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 PDF BibTeX XML Cite \textit{S. Korotov} and \textit{M. Křížek}, J. Comput. Appl. Math. 438, Article ID 115537, 7 p. (2024; Zbl 07756751) Full Text: DOI
Poya, Roman; Ortigosa, Rogelio; Gil, Antonio J. Variational schemes and mixed finite elements for large strain isotropic elasticity in principal stretches: closed-form tangent eigensystems, convexity conditions, and stabilised elasticity. (English) Zbl 07772276 Int. J. Numer. Methods Eng. 124, No. 16, 3436-3493 (2023). MSC: 74Sxx 74Bxx 65Nxx PDF BibTeX XML Cite \textit{R. Poya} et al., Int. J. Numer. Methods Eng. 124, No. 16, 3436--3493 (2023; Zbl 07772276) 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 07771807 Calcolo 60, No. 4, Paper No. 51, 32 p. (2023). MSC: 65N30 65N12 65N15 76S05 76R05 76D07 76R05 35A01 35A02 35B20 47H10 35Q35 PDF BibTeX XML Cite \textit{S. Caucao} et al., Calcolo 60, No. 4, Paper No. 51, 32 p. (2023; Zbl 07771807) 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 PDF BibTeX XML Cite \textit{O. Colomés} et al., Int. J. Numer. Methods Eng. 124, No. 3, 714--751 (2023; Zbl 07769181) Full Text: DOI arXiv OA License
Pfefferkorn, Robin; Betsch, Peter Hourglassing- and locking-free mesh distortion insensitive Petrov-Galerkin EAS element for large deformation solid mechanics. (English) Zbl 07769158 Int. J. Numer. Methods Eng. 124, No. 6, 1307-1343 (2023). MSC: 74Sxx 74Kxx 74Bxx PDF BibTeX XML Cite \textit{R. Pfefferkorn} and \textit{P. Betsch}, Int. J. Numer. Methods Eng. 124, No. 6, 1307--1343 (2023; Zbl 07769158) Full Text: DOI OA License
Schenk, Christina; Portillo, David; Romero, Ignacio Linking discrete and continuum diffusion models: well-posedness and stable finite element discretizations. (English) Zbl 07769152 Int. J. Numer. Methods Eng. 124, No. 9, 2105-2121 (2023). MSC: 92Cxx 76Zxx 35Jxx PDF BibTeX XML Cite \textit{C. Schenk} et al., Int. J. Numer. Methods Eng. 124, No. 9, 2105--2121 (2023; Zbl 07769152) Full Text: DOI arXiv
Bertrand, Fleurianne Novel Raviart-Thomas basis functions on anisotropic finite elements. (English) Zbl 07766466 Comput. Methods Appl. Math. 23, No. 4, 831-847 (2023). MSC: 65N30 PDF BibTeX XML Cite \textit{F. Bertrand}, Comput. Methods Appl. Math. 23, No. 4, 831--847 (2023; Zbl 07766466) 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 PDF BibTeX XML Cite \textit{J. Careaga} and \textit{G. N. Gatica}, ESAIM, Math. Model. Numer. Anal. 57, No. 4, 2529--2556 (2023; Zbl 1522.35397) 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 PDF BibTeX XML Cite \textit{H. Egger} et al., IMA J. Numer. Anal. 43, No. 4, 2137--2168 (2023; Zbl 07726058) 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 PDF BibTeX XML Cite \textit{J. Yang} and \textit{V. H. Hoang}, Pure Appl. Funct. Anal. 8, No. 2, 713--750 (2023; Zbl 1514.65158) Full Text: Link
Alvarez, María Luz; Durán, Ricardo G. A posteriori error estimates for mixed approximations of degenerate elliptic problems. (English) Zbl 07705785 Appl. Numer. Math. 188, 146-159 (2023). MSC: 65Nxx 35Jxx 35Bxx PDF BibTeX XML Cite \textit{M. L. Alvarez} and \textit{R. G. Durán}, Appl. Numer. Math. 188, 146--159 (2023; Zbl 07705785) 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 07703998 Comput. Math. Appl. 143, 397-416 (2023). MSC: 76-XX 35-XX PDF BibTeX XML Cite \textit{V. Anaya} et al., Comput. Math. Appl. 143, 397--416 (2023; Zbl 07703998) 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 PDF BibTeX XML Cite \textit{S. R. Basava} and \textit{W. Wollner}, J. Sci. Comput. 95, No. 3, Paper No. 93, 20 p. (2023; Zbl 1516.65122) 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 PDF BibTeX XML Cite \textit{J. Gopalakrishnan} et al., J. Sci. Comput. 95, No. 3, Paper No. 91, 25 p. (2023; Zbl 07698951) Full Text: DOI arXiv
