Berrone, Stefano; Canuto, Claudio; Pintore, Moreno Variational physics informed neural networks: the role of quadratures and test functions. (English) Zbl 07568992 J. Sci. Comput. 92, No. 3, Paper No. 100, 27 p. (2022). MSC: 35B45 35J20 35Q93 65K10 65N20 68T07 PDF BibTeX XML Cite \textit{S. Berrone} et al., J. Sci. Comput. 92, No. 3, Paper No. 100, 27 p. (2022; Zbl 07568992) Full Text: DOI OpenURL
Ji, Guanghua; Zhu, Wanwan A weak Galerkin finite element method for time-dependent Poisson-Nernst-Planck equations. (English) Zbl 07567567 J. Comput. Appl. Math. 416, Article ID 114563, 21 p. (2022). MSC: 65M60 35B45 35J50 65M15 PDF BibTeX XML Cite \textit{G. Ji} and \textit{W. Zhu}, J. Comput. Appl. Math. 416, Article ID 114563, 21 p. (2022; Zbl 07567567) Full Text: DOI OpenURL
Kimura, Takuma; Minamoto, Teruya; Nakao, Mitsuhiro T. Improvement of the constructive a priori error estimates for a fully discretized periodic solution of heat equation. (English) Zbl 07566798 Comput. Methods Appl. Math. 22, No. 3, 631-647 (2022). MSC: 65-XX 35B10 35K05 65M15 65M60 PDF BibTeX XML Cite \textit{T. Kimura} et al., Comput. Methods Appl. Math. 22, No. 3, 631--647 (2022; Zbl 07566798) Full Text: DOI OpenURL
Etangsale, Grégory; Fahs, Marwan; Fontaine, Vincent; Rajaonison, Nalitiana Improved error estimates of hybridizable interior penalty methods using a variable penalty for highly anisotropic diffusion problems. (English) Zbl 07566242 Comput. Math. Appl. 119, 89-99 (2022). MSC: 65-XX 62-XX PDF BibTeX XML Cite \textit{G. Etangsale} et al., Comput. Math. Appl. 119, 89--99 (2022; Zbl 07566242) Full Text: DOI OpenURL
Hochbruck, Marlis; Maier, Bernhard Error analysis for space discretizations of quasilinear wave-type equations. (English) Zbl 07563186 IMA J. Numer. Anal. 42, No. 3, 1963-1990 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{M. Hochbruck} and \textit{B. Maier}, IMA J. Numer. Anal. 42, No. 3, 1963--1990 (2022; Zbl 07563186) 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 PDF BibTeX XML Cite \textit{T. Hou} et al., J. Comput. Math. 40, No. 5, 671--689 (2022; Zbl 07560291) Full Text: DOI OpenURL
Khandelwal, Rohit; Porwal, Kamana Pointwise a posteriori error analysis of a finite element method for the Signorini problem. (English) Zbl 07544564 J. Sci. Comput. 91, No. 2, Paper No. 42, 34 p. (2022). MSC: 65N30 65N15 65N75 74B10 74M15 35A23 35B45 35B65 35J86 PDF BibTeX XML Cite \textit{R. Khandelwal} and \textit{K. Porwal}, J. Sci. Comput. 91, No. 2, Paper No. 42, 34 p. (2022; Zbl 07544564) Full Text: DOI OpenURL
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing Error analysis of spectral approximation for space-time fractional optimal control problems with control and state constraints. (English) Zbl 07542678 J. Comput. Appl. Math. 413, Article ID 114293, 15 p. (2022). MSC: 65Mxx 65Nxx 49Mxx PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Comput. Appl. Math. 413, Article ID 114293, 15 p. (2022; Zbl 07542678) Full Text: DOI OpenURL
Bonforte, Matteo; Simonov, Nikita; Stan, Diana The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour. (English. French summary) Zbl 07541864 J. Math. Pures Appl. (9) 163, 83-131 (2022). Reviewer: Vincenzo Vespri (Firenze) MSC: 35B40 35B45 35K15 35K92 35K67 35C06 PDF BibTeX XML Cite \textit{M. Bonforte} et al., J. Math. Pures Appl. (9) 163, 83--131 (2022; Zbl 07541864) Full Text: DOI OpenURL
