Li, Yuejie; Luo, Zhendong; Liu, Changan A precision preserving Crank-Nicolson mixed finite element lowering dimension method for the unsteady conduction-convection problem. (English) Zbl 07686662 J. Math. Anal. Appl. 525, No. 2, Article ID 127146, 17 p. (2023). MSC: 65Mxx 65Nxx 35Qxx PDF BibTeX XML Cite \textit{Y. Li} et al., J. Math. Anal. Appl. 525, No. 2, Article ID 127146, 17 p. (2023; Zbl 07686662) Full Text: DOI OpenURL
Dang, Haikun; Wang, Yifan; Xie, Hehu; Zhou, Chenguang Enhanced error estimates for augmented subspace method. (English) Zbl 07682841 J. Sci. Comput. 94, No. 2, Paper No. 40, 24 p. (2023). Reviewer: Marius Ghergu (Dublin) MSC: 65N25 65N30 65N55 65L15 65N12 65N15 65Y05 PDF BibTeX XML Cite \textit{H. Dang} et al., J. Sci. Comput. 94, No. 2, Paper No. 40, 24 p. (2023; Zbl 07682841) Full Text: DOI arXiv OpenURL
Carstensen, Carsten; Puttkammer, Sophie Direct guaranteed lower eigenvalue bounds with optimal a priori convergence rates for the bi-Laplacian. (English) Zbl 07679129 SIAM J. Numer. Anal. 61, No. 2, 812-836 (2023). MSC: 65N25 65N30 65N15 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{S. Puttkammer}, SIAM J. Numer. Anal. 61, No. 2, 812--836 (2023; Zbl 07679129) Full Text: DOI arXiv OpenURL
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 OpenURL
Zhao, Lina; Sun, Shuyu A strongly mass conservative method for the coupled Brinkman-Darcy flow and transport. (English) Zbl 07676554 SIAM J. Sci. Comput. 45, No. 2, B166-B199 (2023). MSC: 65M12 65M60 65N30 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{S. Sun}, SIAM J. Sci. Comput. 45, No. 2, B166--B199 (2023; Zbl 07676554) Full Text: DOI arXiv OpenURL
Cohen, Albert; Migliorati, Giovanni Near-optimal approximation methods for elliptic PDEs with lognormal coefficients. (English) Zbl 07673299 Math. Comput. 92, No. 342, 1665-1691 (2023). MSC: 65C30 65N75 60G60 PDF BibTeX XML Cite \textit{A. Cohen} and \textit{G. Migliorati}, Math. Comput. 92, No. 342, 1665--1691 (2023; Zbl 07673299) Full Text: DOI arXiv OpenURL
Garg, Divay; Porwal, Kamana Mixed finite element method for a second order Dirichlet boundary control problem. (English) Zbl 07667334 Comput. Math. Appl. 135, 31-59 (2023). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{D. Garg} and \textit{K. Porwal}, Comput. Math. Appl. 135, 31--59 (2023; Zbl 07667334) Full Text: DOI arXiv OpenURL
Gong, Wei; Liang, Dongdong; Xie, Xiaoping Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains. (English) Zbl 07667231 Adv. Comput. Math. 49, No. 2, Paper No. 15, 33 p. (2023). MSC: 65N15 65N30 35A15 35J25 PDF BibTeX XML Cite \textit{W. Gong} et al., Adv. Comput. Math. 49, No. 2, Paper No. 15, 33 p. (2023; Zbl 07667231) Full Text: DOI OpenURL
Garcke, Harald; Knopf, Patrik; Nürnberg, Robert; Zhao, Quan A diffuse-interface approach for solid-state dewetting with anisotropic surface energies. (English) Zbl 07659762 J. Nonlinear Sci. 33, No. 2, Paper No. 34, 56 p. (2023). MSC: 35K61 35K65 35C20 49J40 74E10 65M60 PDF BibTeX XML Cite \textit{H. Garcke} et al., J. Nonlinear Sci. 33, No. 2, Paper No. 34, 56 p. (2023; Zbl 07659762) Full Text: DOI arXiv OpenURL
Arbogast, Todd; Wang, Chuning Direct serendipity and mixed finite elements on convex polygons. (English) Zbl 1507.65229 Numer. Algorithms 92, No. 2, 1451-1483 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N50 65N12 65D05 58A12 PDF BibTeX XML Cite \textit{T. Arbogast} and \textit{C. Wang}, Numer. Algorithms 92, No. 2, 1451--1483 (2023; Zbl 1507.65229) Full Text: DOI arXiv OpenURL
Du, Shaohong; He, Xiaoxia Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates. (English) Zbl 07644020 Comput. Math. Appl. 131, 14-25 (2023). MSC: 65N30 49J20 49M25 65K10 65N15 PDF BibTeX XML Cite \textit{S. Du} and \textit{X. He}, Comput. Math. Appl. 131, 14--25 (2023; Zbl 07644020) Full Text: DOI OpenURL
Angleitner, Niklas; Faustmann, Markus; Melenk, Jens Markus Exponential meshes and \(\mathcal{H}\)-matrices. (English) Zbl 07644009 Comput. Math. Appl. 130, 21-40 (2023). MSC: 65N30 65F05 35J25 65F50 65F30 PDF BibTeX XML Cite \textit{N. Angleitner} et al., Comput. Math. Appl. 130, 21--40 (2023; Zbl 07644009) Full Text: DOI arXiv OpenURL
Gudi, Thirupathi; Sau, Ramesh Ch. A two level finite element method for Stokes constrained Dirichlet boundary control problem. (English) Zbl 07644003 Comput. Math. Appl. 129, 126-135 (2023). MSC: 65N30 49J20 74S05 65K10 35Q30 PDF BibTeX XML Cite \textit{T. Gudi} and \textit{R. Ch. Sau}, Comput. Math. Appl. 129, 126--135 (2023; Zbl 07644003) Full Text: DOI arXiv OpenURL
Zhang, Yuqing; Wang, Xiang Unified construction and \(L^2\) analysis for the finite volume element method over tensorial meshes. (English) Zbl 1506.65190 Adv. Comput. Math. 49, No. 1, Paper No. 2, 23 p. (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N30 65N12 35R09 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{X. Wang}, Adv. Comput. Math. 49, No. 1, Paper No. 2, 23 p. (2023; Zbl 1506.65190) Full Text: DOI OpenURL