Liao, Yulei; Ming, Pingbing; Xu, Yun Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems. (English) Zbl 07698899 J. Sci. Comput. 95, No. 1, Paper No. 4, 31 p. (2023). MSC: 65N15 65N30 74K20 PDF BibTeX XML Cite \textit{Y. Liao} et al., J. Sci. Comput. 95, No. 1, Paper No. 4, 31 p. (2023; Zbl 07698899) 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 07695666 SIAM J. Numer. Anal. 61, No. 3, 1449-1481 (2023). MSC: 92C50 PDF BibTeX XML Cite \textit{B. Gómez-Vargas} et al., SIAM J. Numer. Anal. 61, No. 3, 1449--1481 (2023; Zbl 07695666) 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 07679124 SIAM J. Numer. Anal. 61, No. 2, 675-706 (2023). MSC: 65M12 65M22 65M55 65M60 65F08 PDF BibTeX XML Cite \textit{M. Jayadharan} et al., SIAM J. Numer. Anal. 61, No. 2, 675--706 (2023; Zbl 07679124) Full Text: DOI arXiv
Kosin, V.; Beuchler, S.; Wick, T. A new mixed method for the biharmonic eigenvalue problem. (English) Zbl 07674309 Comput. Math. Appl. 136, 44-53 (2023). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{V. Kosin} et al., Comput. Math. Appl. 136, 44--53 (2023; Zbl 07674309) 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 PDF BibTeX XML Cite \textit{S. Meddahi} and \textit{R. Ruiz-Baier}, SIAM J. Sci. Comput. 45, No. 1, B27--B56 (2023; Zbl 1516.65093) Full Text: DOI arXiv
Sauren, Bjorn; Klarmann, Simon; Kobbelt, Leif; Klinkel, Sven A mixed polygonal finite element formulation for nearly-incompressible finite elasticity. (English) Zbl 07644154 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115656, 24 p. (2023). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{B. Sauren} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115656, 24 p. (2023; Zbl 07644154) 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 PDF BibTeX XML Cite \textit{E. Abreu} et al., J. Comput. Phys. 473, Article ID 111681, 21 p. (2023; Zbl 07625379) Full Text: DOI arXiv
Tber, Moulay Hicham A semi-Lagrangian mixed finite element method for advection-diffusion variational inequalities. (English) Zbl 07619057 Math. Comput. Simul. 204, 202-215 (2023). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{M. H. Tber}, Math. Comput. Simul. 204, 202--215 (2023; Zbl 07619057) Full Text: DOI
Nagler, Michaela; Pechstein, Astrid; Humer, Alexander A mixed finite element formulation for elastoplasticity. (English) Zbl 07769278 Int. J. Numer. Methods Eng. 123, No. 21, 5346-5368 (2022). MSC: 74Sxx 74Cxx 74Fxx PDF BibTeX XML Cite \textit{M. Nagler} et al., Int. J. Numer. Methods Eng. 123, No. 21, 5346--5368 (2022; Zbl 07769278) Full Text: DOI OA License
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 PDF BibTeX XML Cite \textit{S. Das} et al., Comput. Phys. Commun. 280, Article ID 108473, 29 p. (2022; Zbl 07682148) 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: 74-XX 92-XX PDF BibTeX XML Cite \textit{J. Petrolito} and \textit{D. Ionescu}, Int. J. Comput. Methods 19, No. 6, Article ID 2141009, 21 p. (2022; Zbl 07633861) Full Text: DOI
