05 76M10 76M20 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Slimani, S.; Farhloul, M.; Medarhri, I.; Najib, K.; Zine, A. Mixed formulation of a stationary seawater intrusion problem in confined aquifers. (English) Zbl 1502.65215 Numer. Algorithms 91, No. 2, 651-669 (2022). MSC: 65N30 65N15 76T06 76U60 86A05 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Bei; Zhao, Jikun; Li, Minghao; Chen, Hongru Stabilized nonconforming mixed finite element method for linear elasticity on rectangular or cubic meshes. (English) Zbl 1513.65473 J. Comput. Math. 40, No. 6, 869-885 (2022). MSC: 65N30 65N15 65N12 74B10 35Q74 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Boon, Wietse M.; Hornkjøl, Martin; Kuchta, Miroslav; Mardal, Kent-André; Ruiz-Baier, Ricardo Parameter-robust methods for the Biot-Stokes interfacial coupling without Lagrange multipliers. (English) Zbl 07568560 J. Comput. Phys. 467, Article ID 111464, 25 p. (2022). MSC: 65Nxx 65Fxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zech, Simon; Ray, Nadja; Schulz, Raphael Numerical investigations of degenerate equations for fluid flow and reactive transport in clogging porous media. (English) Zbl 1502.65152 J. Math. Anal. Appl. 515, No. 2, Article ID 126384, 25 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Ainsworth, Mark; Parker, Charles A mass conserving mixed \(hp\)-FEM scheme for Stokes flow. III: Implementation and preconditioning. (English) Zbl 1492.65296 SIAM J. Numer. Anal. 60, No. 3, 1574-1606 (2022). MSC: 65N30 65N55 65F08 65F10 35P15 76M10 76D07 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Archilla, Bosco; Novo, Julia; Rubino, Samuele Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations. (English) Zbl 1486.65167 J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022). MSC: 65M60 35Q30 65M12 65M15 65M20 76D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meindlhumer, Martin; Pechstein, Astrid; Jakoby, Bernhard Mixed finite elements applied to acoustic wave problems in compressible viscous fluids under piezoelectric actuation. (English) Zbl 1493.65221 Acta Mech. 233, No. 5, 1967-1986 (2022). MSC: 65N30 76Q05 76N10 74F15 76M10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Averweg, Solveigh; Schwarz, Alexander; Schwarz, Carina; Schröder, Jörg 3D modeling of generalized Newtonian fluid flow with data assimilation using the least-squares finite element method. (English) Zbl 1507.76005 Comput. Methods Appl. Mech. Eng. 392, Article ID 114668, 19 p. (2022). MSC: 76A05 76M10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Benkhaldoun, Fayssal; Bradji, Abdallah A new error estimate for a primal-dual Crank-Nicolson mixed finite element using lowest degree Raviart-Thomas spaces for parabolic equations. (English) Zbl 1489.65137 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 489-497 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M15 65M12 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Arbogast, Todd; Tao, Zhen; Wang, Chuning Direct serendipity and mixed finite elements on convex quadrilaterals. (English) Zbl 1486.65239 Numer. Math. 150, No. 4, 929-974 (2022). MSC: 65N30 65N12 65D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Camaño, Jessika; Caucao, Sergio; Oyarzúa, Ricardo; Villa-Fuentes, Segundo A posteriori error analysis of a momentum conservative Banach spaces based mixed-FEM for the Navier-Stokes problem. (English) Zbl 1484.65294 Appl. Numer. Math. 176, 134-158 (2022). MSC: 65N30 65N15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Elliott, Charles M.; Herbert, Philip J. A formula for membrane mediated point particle interactions on near spherical biomembranes. (English) Zbl 1486.35175 Interfaces Free Bound. 24, No. 1, 1-34 (2022). MSC: 35J35 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mu, Wenjie; Fan, Jianghua Existence results for solutions of mixed tensor variational inequalities. (English) Zbl 1486.90199 J. Glob. Optim. 