Mabdaoui, Mohamed; Moussa, Hicham; Rhoudaf, Mohamed Variational approximation in modular spaces by using finite element method approach. (English) Zbl 07637647 Numer. Funct. Anal. Optim. 44, No. 1, 64-85 (2023). MSC: 65-XX 41-XX PDF BibTeX XML Cite \textit{M. Mabdaoui} et al., Numer. Funct. Anal. Optim. 44, No. 1, 64--85 (2023; Zbl 07637647) Full Text: DOI OpenURL
Duan, Songyao; Wu, Haijun Adaptive FEM for Helmholtz equation with large wavenumber. (English) Zbl 1504.65253 J. Sci. Comput. 94, No. 1, Paper No. 21, 33 p. (2023). MSC: 65N30 65N12 65N15 35J05 78A40 PDF BibTeX XML Cite \textit{S. Duan} and \textit{H. Wu}, J. Sci. Comput. 94, No. 1, Paper No. 21, 33 p. (2023; Zbl 1504.65253) Full Text: DOI arXiv OpenURL
Xiang, Yahong; Huang, Can; Chen, Huangxin Optimal convergence analysis of a fully discrete scheme for the stochastic Stokes-Darcy equations. (English) Zbl 1504.65217 J. Sci. Comput. 94, No. 1, Paper No. 13, 29 p. (2023). MSC: 65M60 65M06 65N30 65N12 65N15 35B65 76S05 35Q35 PDF BibTeX XML Cite \textit{Y. Xiang} et al., J. Sci. Comput. 94, No. 1, Paper No. 13, 29 p. (2023; Zbl 1504.65217) Full Text: DOI OpenURL
Boyana, Satyajith Bommana; Lewis, Thomas; Rapp, Aaron; Zhang, Yi Convergence analysis of a symmetric dual-wind discontinuous Galerkin method for a parabolic variational inequality. (English) Zbl 1499.65645 J. Comput. Appl. Math. 422, Article ID 114922, 18 p. (2023). MSC: 65N30 65N12 65K15 49J40 PDF BibTeX XML Cite \textit{S. B. Boyana} et al., J. Comput. Appl. Math. 422, Article ID 114922, 18 p. (2023; Zbl 1499.65645) Full Text: DOI OpenURL
Cao, Waixiang; Wang, Chunmei; Wang, Junping An \(L^p\)-primal-dual weak Galerkin method for div-curl systems. (English) Zbl 1499.65646 J. Comput. Appl. Math. 422, Article ID 114881, 17 p. (2023). MSC: 65N30 35Q60 65N12 35F45 35Q61 PDF BibTeX XML Cite \textit{W. Cao} et al., J. Comput. Appl. Math. 422, Article ID 114881, 17 p. (2023; Zbl 1499.65646) Full Text: DOI arXiv OpenURL
Li, Di; Liu, Min; Lu, Xiliang; Yang, Jerry Zhijian The discontinuous Galerkin method by patch reconstruction for Helmholtz problems. (English) Zbl 07612906 Adv. Appl. Math. Mech. 15, No. 1, 30-48 (2023). MSC: 35J05 65N30 PDF BibTeX XML Cite \textit{D. Li} et al., Adv. Appl. Math. Mech. 15, No. 1, 30--48 (2023; Zbl 07612906) Full Text: DOI OpenURL
Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus Error estimates for a vorticity-based velocity-stress formulation of the Stokes eigenvalue problem. (English) Zbl 1497.65214 J. Comput. Appl. Math. 420, Article ID 114798, 20 p. (2023). MSC: 65N25 35Q35 65N15 65N30 65N50 76D07 PDF BibTeX XML Cite \textit{F. Lepe} et al., J. Comput. Appl. Math. 420, Article ID 114798, 20 p. (2023; Zbl 1497.65214) Full Text: DOI arXiv OpenURL
Lu, Jinyang; Xu, Yan; Zhang, Chao Error estimates of the local discontinuous Galerkin methods for two-dimensional \((\mu)\)-Camassa-Holm equations. (English) Zbl 1500.65065 J. Comput. Appl. Math. 420, Article ID 114722, 29 p. (2023). MSC: 65M60 65L06 65N30 76B15 35Q35 PDF BibTeX XML Cite \textit{J. Lu} et al., J. Comput. Appl. Math. 420, Article ID 114722, 29 p. (2023; Zbl 1500.65065) Full Text: DOI OpenURL
He, Mingyan; Tian, Jia; Sun, Pengtao; Zhang, Zhengfang An energy-conserving finite element method for nonlinear fourth-order wave equations. (English) Zbl 1498.65158 Appl. Numer. Math. 183, 333-354 (2023). MSC: 65M60 65M06 65N30 65M12 35G20 PDF BibTeX XML Cite \textit{M. He} et al., Appl. Numer. Math. 183, 333--354 (2023; Zbl 1498.65158) Full Text: DOI OpenURL
Long, Xiaonian; Ding, Qianqian; Mao, Shipeng Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem. (English) Zbl 1498.76053 J. Comput. Appl. Math. 419, Article ID 114728, 22 p. (2023). MSC: 76M10 76W05 65M15 PDF BibTeX XML Cite \textit{X. Long} et al., J. Comput. Appl. Math. 419, Article ID 114728, 22 p. (2023; Zbl 1498.76053) Full Text: DOI OpenURL
Kinoshita, Takehiko; Watanabe, Yoshitaka; Yamamoto, Nobito; Nakao, Mitsuhiro T. Inclusion method of optimal constant with quadratic convergence for \(H_0^1\)-projection error estimates and its applications. (English) Zbl 1496.65221 J. Comput. Appl. Math. 417, Article ID 114521, 18 p. (2023). MSC: 65N30 33C45 42C05 47F05 65G20 65N15 PDF BibTeX XML Cite \textit{T. Kinoshita} et al., J. Comput. Appl. Math. 417, Article ID 114521, 18 p. (2023; Zbl 1496.65221) Full Text: DOI OpenURL
He, Wenlong; Ge, Zhihao A new mixed finite element method for a swelling clay model with secondary consolidation. (English) Zbl 1505.65292 Appl. Math. Modelling 112, 391-414 (2022). MSC: 65N30 74F10 PDF BibTeX XML Cite \textit{W. He} and \textit{Z. Ge}, Appl. Math. Modelling 112, 391--414 (2022; Zbl 1505.65292) Full Text: DOI OpenURL