Lederer, Philip L.; Merdon, Christian Guaranteed upper bounds for the velocity error of pressure-robust Stokes discretisations. (English) Zbl 07632529 J. Numer. Math. 30, No. 4, 267-294 (2022). MSC: 65Nxx PDF BibTeX XML Cite \textit{P. L. Lederer} and \textit{C. Merdon}, J. Numer. Math. 30, No. 4, 267--294 (2022; Zbl 07632529) 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 PDF BibTeX XML Cite \textit{S. Caucao} et al., Calcolo 59, No. 4, Paper No. 45, 40 p. (2022; Zbl 1502.65190) Full Text: DOI
Camaño, Jessika; García, Carlos; Oyarzúa, Ricardo Analysis of a new mixed FEM for stationary incompressible magneto-hydrodynamics. (English) Zbl 07625590 Comput. Math. Appl. 127, 65-79 (2022). MSC: 65N30 76M10 76W05 35Q35 65N15 65N12 41A25 PDF BibTeX XML Cite \textit{J. Camaño} et al., Comput. Math. Appl. 127, 65--79 (2022; Zbl 07625590) 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 PDF BibTeX XML Cite \textit{R. Ortigosa} et al., Comput. Methods Appl. Mech. Eng. 401, Part B, Article ID 115604, 34 p. (2022; Zbl 1507.74147) 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 PDF BibTeX XML Cite \textit{S. Meddahi} and \textit{R. Ruiz-Baier}, Netw. Heterog. Media 17, No. 6, 893--916 (2022; Zbl 1497.65231) 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 PDF BibTeX XML Cite \textit{X. Long} and \textit{Q. Ding}, Appl. Numer. Math. 182, 176--195 (2022; Zbl 1500.65064) 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 PDF BibTeX XML Cite \textit{S. Slimani} et al., Numer. Algorithms 91, No. 2, 651--669 (2022; Zbl 1502.65215) 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 PDF BibTeX XML Cite \textit{B. Zhang} et al., J. Comput. Math. 40, No. 6, 869--885 (2022; Zbl 1513.65473) 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 PDF BibTeX XML Cite \textit{W. M. Boon} et al., J. Comput. Phys. 467, Article ID 111464, 25 p. (2022; Zbl 07568560) 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 PDF BibTeX XML Cite \textit{S. Zech} et al., J. Math. Anal. Appl. 515, No. 2, Article ID 126384, 25 p. (2022; Zbl 1502.65152) 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 PDF BibTeX XML Cite \textit{M. Ainsworth} and \textit{C. Parker}, SIAM J. Numer. Anal. 60, No. 3, 1574--1606 (2022; Zbl 1492.65296) 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 PDF BibTeX XML Cite \textit{A. Márquez} and \textit{S. Meddahi}, J. Numer. Math. 30, No. 1, 43--62 (2022; Zbl 1490.65283) 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 PDF BibTeX XML Cite \textit{B. García-Archilla} et al., J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022; Zbl 1486.65167) 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 PDF BibTeX XML Cite \textit{M. Meindlhumer} et al., Acta Mech. 233, No. 5, 1967--1986 (2022; Zbl 1493.65221) 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 PDF BibTeX XML Cite \textit{S. Averweg} et al., Comput. Methods Appl. Mech. Eng. 392, Article ID 114668, 19 p. (2022; Zbl 1507.76005) 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 PDF BibTeX XML Cite \textit{S. Meddahi}, S\(\vec{\text{e}}\)MA J. 79, No. 1, 139--164 (2022; Zbl 1484.65289) 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 PDF BibTeX XML Cite \textit{F. Benkhaldoun} and \textit{A. Bradji}, Lect. Notes Comput. Sci. 13127, 489--497 (2022; Zbl 1489.65137) 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 PDF BibTeX XML Cite \textit{T. Arbogast} et al., Numer. Math. 150, No. 4, 929--974 (2022; Zbl 1486.65239) 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 PDF BibTeX XML Cite \textit{J. Camaño} et al., Appl. Numer. Math. 176, 134--158 (2022; Zbl 1484.65294) 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 PDF BibTeX XML Cite \textit{C. M. Elliott} and \textit{P. J. Herbert}, Interfaces Free Bound. 