Burman, Erik; Puppi, Riccardo Two mixed finite element formulations for the weak imposition of the Neumann boundary conditions for the Darcy flow. (English) Zbl 07540596 J. Numer. Math. 30, No. 2, 141-162 (2022). MSC: 65N30 65N12 65N15 35B45 76S05 35Q35 PDF BibTeX XML Cite \textit{E. Burman} and \textit{R. Puppi}, J. Numer. Math. 30, No. 2, 141--162 (2022; Zbl 07540596) Full Text: DOI OpenURL
Boon, Wietse M.; Gläser, Dennis; Helmig, Rainer; Yotov, Ivan Flux-mortar mixed finite element methods on nonmatching grids. (English) Zbl 07538281 SIAM J. Numer. Anal. 60, No. 3, 1193-1225 (2022). MSC: 65N30 65N12 65N15 65N55 65N50 35B45 35A01 35A02 76S05 76D07 PDF BibTeX XML Cite \textit{W. M. Boon} et al., SIAM J. Numer. Anal. 60, No. 3, 1193--1225 (2022; Zbl 07538281) Full Text: DOI OpenURL
Burman, Erik; Hansbo, Peter; Larson, Mats G. Explicit time stepping for the wave equation using CutFEM with discrete extension. (English) Zbl 07537261 SIAM J. Sci. Comput. 44, No. 3, A1254-A1289 (2022). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M06 65N30 65M12 65M15 PDF BibTeX XML Cite \textit{E. Burman} et al., SIAM J. Sci. Comput. 44, No. 3, A1254--A1289 (2022; Zbl 07537261) Full Text: DOI OpenURL
Gbéya, Samuel; Houédanou, Koffi Wilfrid; Nyaga, Lewis; Ahounou, Bernardin Residual-based a posteriori error estimates for the \(hp\) version of the finite element discretization of the elliptic Robin boundary control problem. (English) Zbl 07534468 Results Appl. Math. 14, Article ID 100278, 25 p. (2022). MSC: 65N30 65N35 65N50 65N15 65K10 49K20 35J25 35B45 PDF BibTeX XML Cite \textit{S. Gbéya} et al., Results Appl. Math. 14, Article ID 100278, 25 p. (2022; Zbl 07534468) Full Text: DOI OpenURL
Civiletti, B. J.; Lakhtakia, A.; Monk, P. B. Hybridization of the rigorous coupled-wave approach with transformation optics for electromagnetic scattering by a surface-relief grating. (English) Zbl 07531742 J. Comput. Appl. Math. 412, Article ID 114338, 22 p. (2022). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78A45 78A25 78M10 78M30 65N30 65N12 65N15 35B45 35A02 35J05 35Q60 PDF BibTeX XML Cite \textit{B. J. Civiletti} et al., J. Comput. Appl. Math. 412, Article ID 114338, 22 p. (2022; Zbl 07531742) Full Text: DOI OpenURL
Larsson, Karl; Kollmannsberger, Stefan; Rank, Ernst; Larson, Mats G. The finite cell method with least squares stabilized Nitsche boundary conditions. (English) Zbl 07526115 Comput. Methods Appl. Mech. Eng. 393, Article ID 114792, 17 p. (2022). MSC: 65-XX 92-XX PDF BibTeX XML Cite \textit{K. Larsson} et al., Comput. Methods Appl. Mech. Eng. 393, Article ID 114792, 17 p. (2022; Zbl 07526115) Full Text: DOI OpenURL
Yang, Shuping; Xiong, Xiangtuan; Pan, Ping; Sun, Yue Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation. (English) Zbl 1487.65144 Numer. Algorithms 90, No. 2, 881-903 (2022). MSC: 65M32 65M30 65J20 65M12 65M15 35B45 35B65 35K05 35R30 35R25 26A33 35R11 35Q79 PDF BibTeX XML Cite \textit{S. Yang} et al., Numer. Algorithms 90, No. 2, 881--903 (2022; Zbl 1487.65144) Full Text: DOI OpenURL
Verfürth, Barbara Numerical homogenization for nonlinear strongly monotone problems. (English) Zbl 07524716 IMA J. Numer. Anal. 42, No. 2, 1313-1338 (2022). MSC: 65-XX PDF BibTeX XML Cite \textit{B. Verfürth}, IMA J. Numer. Anal. 42, No. 2, 1313--1338 (2022; Zbl 07524716) Full Text: DOI OpenURL
Manzini, Gianmarco; Mazzia, Annamaria A virtual element generalization on polygonal meshes of the Scott-Vogelius finite element method for the 2-D Stokes problem. (English) Zbl 07524355 J. Comput. Dyn. 9, No. 2, 207-238 (2022). Reviewer: Francesca Gardini (Pavia) MSC: 65N30 65N22 65N12 65N15 76D07 76M10 35B45 35Q35 PDF BibTeX XML Cite \textit{G. Manzini} and \textit{A. Mazzia}, J. Comput. Dyn. 9, No. 2, 207--238 (2022; Zbl 07524355) Full Text: DOI OpenURL