Boffi, Daniele; Gardini, Francesca; Gastaldi, Lucia Virtual element approximation of eigenvalue problems. (English) Zbl 1503.65287 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 275-320 (2022). MSC: 65N30 65N25 65N50 65N12 65N15 74B05 74H45 76Q05 35Q74 35Q35 PDF BibTeX XML Cite \textit{D. Boffi} et al., SEMA SIMAI Springer Ser. 31, 275--320 (2022; Zbl 1503.65287) Full Text: DOI arXiv OpenURL
Gatica, Gabriel N.; Márquez, Antonio; Meddahi, Salim A virtual marriage à la mode: some recent results on the coupling of VEM and BEM. (English) Zbl 1503.65294 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 227-274 (2022). MSC: 65N30 65N38 35J05 35A01 35A02 35B45 65N15 PDF BibTeX XML Cite \textit{G. N. Gatica} et al., SEMA SIMAI Springer Ser. 31, 227--274 (2022; Zbl 1503.65294) Full Text: DOI OpenURL
Chen, Long; Huang, Xuehai Discrete Hessian complexes in three dimensions. (English) Zbl 1503.65291 Antonietti, Paola F. (ed.) et al., The virtual element method and its applications. Cham: Birkhäuser. SEMA SIMAI Springer Ser. 31, 93-135 (2022). MSC: 65N30 65N12 83C22 83-08 35Q76 PDF BibTeX XML Cite \textit{L. Chen} and \textit{X. Huang}, SEMA SIMAI Springer Ser. 31, 93--135 (2022; Zbl 1503.65291) Full Text: DOI arXiv OpenURL
Wang, Zhen The local discontinuous Galerkin finite element method for a multiterm time-fractional initial-boundary value problem. (English) Zbl 1499.65537 J. Appl. Math. Comput. 68, No. 6, 4391-4413 (2022). MSC: 65M60 35R11 65M12 PDF BibTeX XML Cite \textit{Z. Wang}, J. Appl. Math. Comput. 68, No. 6, 4391--4413 (2022; Zbl 1499.65537) Full Text: DOI OpenURL
Gao, Xinyue; Qin, Yi; Li, Jian; Chen, Zhangxin A full discretization of a time-dependent closed-loop geothermal system by a two-grid scheme. (English) Zbl 1503.65213 Results Appl. Math. 16, Article ID 100343, 24 p. (2022). MSC: 65M55 65M06 65N30 65N50 76S05 76D05 74L10 35K05 86A99 76M10 76M20 35Q35 35Q79 PDF BibTeX XML Cite \textit{X. Gao} et al., Results Appl. Math. 16, Article ID 100343, 24 p. (2022; Zbl 1503.65213) Full Text: DOI OpenURL
Bartels, Sören; Milicevic, Marijo; Thomas, Marita; Tornquist, Sven; Weber, Nico Approximation schemes for materials with discontinuities. (English) Zbl 07626699 Schröder, Jörg (ed.) et al., Non-standard discretisation methods in solid mechanics. Cham: Springer. Lect. Notes Appl. Comput. Mech. 98, 505-565 (2022). MSC: 74S05 74Rxx PDF BibTeX XML Cite \textit{S. Bartels} et al., Lect. Notes Appl. Comput. Mech. 98, 505--565 (2022; Zbl 07626699) Full Text: DOI OpenURL
Farrell, Patrick E.; Hamdan, Abdalaziz; MacLachlan, Scott P. A new mixed finite-element method for \(H^2\) elliptic problems. (English) Zbl 1504.65254 Comput. Math. Appl. 128, 300-319 (2022). MSC: 65N30 35Jxx 65F08 PDF BibTeX XML Cite \textit{P. E. Farrell} et al., Comput. Math. Appl. 128, 300--319 (2022; Zbl 1504.65254) Full Text: DOI arXiv OpenURL
Zhao, Lina; Park, Eun-Jae; Chung, Eric A pressure robust staggered discontinuous Galerkin method for the Stokes equations. (English) Zbl 1504.65262 Comput. Math. Appl. 128, 163-179 (2022). MSC: 65N30 35Q30 76M30 PDF BibTeX XML Cite \textit{L. Zhao} et al., Comput. Math. Appl. 128, 163--179 (2022; Zbl 1504.65262) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{J. Camaño} et al., Comput. Math. Appl. 127, 65--79 (2022; Zbl 07625590) Full Text: DOI OpenURL
Han, Weimin; Sofonea, Mircea Numerical analysis of a general elliptic variational-hemivariational inequality. (English) Zbl 07623326 J. Nonlinear Var. Anal. 6, No. 5, 517-534 (2022). MSC: 47-XX 46-XX PDF BibTeX XML Cite \textit{W. Han} and \textit{M. Sofonea}, J. Nonlinear Var. Anal. 6, No. 5, 517--534 (2022; Zbl 07623326) Full Text: DOI OpenURL
Achouri, Talha An efficient numerical simulation of the two-dimensional semilinear wave equation. (English) Zbl 07622779 Comput. Appl. Math. 41, No. 8, Paper No. 386, 22 p. (2022). MSC: 65N30 PDF BibTeX XML Cite \textit{T. Achouri}, Comput. Appl. Math. 41, No. 8, Paper No. 386, 22 p. (2022; Zbl 07622779) Full Text: DOI OpenURL
Cheng, Yao; Yan, Li; Mei, Yanjie Balanced-norm error estimate of the local discontinuous Galerkin method on layer-adapted meshes for reaction-diffusion problems. (English) Zbl 07621826 Numer. Algorithms 91, No. 4, 1597-1626 (2022). MSC: 65L11 65M12 65M60 PDF BibTeX XML Cite \textit{Y. Cheng} et al., Numer. Algorithms 91, No. 4, 1597--1626 (2022; Zbl 07621826) Full Text: DOI OpenURL
Wang, Lele; Liao, Xin; Yang, Huaijun Unconditional superconvergence analysis of an energy-stable finite element scheme for nonlinear Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1502.65148 Bound. Value Probl. 2022, Paper No. 72, 13 p. (2022). MSC: 65M60 65M06 65N30 65M12 65M15 35Q53 PDF BibTeX XML Cite \textit{L. Wang} et al., Bound. Value Probl. 2022, Paper No. 72, 13 p. (2022; Zbl 1502.65148) Full Text: DOI OpenURL