24, No. 1, 1--34 (2022; Zbl 1486.35175) 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 PDF BibTeX XML Cite \textit{W. Mu} and \textit{J. Fan}, J. Glob. Optim. 82, No. 2, 389--412 (2022; Zbl 1486.90199) 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 PDF BibTeX XML Cite \textit{C. Daversin-Catty} et al., ACM Trans. Math. Softw. 47, No. 4, Article No. 31, 36 p. (2021; Zbl 1486.65244) 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 PDF BibTeX XML Cite \textit{M. Jayadharan} et al., Comput. Geosci. 25, No. 6, 1919--1938 (2021; Zbl 1477.65159) Full Text: DOI arXiv
Lukáš, Dalibor; Schöberl, Joachim Dispersion analysis of displacement-based and TDNNS mixed finite elements for thin-walled elastodynamics. (English) Zbl 07431493 Math. Comput. Simul. 189, 325-338 (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{D. Lukáš} and \textit{J. Schöberl}, Math. Comput. Simul. 189, 325--338 (2021; Zbl 07431493) Full Text: DOI
Egger, H.; Sabouri, M. On the structure preserving high-order approximation of quasistatic poroelasticity. (English) Zbl 07431488 Math. Comput. Simul. 189, 237-252 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{H. Egger} and \textit{M. Sabouri}, Math. Comput. Simul. 189, 237--252 (2021; Zbl 07431488) 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 PDF BibTeX XML Cite \textit{H. Duan} et al., SIAM J. Sci. Comput. 43, No. 6, A3677--A3712 (2021; Zbl 1477.65209) 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 PDF BibTeX XML Cite \textit{J. W. D. Fernandes} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114102, 22 p. (2021; Zbl 1507.76101) Full Text: DOI
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 07423813 Math. Models Methods Appl. Sci. 31, No. 5, 979-1020 (2021). MSC: 65D18 65N30 65N15 74B05 PDF BibTeX XML Cite \textit{N. Barnafi} et al., Math. Models Methods Appl. Sci. 31, No. 5, 979--1020 (2021; Zbl 07423813) 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 PDF BibTeX XML Cite \textit{O. Duran} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113870, 23 p. (2021; Zbl 1506.76072) 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 PDF BibTeX XML Cite \textit{P. R. B. Devloo} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1005--1037 (2021; Zbl 1491.65132) 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 PDF BibTeX XML Cite \textit{K. Mang} et al., Lect. Notes Comput. Sci. Eng. 139, 1185--1193 (2021; Zbl 1475.74111) Full Text: DOI arXiv
Schneck, Jakob; Weiser, Martin; Wende, Florian Impact of mixed precision and storage layout on additive Schwarz smoothers. (English) Zbl 07396249 Numer. Linear Algebra Appl. 28, No. 4, e2366, 22 p. (2021). MSC: 65N55 65Y10 65Y20 PDF BibTeX XML Cite \textit{J. Schneck} et al., Numer. Linear Algebra Appl. 28, No. 4, e2366, 22 p. (2021; Zbl 07396249) 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 PDF BibTeX XML Cite \textit{M. E. Cejas} et al., ESAIM, Math. Model. Numer. Anal. 55, 993--1019 (2021; Zbl 1477.65200) 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 PDF BibTeX XML Cite \textit{D. Mehdizadeh} et al., Eng. Anal. Bound. Elem. 132, 94--109 (2021; Zbl 1521.74341) 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 PDF BibTeX XML Cite \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