82, No. 2, 389-412 (2022). MSC: 90C33 90C30 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Jiaping; Zhang, Yuhong Nitsche’s type stabilization for the fully mixed Navier-Stokes/Darcy problem. (English) Zbl 07905183 J. Appl. Anal. Comput. 11, No. 3, 1481-1493 (2021). MSC: 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Elias, Ziad M. Finite elements for Mindlin and Kirchhoff plates based on a mixed variational principle. (English) Zbl 1548.74362 Int. J. Numer. Methods Eng. 122, No. 22, 6680-6713 (2021). MSC: 74K20 65N30 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Kanan, Anas; Kaliske, Michael Finite element modeling of electro-viscoelasticity in fiber reinforced electro-active polymers. (English) Zbl 1548.74208 Int. J. Numer. Methods Eng. 122, No. 8, 2005-2037 (2021). MSC: 74F15 74D10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Pfefferkorn, Robin; Bieber, Simon; Oesterle, Bastian; Bischoff, Manfred; Betsch, Peter Improving efficiency and robustness of enhanced assumed strain elements for nonlinear problems. (English) Zbl 1548.65324 Int. J. Numer. Methods Eng. 122, No. 8, 1911-1939 (2021). MSC: 65N30 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Riesselmann, Johannes; Ketteler, Jonas W.; Schedensack, Mira; Balzani, Daniel Rot-free mixed finite elements for gradient elasticity at finite strains. (English) Zbl 1548.74082 Int. J. Numer. Methods Eng. 122, No. 6, 1602-1628 (2021). MSC: 74B05 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Panagiotopoulos, Christos G.; Tsogka, Chrysoula A mixed finite element-based numerical method for elastodynamics considering adhesive interface damage for dynamic fracture. (English) Zbl 1533.74081 J. Theor. Comput. Acoust. 29, No. 2, Article ID 2150010, 30 p. (2021). MSC: 74S05 65M60 74A50 74R10 × Cite Format Result Cite Review PDF Full Text: DOI
Camaño, Jessika; García, Carlos; Oyarzúa, Ricardo Analysis of a momentum conservative mixed-FEM for the stationary Navier-Stokes problem. (English) Zbl 07776178 Numer. Methods Partial Differ. Equations 37, No. 5, 2895-2923 (2021). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Daversin-Catty, Cécile; Richardson, Chris N.; Ellingsrud, Ada J.; Rognes, Marie E. Abstractions and automated algorithms for mixed domain finite element methods. (English) Zbl 1486.65244 ACM Trans. Math. Softw. 47, No. 4, Article No. 31, 36 p. (2021). MSC: 65N30 65N22 65Y15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lukáš, Dalibor; Schöberl, Joachim Dispersion analysis of displacement-based and TDNNS mixed finite elements for thin-walled elastodynamics. (English) Zbl 1540.74141 Math. Comput. Simul. 189, 325-338 (2021). MSC: 74S05 65N30 74B05 × Cite Format Result Cite Review PDF Full Text: DOI
Egger, H.; Sabouri, M. On the structure preserving high-order approximation of quasistatic poroelasticity. (English) Zbl 1540.74042 Math. Comput. Simul. 189, 237-252 (2021). MSC: 74F10 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Duan, Huoyuan; Ma, Junhua; Zou, Jun Mixed finite element method with Gauss’s law enforced for the Maxwell eigenproblem. (English) Zbl 1477.65209 SIAM J. Sci. Comput. 43, No. 6, A3677-A3712 (2021). MSC: 65N30 65N25 65N50 78M10 × Cite Format Result Cite Review PDF Full Text: DOI
Fernandes, Jeferson Wilian Dossa; Sanches, Rodolfo André Kuche; Barbarulo, Andrea A stabilized mixed space-time proper generalized decomposition for the Navier-Stokes equations. (English) Zbl 1507.76101 Comput. Methods Appl. Mech. Eng. 386, Article ID 114102, 22 p. (2021). MSC: 76M10 65Z05 76M22 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Barnafi, Nicolás; Gatica, Gabriel N.; Hurtado, Daniel E.; Miranda, Willian; Ruiz-Baier, Ricardo New primal and dual-mixed finite element methods for stable image registration with singular regularization. (English) Zbl 1538.65492 Math. Models Methods Appl. Sci. 31, No. 5, 979-1020 (2021). MSC: 65N30 65N12 65N15 68U10 74B05 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Duran, Omar; Devloo, Philippe R. B.; Gomes, Sônia M.; Villegas, Jose A multiscale mixed finite element method applied to the simulation of two-phase flows. (English) Zbl 1506.76072 Comput. Methods Appl. Mech. Eng. 383, Article ID 113870, 23 p. (2021). MSC: 76M10 65M60 76Txx × Cite Format Result Cite Review PDF Full Text: DOI HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI
Mang, Katrin; Walloth, Mirjam; Wick, Thomas; Wollner, Winnifried Adaptive numerical simulation of a phase-field fracture model in mixed form tested on an L-shaped specimen with high Poisson ratios. (English) Zbl 1475.74111 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 1185-1193 (2021). MSC: 74R10 65M60 65M50 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schneck, Jakob; Weiser, Martin; Wende, Florian Impact of mixed precision and storage layout on additive Schwarz smoothers. (English) Zbl 1549.65530 Numer. Linear Algebra Appl. 28, No. 4, e2366, 22 p. (2021). MSC: 65N55 65N30 65F08 65F50 65F35 65Y10 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Cejas, María E.; Durán, Ricardo G.; Prieto, Mariana I. Mixed methods for degenerate elliptic problems and application to fractional Laplacian. (English) Zbl 1477.65200 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 993-1019 (2021). MSC: 65N30 35J70 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mehdizadeh, Delaram; Eskandari-Ghadi, Morteza; Rahimian, Mohammad A 3D BEM-FEM approach using layered transversely isotropic half-space Green’s functions in the frequency domain for SSI analyses. (English) Zbl 1521.74341 Eng. Anal. Bound. Elem. 132, 94-109 (2021). MSC: 74S15 65N38 74S05 65N30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Armentano, María Gabriela; Stockdale, María Lorena Approximations by MINI mixed finite element for the Stokes-Darcy coupled problem on curved domains. (English) Zbl 1471.74067 Int. J. Numer. Anal. Model. 18, No. 2, 203-234 (2021). MSC: 74S05 65N12 65N15 65N30 74F10 × Cite Format Result Cite Review PDF Full Text: Link
Zhang, Tong; Duan, Mengmeng Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 1476.65262 Numer. Algorithms 87, No. 3, 1201-1228 (2021). MSC: 65M60 65M06 65N30 65D32 65M15 65M12 76A10 76D05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Lavrenčič, Marko; Brank, Boštjan Energy-decaying and momentum-conserving schemes for transient simulations with mixed finite elements. (English) Zbl 1506.70017 Comput. Methods Appl. Mech. Eng. 375, Article ID 113625, 34 p. (2021). MSC: 70G75 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Rossi, R.; Zorrilla, R.; Codina, R. A stabilised displacement-volumetric strain formulation for nearly incompressible and anisotropic materials. (English) Zbl 1506.74079 Comput. Methods Appl. Mech. Eng. 377, Article ID 113701, 26 p. (2021). MSC: 74E10 74S05 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Rosales, Rodolfo Ruben; Seibold, Benjamin; Shirokoff, David; Zhou, Dong High-order finite element methods for a pressure Poisson equation reformulation of the Navier-Stokes equations with electric boundary conditions. (English) Zbl 1506.76098 Comput. Methods Appl. Mech. Eng. 373, Article ID 113451, 28 p. (2021). MSC: 76M10 65M60 65L06 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lamichhane, Bishnu P.; Shaw-Carmody, Jordan A. A local projection stabilisation finite element method for the Stokes equations using biorthogonal systems. (English) Zbl 1468.65197 J. Comput. Appl. Math. 393, Article ID 113542, 12 p. (2021). MSC: 65N30 65N15 65N12 76D07 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, David Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems. (English) Zbl 1524.65562 Comput. Math. Appl. 89, 68-77 (2021). MSC: 65M60 65N30 76M10 86A05 86A10 65M70 76B15 76M20 65N35 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belhachmi, Zakaria; Mghazli, Zoubida; Ouchtout, Salih Mathematical modelling and numerical approximation of a leachate flow in the anaerobic biodegradation of waste in a landfill. (English) Zbl 1540.92058 Math. Comput. Simul. 185, 174-193 (2021). MSC: 92C45 92-10 35Q92 37N25 × Cite Format Result Cite Review PDF Full Text: DOI HAL