Gonzalez, Jorge; James, J. D. Mireles; Tuncer, Necibe Finite element approximation of invariant manifolds by the parameterization method. (English) Zbl 07619341 SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 75, 38 p. (2022). MSC: 68Q25 68R10 68U05 PDF BibTeX XML Cite \textit{J. Gonzalez} et al., SN Partial Differ. Equ. Appl. 3, No. 6, Paper No. 75, 38 p. (2022; Zbl 07619341) Full Text: DOI arXiv OpenURL
John, Volker; Knobloch, Petr On algebraically stabilized schemes for convection-diffusion-reaction problems. (English) Zbl 1503.65297 Numer. Math. 152, No. 3, 553-585 (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65N30 65N12 65N15 PDF BibTeX XML Cite \textit{V. John} and \textit{P. Knobloch}, Numer. Math. 152, No. 3, 553--585 (2022; Zbl 1503.65297) Full Text: DOI arXiv OpenURL
Zeng, Huilan; Zhang, Chen-Song; Zhang, Shuo A low-degree strictly conservative finite element method for incompressible flows on general triangulations. (English) Zbl 1501.65135 SMAI J. Comput. Math. 8, 225-248 (2022). MSC: 65N30 65N50 65N12 65N15 76D05 76D07 76S05 76M10 PDF BibTeX XML Cite \textit{H. Zeng} et al., SMAI J. Comput. Math. 8, 225--248 (2022; Zbl 1501.65135) Full Text: DOI OpenURL
Abgrall, Rémi; Ricchiuto, Mario Hyperbolic balance laws: residual distribution, local and global fluxes. (English) Zbl 07615423 Zeidan, Dia (ed.) et al., Numerical fluid dynamics. Methods and computations. Singapore: Springer. Forum Interdiscip. Math., 177-222 (2022). MSC: 76M12 76N15 35L65 PDF BibTeX XML Cite \textit{R. Abgrall} and \textit{M. Ricchiuto}, in: Numerical fluid dynamics. Methods and computations. Singapore: Springer. 177--222 (2022; Zbl 07615423) Full Text: DOI arXiv OpenURL
Lapin, Alexander V.; Levinskaya, Ksenija O. Locally one-dimensional schemes for quasilinear parabolic equations with time fractional derivative. (English) Zbl 07610448 Badriev, Ildar B. (ed.) et al., Mesh methods for boundary-value problems and applications. 13th international conference, Kazan, Russia, October 20–25, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 141, 279-291 (2022). MSC: 65Nxx PDF BibTeX XML Cite \textit{A. V. Lapin} and \textit{K. O. Levinskaya}, Lect. Notes Comput. Sci. Eng. 141, 279--291 (2022; Zbl 07610448) Full Text: DOI OpenURL
Korneev, Vadim G. On error control at numerical solution of forth order elliptic equations with strongly discontinuous reaction coefficient. (English) Zbl 07610443 Badriev, Ildar B. (ed.) et al., Mesh methods for boundary-value problems and applications. 13th international conference, Kazan, Russia, October 20–25, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 141, 219-230 (2022). MSC: 65Nxx PDF BibTeX XML Cite \textit{V. G. Korneev}, Lect. Notes Comput. Sci. Eng. 141, 219--230 (2022; Zbl 07610443) Full Text: DOI OpenURL
Gu, Qiling; Chen, Yanping; Huang, Yunqing Superconvergence analysis of a two-grid finite element method for nonlinear time-fractional diffusion equations. (English) Zbl 1500.65056 Comput. Appl. Math. 41, No. 8, Paper No. 361, 20 p. (2022). MSC: 65M55 65M60 65M06 65N30 65M12 26A33 35R11 PDF BibTeX XML Cite \textit{Q. Gu} et al., Comput. Appl. Math. 41, No. 8, Paper No. 361, 20 p. (2022; Zbl 1500.65056) Full Text: DOI OpenURL
Bourgeois, Laurent; Dardé, Jérémi The Morozov’s principle applied to data assimilation problems. (English) Zbl 1501.35134 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2021-2050 (2022). MSC: 35J05 35K05 35R25 65M60 PDF BibTeX XML Cite \textit{L. Bourgeois} and \textit{J. Dardé}, ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2021--2050 (2022; Zbl 1501.35134) Full Text: DOI arXiv OpenURL
Jiang, Run; Li, Yonglin; Wu, Haijun; Zou, Jun Finite element method for a nonlinear perfectly matched layer Helmholtz equation with high wave number. (English) Zbl 1502.65204 SIAM J. Numer. Anal. 60, No. 5, 2866-2896 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65H10 65N12 65N15 78A40 78A45 78A60 35Q60 35A01 35A02 PDF BibTeX XML Cite \textit{R. Jiang} et al., SIAM J. Numer. Anal. 60, No. 5, 2866--2896 (2022; Zbl 1502.65204) Full Text: DOI arXiv OpenURL
Wang, Zhen High-order numerical algorithms for the time-fractional convection-diffusion equation. (English) Zbl 07606307 Int. J. Comput. Math. 99, No. 11, 2327-2348 (2022). MSC: 65M60 65M06 65N30 65M12 76R50 26A33 35R11 PDF BibTeX XML Cite \textit{Z. Wang}, Int. J. Comput. Math. 99, No. 11, 2327--2348 (2022; Zbl 07606307) Full Text: DOI OpenURL
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 OpenURL
Kien, B. T.; Tuan, N. Q. Error estimates for approximate solutions to seminlinear elliptic optimal control problems with nonlinear and mixed constraints. (English) Zbl 1498.49034 Numer. Funct. Anal. Optim. 43, No. 14, 1672-1706 (2022). MSC: 49K20 35J25 35J61 49M25 65M60 PDF BibTeX XML Cite \textit{B. T. Kien} and \textit{N. Q. Tuan}, Numer. Funct. Anal. Optim. 43, No. 14, 1672--1706 (2022; Zbl 1498.49034) Full Text: DOI OpenURL