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 PDF BibTeX XML Cite \textit{M. G. Armentano} and \textit{M. L. Stockdale}, Int. J. Numer. Anal. Model. 18, No. 2, 203--234 (2021; Zbl 1471.74067) 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 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{M. Duan}, Numer. Algorithms 87, No. 3, 1201--1228 (2021; Zbl 1476.65262) 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 PDF BibTeX XML Cite \textit{M. Lavrenčič} and \textit{B. Brank}, Comput. Methods Appl. Mech. Eng. 375, Article ID 113625, 34 p. (2021; Zbl 1506.70017) 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 PDF BibTeX XML Cite \textit{R. Rossi} et al., Comput. Methods Appl. Mech. Eng. 377, Article ID 113701, 26 p. (2021; Zbl 1506.74079) Full Text: DOI
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 PDF BibTeX XML Cite \textit{R. R. Rosales} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113451, 28 p. (2021; Zbl 1506.76098) 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 PDF BibTeX XML Cite \textit{B. P. Lamichhane} and \textit{J. A. Shaw-Carmody}, J. Comput. Appl. Math. 393, Article ID 113542, 12 p. (2021; Zbl 1468.65197) Full Text: DOI
Lee, David Petrov-Galerkin flux upwinding for mixed mimetic spectral elements, and its application to geophysical flow problems. (English) Zbl 07336182 Comput. Math. Appl. 89, 68-77 (2021). MSC: 65M60 65N30 76M10 86A05 86A10 65M70 76B15 76M20 65N35 PDF BibTeX XML Cite \textit{D. Lee}, Comput. Math. Appl. 89, 68--77 (2021; Zbl 07336182) 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 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., Calcolo 58, No. 1, Paper No. 11, 27 p. (2021; Zbl 1468.65190) 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 07331053 Math. Comput. Simul. 185, 174-193 (2021). MSC: 35-XX 92-XX PDF BibTeX XML Cite \textit{Z. Belhachmi} et al., Math. Comput. Simul. 185, 174--193 (2021; Zbl 07331053) Full Text: DOI HAL
Chu, Van Tiep; Hoang, Viet Ha; Lim, Roktaek Sparse tensor product high dimensional finite elements for two-scale mixed problems. (English) Zbl 07327226 Comput. Math. Appl. 85, 42-56 (2021). MSC: 65N30 35B27 74S05 35J25 35Q60 PDF BibTeX XML Cite \textit{V. T. Chu} et al., Comput. Math. Appl. 85, 42--56 (2021; Zbl 07327226) Full Text: DOI
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo A mixed-primal finite element method for the coupling of Brinkman-Darcy flow and nonlinear transport. (English) Zbl 1460.65138 IMA J. Numer. Anal. 41, No. 1, 381-411 (2021). MSC: 65N30 65N12 76D07 76S05 35Q35 35A15 PDF BibTeX XML Cite \textit{M. Alvarez} et al., IMA J. Numer. Anal. 41, No. 1, 381--411 (2021; Zbl 1460.65138) Full Text: DOI
Zimmerman, Alexander G.; Kowalski, Julia Mixed finite elements for convection-coupled phase-change in enthalpy form: open software verified and applied to 2D benchmarks. (English) Zbl 07308029 Comput. Math. Appl. 84, 77-96 (2021). MSC: 76R10 80A22 76M10 76T99 65M60 PDF BibTeX XML Cite \textit{A. G. Zimmerman} and \textit{J. Kowalski}, Comput. Math. Appl. 84, 77--96 (2021; Zbl 07308029) Full Text: DOI arXiv
Motamarri, Phani; Das, Sambit; Rudraraju, Shiva; Ghosh, Krishnendu; Davydov, Denis; Gavini, Vikram DFT-FE - a massively parallel adaptive finite-element code for large-scale density functional theory calculations. (English) Zbl 07678420 Comput. Phys. Commun. 246, Article ID 106853, 32 p. (2020). MSC: 92-XX 94-XX PDF BibTeX XML Cite \textit{P. Motamarri} et al., Comput. Phys. Commun. 246, Article ID 106853, 32 p. (2020; Zbl 07678420) Full Text: DOI arXiv