Hirn, Adrian; Wollner, Winnifried An optimal control problem for equations with p-structure and its finite element discretization. (English) Zbl 1487.49025 Herzog, Roland (ed.) et al., Optimization and control for partial differential equations. Uncertainty quantification, open and closed-loop control, and shape optimization. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 29, 137-165 (2022). MSC: 49K20 49M25 65N30 65N12 PDF BibTeX XML Cite \textit{A. Hirn} and \textit{W. Wollner}, Radon Ser. Comput. Appl. Math. 29, 137--165 (2022; Zbl 1487.49025) Full Text: DOI OpenURL
Du, Shaohong; Cai, Zhiqiang A finite element method for Dirichlet boundary control of elliptic partial differential equations. (English) Zbl 1486.49032 Commun. Math. Sci. 20, No. 4, 1081-1102 (2022). MSC: 49K20 49M25 65K10 65N21 65N30 PDF BibTeX XML Cite \textit{S. Du} and \textit{Z. Cai}, Commun. Math. Sci. 20, No. 4, 1081--1102 (2022; Zbl 1486.49032) Full Text: DOI OpenURL
Benkhaldoun, Fayssal; Bradji, Abdallah; Ghoudi, Tarek A finite volume scheme for a wave equation with several time independent delays. (English) Zbl 1487.65127 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, 498-506 (2022). MSC: 65M08 65N08 65M12 65M15 35L20 35R07 PDF BibTeX XML Cite \textit{F. Benkhaldoun} et al., Lect. Notes Comput. Sci. 13127, 498--506 (2022; Zbl 1487.65127) Full Text: DOI OpenURL
Bazarra, N.; Fernández, J. R.; Quintanilla, R. A dual-phase-lag porous-thermoelastic problem with microtemperatures. (English) Zbl 07510632 Electron Res. Arch. 30, No. 4, 1236-1262 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{N. Bazarra} et al., Electron Res. Arch. 30, No. 4, 1236--1262 (2022; Zbl 07510632) Full Text: DOI OpenURL
Bazarra, Noelia; Fernández, José R.; Quintanilla, Ramón Numerical analysis of a problem in micropolar thermoviscoelasticity. (English) Zbl 07510603 Electron Res. Arch. 30, No. 2, 683-700 (2022). MSC: 65N30 35B45 74A35 74D05 74F05 74S05 80A19 35Q74 PDF BibTeX XML Cite \textit{N. Bazarra} et al., Electron Res. Arch. 30, No. 2, 683--700 (2022; Zbl 07510603) Full Text: DOI OpenURL
He, Xiaoxiao; Song, Fei; Deng, Weibing A stabilized nonconforming Nitsche’s extended finite element method for Stokes interface problems. (English) Zbl 07506996 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2849-2871 (2022). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N12 65N15 76D07 76M10 35B45 PDF BibTeX XML Cite \textit{X. He} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2849--2871 (2022; Zbl 07506996) Full Text: DOI OpenURL
Gómez, Sergio; Moiola, Andrea A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation. (English) Zbl 07506905 SIAM J. Numer. Anal. 60, No. 2, 688-714 (2022). Reviewer: Yan Xu (Hefei) MSC: 65M60 78M10 35Q41 65M12 65M15 35B45 35J05 35A01 35A02 PDF BibTeX XML Cite \textit{S. Gómez} and \textit{A. Moiola}, SIAM J. Numer. Anal. 60, No. 2, 688--714 (2022; Zbl 07506905) Full Text: DOI OpenURL
Bazarra, N.; Fernández, J. R.; Quintanilla, R. Numerical approximation of some poro-elastic problems with MGT-type dissipation mechanisms. (English) Zbl 1487.65146 Appl. Numer. Math. 177, 123-136 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 35B45 74B10 74S05 35Q74 PDF BibTeX XML Cite \textit{N. Bazarra} et al., Appl. Numer. Math. 177, 123--136 (2022; Zbl 1487.65146) Full Text: DOI OpenURL