Chowdhury, Sudipto; Dond, Asha K.; Nataraj, Neela; Shylaja, Devika A posteriori error analysis for a distributed optimal control problem governed by the von Kármán equations. (English) Zbl 1501.65108 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1655-1686 (2022). MSC: 65N30 65N15 49M05 49M25 49M41 74K20 31A30 35Q74 PDF BibTeX XML Cite \textit{S. Chowdhury} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1655--1686 (2022; Zbl 1501.65108) Full Text: DOI arXiv OpenURL
Guessab, Allal A characterization for the validity of the Hermite-Hadamard inequality on a simplex. (English) Zbl 1496.26031 Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 369-396 (2022). MSC: 26D15 26A51 PDF BibTeX XML Cite \textit{A. Guessab}, Springer Optim. Appl. 180, 369--396 (2022; Zbl 1496.26031) Full Text: DOI OpenURL
Alonso Rodríguez, Ana; Bruno, Ludovico Bruni; Rapetti, F. Towards nonuniform distributions of unisolvent weights for high-order Whitney edge elements. (English) Zbl 1501.65100 Calcolo 59, No. 4, Paper No. 37, 29 p. (2022). MSC: 65N30 65D05 PDF BibTeX XML Cite \textit{A. Alonso Rodríguez} et al., Calcolo 59, No. 4, Paper No. 37, 29 p. (2022; Zbl 1501.65100) Full Text: DOI OpenURL
Razgulin, A. V.; Iroshnikov, N. G.; Larichev, A. V.; Turganbayev, S. A.; Romanenko, T. E. Estimates of the accuracy of the projection method with a fractional smoothness stabilizer in the problem of reconstructing the wavefront based on its slopes. (English. Russian original) Zbl 07596445 Differ. Equ. 58, No. 7, 985-998 (2022); translation from Differ. Uravn. 58, No. 7, 995-1008 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{A. V. Razgulin} et al., Differ. Equ. 58, No. 7, 985--998 (2022; Zbl 07596445); translation from Differ. Uravn. 58, No. 7, 995--1008 (2022) Full Text: DOI OpenURL
Ge, Zhihao; Pei, Shuaichao; Yuan, Yinyin A two-level multiphysics finite element method for a nonlinear poroelasticity model. (English) Zbl 07595296 Comput. Math. Appl. 124, 63-73 (2022). MSC: 65N30 76S05 74S05 65M60 76M10 PDF BibTeX XML Cite \textit{Z. Ge} et al., Comput. Math. Appl. 124, 63--73 (2022; Zbl 07595296) Full Text: DOI OpenURL
Zhao, Lina A Robin-type domain decomposition method for a novel mixed-type DG method for the coupled Stokes-Darcy problem. (English) Zbl 07595089 SIAM J. Sci. Comput. 44, No. 5, B1221-B1256 (2022). MSC: 65M55 65M60 65M12 PDF BibTeX XML Cite \textit{L. Zhao}, SIAM J. Sci. Comput. 44, No. 5, B1221--B1256 (2022; Zbl 07595089) Full Text: DOI arXiv OpenURL
Caucao, Sergio; Li, Tongtong; Yotov, Ivan A multipoint stress-flux mixed finite element method for the Stokes-Biot model. (English) Zbl 07594020 Numer. Math. 152, No. 2, 411-473 (2022). MSC: 76M10 76S05 76D07 PDF BibTeX XML Cite \textit{S. Caucao} et al., Numer. Math. 152, No. 2, 411--473 (2022; Zbl 07594020) Full Text: DOI arXiv OpenURL
Korotov, Sergey; Křížek, Michal; Kučera, Václav On degenerating finite element tetrahedral partitions. (English) Zbl 1501.65147 Numer. Math. 152, No. 2, 307-329 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N50 65N30 65N15 PDF BibTeX XML Cite \textit{S. Korotov} et al., Numer. Math. 152, No. 2, 307--329 (2022; Zbl 1501.65147) Full Text: DOI OpenURL
Ding, Qianqian; Mao, Shipeng; Sun, Jiaao Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system. (English) Zbl 1498.76052 Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022). MSC: 76M10 76W05 65M15 65M12 PDF BibTeX XML Cite \textit{Q. Ding} et al., Adv. Comput. Math. 48, No. 5, Paper No. 55, 23 p. (2022; Zbl 1498.76052) Full Text: DOI OpenURL
Zhang, Kuokuo; Deng, Weibing; Wu, Haijun A combined multiscale finite element method based on the LOD technique for the multiscale elliptic problems with singularities. (English) Zbl 07592140 J. Comput. Phys. 469, Article ID 111540, 21 p. (2022). MSC: 65Nxx 35Jxx 76Mxx PDF BibTeX XML Cite \textit{K. Zhang} et al., J. Comput. Phys. 469, Article ID 111540, 21 p. (2022; Zbl 07592140) Full Text: DOI arXiv OpenURL
Xuan, Hailing; Cheng, Xiaoliang Numerical analysis and simulations of a frictional contact problem with damage and memory. (English) Zbl 1495.74068 Math. Control Relat. Fields 12, No. 3, 621-639 (2022). MSC: 74S05 74M15 65N15 PDF BibTeX XML Cite \textit{H. Xuan} and \textit{X. Cheng}, Math. Control Relat. Fields 12, No. 3, 621--639 (2022; Zbl 1495.74068) Full Text: DOI OpenURL
Zhou, Yanhui; Wu, Jiming A new high order finite volume element solution on arbitrary triangular and quadrilateral meshes. (English) Zbl 1503.65278 Appl. Math. Lett. 134, Article ID 108354, 10 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65N50 65N15 65N12 65N30 35A01 35A02 PDF BibTeX XML Cite \textit{Y. Zhou} and \textit{J. Wu}, Appl. Math. Lett. 134, Article ID 108354, 10 p. (2022; Zbl 1503.65278) Full Text: DOI OpenURL