Mang, Katrin; Wick, Thomas; Wollner, Winnifried A phase-field model for fractures in nearly incompressible solids. (English) Zbl 1477.65233 Comput. Mech. 65, No. 1, 61-78 (2020). MSC: 65N30 65N12 65N50 65K10 35Q74 74R10 74F10 PDF BibTeX XML Cite \textit{K. Mang} et al., Comput. Mech. 65, No. 1, 61--78 (2020; Zbl 1477.65233) Full Text: DOI arXiv
Averweg, Solveigh; Schwarz, Alexander; Nisters, Carina; Schröder, Jörg Implicit time discretization schemes for mixed least-squares finite element formulations. (English) Zbl 1506.74386 Comput. Methods Appl. Mech. Eng. 368, Article ID 113111, 22 p. (2020). MSC: 74S05 76M10 65M60 74F10 76D05 PDF BibTeX XML Cite \textit{S. Averweg} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113111, 22 p. (2020; Zbl 1506.74386) Full Text: DOI
Ambartsumyan, Ilona; Khattatov, Eldar; Yotov, Ivan A coupled multipoint stress-multipoint flux mixed finite element method for the Biot system of poroelasticity. (English) Zbl 1506.74385 Comput. Methods Appl. Mech. Eng. 372, Article ID 113407, 29 p. (2020). MSC: 74S05 76M10 65M60 74F10 76S05 PDF BibTeX XML Cite \textit{I. Ambartsumyan} et al., Comput. Methods Appl. Mech. Eng. 372, Article ID 113407, 29 p. (2020; Zbl 1506.74385) Full Text: DOI arXiv
Carvalho, Pablo G. S.; Devloo, Philippe R. B.; Gomes, Sônia M. On the use of divergence balanced \(\mathbf{H}(\operatorname{div})\)-\(L^2\) pair of approximation spaces for divergence-free and robust simulations of Stokes, coupled Stokes-Darcy and Brinkman problems. (English) Zbl 1510.76083 Math. Comput. Simul. 170, 51-78 (2020). MSC: 76M10 65M30 PDF BibTeX XML Cite \textit{P. G. S. Carvalho} et al., Math. Comput. Simul. 170, 51--78 (2020; Zbl 1510.76083) Full Text: DOI
Chibani, Alima; Kechkar, Nasserdine Minimal locally stabilized \(Q1\)-\(Q0\) schemes for the generalized Stokes problem. (English) Zbl 1456.65157 J. Korean Math. Soc. 57, No. 5, 1239-1266 (2020). MSC: 65N30 65N12 65N15 76D07 76M10 PDF BibTeX XML Cite \textit{A. Chibani} and \textit{N. Kechkar}, J. Korean Math. Soc. 57, No. 5, 1239--1266 (2020; Zbl 1456.65157) Full Text: DOI
García-Archilla, Bosco; Novo, Julia Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. (English) Zbl 1454.65115 Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020). MSC: 65M60 65M06 65N30 65M70 65M20 65L06 65M12 65M15 76D05 35Q30 PDF BibTeX XML Cite \textit{B. García-Archilla} and \textit{J. Novo}, Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020; Zbl 1454.65115) Full Text: DOI arXiv
Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. (English) Zbl 1451.74204 Comput. Math. Appl. 80, No. 8, 1964-1984 (2020). MSC: 74S05 74S20 74F10 74F05 76S05 76R10 65M12 PDF BibTeX XML Cite \textit{M. K. Brun} et al., Comput. Math. Appl. 80, No. 8, 1964--1984 (2020; Zbl 1451.74204) Full Text: DOI arXiv
Linke, Alexander; Merdon, Christian; Neilan, Michael Pressure-robustness in quasi-optimal a priori estimates for the Stokes problem. (English) Zbl 1446.65146 ETNA, Electron. Trans. Numer. Anal. 52, 281-294 (2020). MSC: 65N12 65N30 76D07 PDF BibTeX XML Cite \textit{A. Linke} et al., ETNA, Electron. Trans. Numer. Anal. 52, 281--294 (2020; Zbl 1446.65146) Full Text: DOI arXiv Link
Oyarzúa, Ricardo; Serón, Miguel A divergence-conforming DG-mixed finite element method for the stationary Boussinesq problem. (English) Zbl 1450.65149 J. Sci. Comput. 85, No. 1, Paper No. 14, 35 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N12 65N15 35Q79 35K05 76R05 76D07 80A19 PDF BibTeX XML Cite \textit{R. Oyarzúa} and \textit{M. Serón}, J. Sci. Comput. 85, No. 1, Paper No. 14, 35 p. (2020; Zbl 1450.65149) Full Text: DOI
de Siqueira, Denise; Farias, Agnaldo M.; Devloo, Phillipe R. B.; Gomes, Sônia M. Mixed finite element approximations of a singular elliptic problem based on some anisotropic and \(hp\)-adaptive curved quarter-point elements. (English) Zbl 1448.35112 Appl. Numer. Math. 158, 85-102 (2020). MSC: 35J05 35J25 65N30 PDF BibTeX XML Cite \textit{D. de Siqueira} et al., Appl. Numer. Math. 158, 85--102 (2020; Zbl 1448.35112) Full Text: DOI
Correa, Maicon R.; Rodriguez, Juan C.; Farias, Agnaldo M.; de Siqueira, Denise; Devloo, Philippe R. B. Hierarchical high order finite element spaces in \(H(\operatorname{div},\Omega)\times H^1(\Omega)\) for a stabilized mixed formulation of Darcy problem. (English) Zbl 1447.65132 Comput. Math. Appl. 80, No. 5, 1117-1141 (2020). MSC: 65N30 65N12 76S05 76M10 35Q35 PDF BibTeX XML Cite \textit{M. R. Correa} et al., Comput. Math. Appl. 80, No. 5, 1117--1141 (2020; Zbl 1447.65132) Full Text: DOI
Duran, Omar; Sanei, Manouchehr; Devloo, Philippe R. B.; Santos, Erick S. R. An enhanced sequential fully implicit scheme for reservoir geomechanics. (English) Zbl 1439.86039 Comput. Geosci. 24, No. 4, 1557-1587 (2020). MSC: 86A60 65M60 76S05 PDF BibTeX XML Cite \textit{O. Duran} et al., Comput. Geosci. 24, No. 4, 1557--1587 (2020; Zbl 1439.86039) Full Text: DOI HAL
Cervera, Miguel; Barbat, G. B.; Chiumenti, M. Architecture of a multi-crack model with full closing, reopening and sliding capabilities. (English) Zbl 1464.74165 Comput. Mech. 65, No. 6, 1593-1620 (2020). MSC: 74S05 74R10 74E10 PDF BibTeX XML Cite \textit{M. Cervera} et al., Comput. Mech. 65, No. 6, 1593--1620 (2020; Zbl 1464.74165) Full Text: DOI Link
Egger, Herbert; Radu, Bogdan On a second-order multipoint flux mixed finite element methods on hybrid meshes. (English) Zbl 1447.65136 SIAM J. Numer. Anal. 58, No. 3, 1822-1844 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N12 35F45 76S05 76M10 35Q35 PDF BibTeX XML Cite \textit{H. Egger} and \textit{B. Radu}, SIAM J. Numer. Anal. 58, No. 3, 1822--1844 (2020; Zbl 1447.65136) Full Text: DOI arXiv
Egger, H.; Radu, B. A mass-lumped mixed finite element method for acoustic wave propagation. (English) Zbl 1450.65120 Numer. Math. 145, No. 2, 239-269 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65M12 35L05 35L50 65L20 76Q05 PDF BibTeX XML Cite \textit{H. Egger} and \textit{B. Radu}, Numer. Math. 145, No. 2, 239--269 (2020; Zbl 1450.65120) Full Text: DOI arXiv
Kumar, Sarvesh; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo; Sandilya, Ruchi Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity. (English) Zbl 1511.65114 ESAIM, Math. Model. Numer. Anal. 54, No. 1, 273-299 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N30 76S05 74F10 65N15 65N12 76M12 76M10 74S10 74S05 PDF BibTeX XML Cite \textit{S. Kumar} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 1, 273--299 (2020; Zbl 1511.65114) Full Text: DOI Link
Braess, Dietrich; Pechstein, Astrid S.; Schöberl, Joachim An equilibration-based a posteriori error bound for the biharmonic equation and two finite element methods. (English) Zbl 1464.65171 IMA J. Numer. Anal. 40, No. 2, 951-975 (2020). MSC: 65N30 PDF BibTeX XML Cite \textit{D. Braess} et al., IMA J. Numer. Anal. 40, No. 2, 951--975 (2020; Zbl 1464.65171) Full Text: DOI arXiv
Gopalakrishnan, Jay; Lederer, Philip L.; Schöberl, Joachim A mass conserving mixed stress formulation for Stokes flow with weakly imposed stress symmetry. (English) Zbl 1439.35368 SIAM J. Numer. Anal. 58, No. 1, 706-732 (2020). MSC: 35Q30 65N12 65N22 65N30 76D07 76M10 PDF BibTeX XML Cite \textit{J. Gopalakrishnan} et al., SIAM J. Numer. Anal. 58, No. 1, 706--732 (2020; Zbl 1439.35368) Full Text: DOI arXiv