Tao, Qi; Ji, Liangyue; Ryan, Jennifer K.; Xu, Yan Accuracy-enhancement of discontinuous Galerkin methods for PDEs containing high order spatial derivatives. (English) Zbl 1497.65183 J. Sci. Comput. 93, No. 1, Paper No. 13, 31 p. (2022). MSC: 65M60 65M06 65N30 65M12 35L65 35L67 PDF BibTeX XML Cite \textit{Q. Tao} et al., J. Sci. Comput. 93, No. 1, Paper No. 13, 31 p. (2022; Zbl 1497.65183) Full Text: DOI OpenURL
Lepe, Felipe; Rivera, Gonzalo; Vellojin, Jesus A posteriori analysis for a mixed FEM discretization of the linear elasticity spectral problem. (English) Zbl 07590397 J. Sci. Comput. 93, No. 1, Paper No. 10, 25 p. (2022). MSC: 65N30 65N25 65N15 65N50 35M10 35A15 35J15 74B05 74S05 35Q74 PDF BibTeX XML Cite \textit{F. Lepe} et al., J. Sci. Comput. 93, No. 1, Paper No. 10, 25 p. (2022; Zbl 07590397) Full Text: DOI arXiv OpenURL
Wang, Yue; Meng, Xiangyun; Li, Yonghai The Bogner-Fox-Schmit element finite volume methods on the Shishkin mesh for fourth-order singularly perturbed elliptic problems. (English) Zbl 1497.65208 J. Sci. Comput. 93, No. 1, Paper No. 4, 40 p. (2022). MSC: 65N08 65N12 65N15 65N55 35B25 35B35 35J75 35J30 PDF BibTeX XML Cite \textit{Y. Wang} et al., J. Sci. Comput. 93, No. 1, Paper No. 4, 40 p. (2022; Zbl 1497.65208) Full Text: DOI OpenURL
Gao, Guangwei; Wu, Shuonan Auxiliary space preconditioners for a \(C^0\) finite element approximation of Hamilton-Jacobi-Bellman equations with cordes coefficients. (English) Zbl 1497.65226 J. Sci. Comput. 92, No. 3, Paper No. 105, 26 p. (2022). MSC: 65N30 65H10 65F08 35J15 35F21 35D30 93E20 PDF BibTeX XML Cite \textit{G. Gao} and \textit{S. Wu}, J. Sci. Comput. 92, No. 3, Paper No. 105, 26 p. (2022; Zbl 1497.65226) Full Text: DOI arXiv OpenURL
Sky, Adam; Neunteufel, Michael; Muench, Ingo; Schöberl, Joachim; Neff, Patrizio Primal and mixed finite element formulations for the relaxed micromorphic model. (English) Zbl 1507.74048 Comput. Methods Appl. Mech. Eng. 399, Article ID 115298, 35 p. (2022). MSC: 74A60 74S05 65N30 PDF BibTeX XML Cite \textit{A. Sky} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115298, 35 p. (2022; Zbl 1507.74048) Full Text: DOI arXiv OpenURL
Acharya, Sanjib Kumar; Porwal, Kamana Primal hybrid finite element method for the linear elasticity problem. (English) Zbl 07589654 Appl. Math. Comput. 435, Article ID 127462, 14 p. (2022). MSC: 74S05 65N30 74B05 PDF BibTeX XML Cite \textit{S. K. Acharya} and \textit{K. Porwal}, Appl. Math. Comput. 435, Article ID 127462, 14 p. (2022; Zbl 07589654) Full Text: DOI OpenURL
Abgaryan, G. V. Finite element method and partial area method in one diffraction problem. (English) Zbl 1498.78016 Lobachevskii J. Math. 43, No. 5, 1224-1231 (2022). MSC: 78A45 78A50 78M10 35J05 65N30 PDF BibTeX XML Cite \textit{G. V. Abgaryan}, Lobachevskii J. Math. 43, No. 5, 1224--1231 (2022; Zbl 1498.78016) Full Text: DOI OpenURL
John, Volker; Moreau, Baptiste; Novo, Julia Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations. (English) Zbl 07585768 Comput. Math. Appl. 122, 48-60 (2022). MSC: 65M60 76D05 76M10 65N30 65M15 PDF BibTeX XML Cite \textit{V. John} et al., Comput. Math. Appl. 122, 48--60 (2022; Zbl 07585768) Full Text: DOI OpenURL
Garde, Henrik; Hyvönen, Nuutti Reconstruction of singular and degenerate inclusions in Calderón’s problem. (English) Zbl 1497.35513 Inverse Probl. Imaging 16, No. 5, 1219-1227 (2022). MSC: 35R30 35R05 35J25 35J70 47H05 PDF BibTeX XML Cite \textit{H. Garde} and \textit{N. Hyvönen}, Inverse Probl. Imaging 16, No. 5, 1219--1227 (2022; Zbl 1497.35513) Full Text: DOI arXiv OpenURL
Jiao, Mengjiao; Jiang, Yan; Shu, Chi-Wang; Zhang, Mengping Optimal error estimates to smooth solutions of the central discontinuous Galerkin methods for nonlinear scalar conservation laws. (English) Zbl 1497.65174 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1401-1435 (2022). MSC: 65M60 65M12 65M15 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{M. Jiao} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1401--1435 (2022; Zbl 1497.65174) Full Text: DOI OpenURL
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 OpenURL
Lu, Peipei; Rupp, Andreas; Kanschat, Guido Analysis of injection operators in geometric multigrid solvers for HDG methods. (English) Zbl 07582230 SIAM J. Numer. Anal. 60, No. 4, 2293-2317 (2022). Reviewer: Martin Kronbichler (München) MSC: 65N55 65F10 65N30 PDF BibTeX XML Cite \textit{P. Lu} et al., SIAM J. Numer. Anal. 60, No. 4, 2293--2317 (2022; Zbl 07582230) Full Text: DOI arXiv OpenURL