Durango, Francisco; Novo, Julia Generalized postprocessed approximations to the Navier-Stokes equations based on two grids. (English) Zbl 1431.76088 J. Comput. Appl. Math. 368, Article ID 112516, 18 p. (2020). MSC: 76M10 76D05 65M60 PDF BibTeX XML Cite \textit{F. Durango} and \textit{J. Novo}, J. Comput. Appl. Math. 368, Article ID 112516, 18 p. (2020; Zbl 1431.76088) Full Text: DOI
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. (English) Zbl 1448.65157 SIAM J. Numer. Anal. 58, No. 1, 410-429 (2020). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 65M60 65M12 35Q30 65M15 65M20 76B75 65N30 65M70 PDF BibTeX XML Cite \textit{B. García-Archilla} et al., SIAM J. Numer. Anal. 58, No. 1, 410--429 (2020; Zbl 1448.65157) Full Text: DOI arXiv
Eldred, Christopher; Dubos, Thomas; Kritsikis, Evaggelos A quasi-Hamiltonian discretization of the thermal shallow water equations. (English) Zbl 07581561 J. Comput. Phys. 379, 1-31 (2019). MSC: 65Mxx 86Axx 65Nxx PDF BibTeX XML Cite \textit{C. Eldred} et al., J. Comput. Phys. 379, 1--31 (2019; Zbl 07581561) Full Text: DOI
Poya, Roman; Gil, Antonio J.; Ortigosa, Rogelio; Palma, Roberto On a family of numerical models for couple stress based flexoelectricity for continua and beams. (English) Zbl 1474.74070 J. Mech. Phys. Solids 125, 613-652 (2019). MSC: 74K10 74F15 PDF BibTeX XML Cite \textit{R. Poya} et al., J. Mech. Phys. Solids 125, 613--652 (2019; Zbl 1474.74070) Full Text: DOI Link
Acosta, Gabriel; Borthagaray, Juan Pablo; Heuer, Norbert Finite element approximations of the nonhomogeneous fractional Dirichlet problem. (English) Zbl 1466.65173 IMA J. Numer. Anal. 39, No. 3, 1471-1501 (2019). MSC: 65N30 65N12 65N15 65N50 35B65 PDF BibTeX XML Cite \textit{G. Acosta} et al., IMA J. Numer. Anal. 39, No. 3, 1471--1501 (2019; Zbl 1466.65173) Full Text: DOI arXiv Link
Linke, Alexander; Rebholz, Leo G. Pressure-induced locking in mixed methods for time-dependent (Navier-)Stokes equations. (English) Zbl 1452.76092 J. Comput. Phys. 388, 350-356 (2019). MSC: 76M10 65M60 76D05 76D07 65M15 PDF BibTeX XML Cite \textit{A. Linke} and \textit{L. G. Rebholz}, J. Comput. Phys. 388, 350--356 (2019; Zbl 1452.76092) Full Text: DOI arXiv
Eldred, Christopher; Le Roux, Daniel Y. Dispersion analysis of compatible Galerkin schemes on quadrilaterals for shallow water models. (English) Zbl 1452.86006 J. Comput. Phys. 387, 539-568 (2019). MSC: 86A05 65M60 65F15 86-08 PDF BibTeX XML Cite \textit{C. Eldred} and \textit{D. Y. Le Roux}, J. Comput. Phys. 387, 539--568 (2019; Zbl 1452.86006) Full Text: DOI HAL
Armentano, María Gabriela; Stockdale, María Lorena A unified mixed finite element approximations of the Stokes-Darcy coupled problem. (English) Zbl 1442.65343 Comput. Math. Appl. 77, No. 9, 2568-2584 (2019). MSC: 65N30 65N12 76S05 PDF BibTeX XML Cite \textit{M. G. Armentano} and \textit{M. L. Stockdale}, Comput. Math. Appl. 77, No. 9, 2568--2584 (2019; Zbl 1442.65343) Full Text: DOI
Devloo, Philippe R. B.; Farias, Agnaldo M.; Gomes, Sônia M. A remark concerning divergence accuracy order for \(\mathbf H(\operatorname{div})\)-conforming finite element flux approximations. (English) Zbl 1442.65361 Comput. Math. Appl. 77, No. 7, 1864-1872 (2019). MSC: 65N30 65N12 76S05 PDF BibTeX XML Cite \textit{P. R. B. Devloo} et al., Comput. Math. Appl. 77, No. 7, 1864--1872 (2019; Zbl 1442.65361) Full Text: DOI arXiv