Legatiuk, Dmitrii; Weisz-Patrault, Daniel Coupling of complex function theory and finite element method for crack propagation through energetic formulation: conformal mapping approach and reduction to a Riemann-Hilbert problem. (English) Zbl 1502.35048 Comput. Methods Funct. Theory 22, No. 3, 535-557 (2022). MSC: 35J05 30C20 35Q15 65N30 74R10 PDF BibTeX XML Cite \textit{D. Legatiuk} and \textit{D. Weisz-Patrault}, Comput. Methods Funct. Theory 22, No. 3, 535--557 (2022; Zbl 1502.35048) Full Text: DOI arXiv OpenURL
Kazeev, Vladimir; Oseledets, Ivan; Rakhuba, Maxim V.; Schwab, Christoph Quantized tensor FEM for multiscale problems: diffusion problems in two and three dimensions. (English) Zbl 1496.65220 Multiscale Model. Simul. 20, No. 3, 893-935 (2022). MSC: 65N30 65N50 65N15 65N22 35B27 15A69 PDF BibTeX XML Cite \textit{V. Kazeev} et al., Multiscale Model. Simul. 20, No. 3, 893--935 (2022; Zbl 1496.65220) Full Text: DOI arXiv OpenURL
Ljung, Per; Maier, Roland; Målqvist, Axel A space-time multiscale method for parabolic problems. (English) Zbl 1493.65158 Multiscale Model. Simul. 20, No. 2, 714-740 (2022). MSC: 65M60 65M12 PDF BibTeX XML Cite \textit{P. Ljung} et al., Multiscale Model. Simul. 20, No. 2, 714--740 (2022; Zbl 1493.65158) Full Text: DOI arXiv OpenURL
Zeng, Yunhua; Tan, Zhijun Two-grid finite element methods for nonlinear time fractional variable coefficient diffusion equations. (English) Zbl 07576335 Appl. Math. Comput. 434, Article ID 127408, 16 p. (2022). MSC: 65M60 35K57 35R11 PDF BibTeX XML Cite \textit{Y. Zeng} and \textit{Z. Tan}, Appl. Math. Comput. 434, Article ID 127408, 16 p. (2022; Zbl 07576335) Full Text: DOI OpenURL
van Duijn, C. J.; Mikelić, A.; Wick, T. Mandel’s problem as a benchmark for two-dimensional nonlinear poroelasticity. (English) Zbl 1504.35384 Appl. Anal. 101, No. 12, 4267-4293 (2022). MSC: 35Q35 35Q74 76S05 76N10 74F10 74B20 74L10 35M13 65M22 65N30 65H10 65F05 76M10 74S05 PDF BibTeX XML Cite \textit{C. J. van Duijn} et al., Appl. Anal. 101, No. 12, 4267--4293 (2022; Zbl 1504.35384) Full Text: DOI OpenURL
Taraschi, Giovanni; Correa, Maicon R. On the convergence of the primal hybrid finite element method on quadrilateral meshes. (English) Zbl 1502.65217 Appl. Numer. Math. 181, 552-560 (2022). MSC: 65N30 65N12 65N50 35J25 76S05 76M10 35Q35 PDF BibTeX XML Cite \textit{G. Taraschi} and \textit{M. R. Correa}, Appl. Numer. Math. 181, 552--560 (2022; Zbl 1502.65217) Full Text: DOI OpenURL
Hao, Tingting; Ma, Manman; Xu, Xuejun Adaptive finite element approximation for steady-state Poisson-Nernst-Planck equations. (English) Zbl 1492.65310 Adv. Comput. Math. 48, No. 4, Paper No. 49, 27 p. (2022). MSC: 65N30 65N15 65J15 35K61 PDF BibTeX XML Cite \textit{T. Hao} et al., Adv. Comput. Math. 48, No. 4, Paper No. 49, 27 p. (2022; Zbl 1492.65310) Full Text: DOI arXiv OpenURL
Chen, Long; Huang, Xuehai Finite elements for div- and divdiv-conforming symmetric tensors in arbitrary dimension. (English) Zbl 1496.65213 SIAM J. Numer. Anal. 60, No. 4, 1932-1961 (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 74S05 74B10 65N80 PDF BibTeX XML Cite \textit{L. Chen} and \textit{X. Huang}, SIAM J. Numer. Anal. 60, No. 4, 1932--1961 (2022; Zbl 1496.65213) Full Text: DOI arXiv OpenURL
Chen, Yanping; Gu, Qiling; Li, Qingfeng; Huang, Yunqing A two-grid finite element approximation for nonlinear time fractional two-term mixed sub-diffusion and diffusion wave equations. (English) Zbl 07571707 J. Comput. Math. 40, No. 6, 938-956 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 65M55 26A33 35R11 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Math. 40, No. 6, 938--956 (2022; Zbl 07571707) Full Text: DOI OpenURL
Zhang, Bei; Zhao, Jikun; Li, Minghao; Chen, Hongru Stabilized nonconforming mixed finite element method for linear elasticity on rectangular or cubic meshes. (English) Zbl 07571704 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 07571704) Full Text: DOI OpenURL
Xu, Fei; Huang, Qiumei; Dai, Haishen; Ma, Hongkun Multilevel local defect-correction method for nonsymmetric eigenvalue problems. (English) Zbl 1502.65183 J. Sci. Comput. 92, No. 3, Paper No. 85, 26 p. (2022). MSC: 65N25 65N30 PDF BibTeX XML Cite \textit{F. Xu} et al., J. Sci. Comput. 92, No. 3, Paper No. 85, 26 p. (2022; Zbl 1502.65183) Full Text: DOI OpenURL
Zhao, Jikun; Wang, Tianle; Zhang, Bei The stabilized nonconforming virtual element method for linear elasticity problem. (English) Zbl 1492.65335 J. Sci. Comput. 92, No. 2, Paper No. 68, 29 p. (2022). MSC: 65N30 65N12 PDF BibTeX XML Cite \textit{J. Zhao} et al., J. Sci. Comput. 92, No. 2, Paper No. 68, 29 p. (2022; Zbl 1492.65335) Full Text: DOI OpenURL
Marchildon, André L.; Zingg, David W. Unisolvency for polynomial interpolation in simplices with symmetrical nodal distributions. (English) Zbl 1492.65037 J. Sci. Comput. 92, No. 2, Paper No. 50, 24 p. (2022). MSC: 65D05 41A05 41A63 PDF BibTeX XML Cite \textit{A. L. Marchildon} and \textit{D. W. Zingg}, J. Sci. Comput. 92, No. 2, Paper No. 50, 24 p. (2022; Zbl 1492.65037) Full Text: DOI OpenURL
Chen, Yuxiang; Ge, Zhihao Multiphysics finite element method for quasi-static thermo-poroelasticity. (English) Zbl 1494.74075 J. Sci. Comput. 92, No. 2, Paper No. 43, 38 p. (2022). MSC: 74S05 74F10 74F05 74B99 35Q74 65M12 65M60 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{Z. Ge}, J. Sci. Comput. 92, No. 2, Paper No. 43, 38 p. (2022; Zbl 1494.74075) Full Text: DOI OpenURL
Gharibi, Zeinab; Dehghan, Mehdi; Abbaszadeh, Mostafa Optimal error bound for immersed weak Galerkin finite element method for elliptic interface problems. (English) Zbl 1492.65308 J. Comput. Appl. Math. 416, Article ID 114567, 19 p. (2022). MSC: 65N30 65N15 82B24 PDF BibTeX XML Cite \textit{Z. Gharibi} et al., J. Comput. Appl. Math. 416, Article ID 114567, 19 p. (2022; Zbl 1492.65308) Full Text: DOI OpenURL
Liu, Huan; Jin, Bangti; Lu, Xiliang Imaging anisotropic conductivities from current densities. (English) Zbl 1495.35214 SIAM J. Imaging Sci. 15, No. 2, 860-891 (2022). MSC: 35R30 35R25 35J25 47J06 PDF BibTeX XML Cite \textit{H. Liu} et al., SIAM J. Imaging Sci. 15, No. 2, 860--891 (2022; Zbl 1495.35214) Full Text: DOI arXiv OpenURL
Ochal, Anna; Jureczka, Michal; Bartman, Piotr A survey of numerical methods for hemivariational inequalities with applications to contact mechanics. (English) Zbl 1495.74048 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106563, 14 p. (2022). MSC: 74M15 74M10 74S05 74P10 74-02 49J40 35Q74 PDF BibTeX XML Cite \textit{A. Ochal} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106563, 14 p. (2022; Zbl 1495.74048) Full Text: DOI arXiv OpenURL
Zhao, Lina; Park, Eun-Jae A staggered discontinuous Galerkin method for quasi-linear second order elliptic problems of nonmonotone type. (English) Zbl 1492.65336 Comput. Methods Appl. Math. 22, No. 3, 729-750 (2022). MSC: 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{L. Zhao} and \textit{E.-J. Park}, Comput. Methods Appl. Math. 22, No. 3, 729--750 (2022; Zbl 1492.65336) Full Text: DOI OpenURL
Chen, Mingqing; Huang, Jianguo; Lin, Sen A posteriori error estimation for a \(C^1\) virtual element method of Kirchhoff plates. (English) Zbl 07566274 Comput. Math. Appl. 120, 132-150 (2022). MSC: 65N30 65N15 65N12 74S05 74K20 PDF BibTeX XML Cite \textit{M. Chen} et al., Comput. Math. Appl. 120, 132--150 (2022; Zbl 07566274) Full Text: DOI OpenURL
Zheng, Zhiyin; Li, Xiaolin Theoretical analysis of the generalized finite difference method. (English) Zbl 07566265 Comput. Math. Appl. 120, 1-14 (2022). MSC: 65N30 65M06 65N06 74S30 65N15 PDF BibTeX XML Cite \textit{Z. Zheng} and \textit{X. Li}, Comput. Math. Appl. 120, 1--14 (2022; Zbl 07566265) Full Text: DOI OpenURL
Zhu, Peng; Xie, Shenglan Supercloseness and postprocessing of stabilizer-free weak Galerkin finite element approximations for parabolic problems. (English) Zbl 07566241 Comput. Math. Appl. 119, 79-88 (2022). MSC: 65N30 65N15 65M15 65M60 65N12 PDF BibTeX XML Cite \textit{P. Zhu} and \textit{S. Xie}, Comput. Math. Appl. 119, 79--88 (2022; Zbl 07566241) Full Text: DOI OpenURL
Ai, Jingqi; Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang \(L^2\) error estimate to smooth solutions of high order Runge-Kutta discontinuous Galerkin method for scalar nonlinear conservation laws with and without sonic points. (English) Zbl 1501.65062 SIAM J. Numer. Anal. 60, No. 4, 1741-1773 (2022). MSC: 65M60 65L06 65M12 65M15 PDF BibTeX XML Cite \textit{J. Ai} et al., SIAM J. Numer. Anal. 60, No. 4, 1741--1773 (2022; Zbl 1501.65062) Full Text: DOI OpenURL
Zhao, Jingjun; Lv, Zhiqiang; Xu, Yang A weak Galerkin method with rectangle partitions for the Signorini problem. (English) Zbl 07562950 Comput. Appl. Math. 41, No. 5, Paper No. 207, 19 p. (2022). MSC: 65N30 65N15 74B10 35Q74 74S05 PDF BibTeX XML Cite \textit{J. Zhao} et al., Comput. Appl. Math. 41, No. 5, Paper No. 207, 19 p. (2022; Zbl 07562950) Full Text: DOI OpenURL
Hou, Tianliang; Liu, Chunmei; Dai, Chunlei; Chen, Luoping; Yang, Yin Two-grid algorithm of \(H^1\)-Galerkin mixed finite element methods for semilinear parabolic integro-differential equations. (English) Zbl 07560291 J. Comput. Math. 40, No. 5, 671-689 (2022). MSC: 49J20 65N30 47G20 35R09 PDF BibTeX XML Cite \textit{T. Hou} et al., J. Comput. Math. 40, No. 5, 671--689 (2022; Zbl 07560291) Full Text: DOI OpenURL
Fuica, Francisco; Otárola, Enrique A posteriori error estimates for an optimal control problem with a bilinear state equation. (English) Zbl 1493.49032 J. Optim. Theory Appl. 194, No. 2, 543-569 (2022). MSC: 49M25 49J20 49J10 65N15 65N30 65N50 PDF BibTeX XML Cite \textit{F. Fuica} and \textit{E. Otárola}, J. Optim. Theory Appl. 194, No. 2, 543--569 (2022; Zbl 1493.49032) Full Text: DOI arXiv OpenURL