Wang, Wansheng; Huang, Yi; Tang, Jiao Lie-Trotter operator splitting spectral method for linear semiclassical fractional Schrödinger equation. (English) Zbl 07504643 Comput. Math. Appl. 113, 117-129 (2022). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{W. Wang} et al., Comput. Math. Appl. 113, 117--129 (2022; Zbl 07504643) Full Text: DOI OpenURL
Campo, Marco; Copetti, Maria I. M.; Fernández, José R.; Quintanilla, Ramón On existence and numerical approximation in phase-lag thermoelasticity with two temperatures. (English) Zbl 07501093 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2221-2245 (2022). MSC: 35Q74 74H10 74F05 74S05 74S20 80A19 65M12 65M15 65M60 65M06 65N30 35A15 35B65 35B45 35A01 35A02 PDF BibTeX XML Cite \textit{M. Campo} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2221--2245 (2022; Zbl 07501093) Full Text: DOI OpenURL
Peng, Hui; Zhai, Qilong Weak Galerkin method for the Stokes equations with damping. (English) Zbl 1486.65263 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 1853-1875 (2022). MSC: 65N30 65N15 65N12 35B45 35J50 76D07 35Q35 PDF BibTeX XML Cite \textit{H. Peng} and \textit{Q. Zhai}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 1853--1875 (2022; Zbl 1486.65263) Full Text: DOI OpenURL
Liu, Yujie; Yang, Chao VPVnet: a velocity-pressure-vorticity neural network method for the Stokes’ equations under reduced regularity. (English) Zbl 07493177 Commun. Comput. Phys. 31, No. 3, 739-770 (2022). MSC: 76D07 76M25 65N12 65N15 35B45 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{C. Yang}, Commun. Comput. Phys. 31, No. 3, 739--770 (2022; Zbl 07493177) Full Text: DOI arXiv OpenURL
Gong, Wei; Tan, Zhiyu; Zhou, Zhaojie Optimal convergence of finite element approximation to an optimization problem with PDE constraint. (English) Zbl 07489714 Inverse Probl. 38, No. 4, Article ID 045004, 45 p. (2022). MSC: 65N30 49M41 65N12 65N21 65J20 35B45 35B65 35J15 PDF BibTeX XML Cite \textit{W. Gong} et al., Inverse Probl. 38, No. 4, Article ID 045004, 45 p. (2022; Zbl 07489714) Full Text: DOI OpenURL
Langer, Ulrich; Steinbach, Olaf; Yang, Huidong Robust discretization and solvers for elliptic optimal control problems with energy regularization. (English) Zbl 1484.49048 Comput. Methods Appl. Math. 22, No. 1, 97-111 (2022). MSC: 49K20 49M41 35J25 65N12 65N30 65N55 PDF BibTeX XML Cite \textit{U. Langer} et al., Comput. Methods Appl. Math. 22, No. 1, 97--111 (2022; Zbl 1484.49048) Full Text: DOI arXiv OpenURL
Carstensen, Carsten; Nataraj, Neela Lowest-order equivalent nonstandard finite element methods for biharmonic plates. (English) Zbl 1483.65177 ESAIM, Math. Model. Numer. Anal. 56, No. 1, 41-78 (2022). MSC: 65N30 65N12 65N15 65N50 31A30 74K20 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{N. Nataraj}, ESAIM, Math. Model. Numer. Anal. 56, No. 1, 41--78 (2022; Zbl 1483.65177) Full Text: DOI arXiv OpenURL
Feng, Yue; Liu, Yujie; Wang, Ruishu; Zhang, Shangyou A stabilizer-free weak Galerkin finite element method for the Stokes equations. (English) Zbl 07475341 Adv. Appl. Math. Mech. 14, No. 1, 181-201 (2022). MSC: 65N15 65N30 76D07 35B45 35J50 PDF BibTeX XML Cite \textit{Y. Feng} et al., Adv. Appl. Math. Mech. 14, No. 1, 181--201 (2022; Zbl 07475341) Full Text: DOI OpenURL
Dehghan, Mehdi; Gharibi, Zeinab An analysis of weak Galerkin finite element method for a steady state Boussinesq problem. (English) Zbl 1482.35168 J. Comput. Appl. Math. 406, Article ID 114029, 29 p. (2022). MSC: 35Q35 35B45 35B35 35A01 35A02 76D05 76M10 80A19 65N30 65N15 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{Z. Gharibi}, J. Comput. Appl. Math. 406, Article ID 114029, 29 p. (2022; Zbl 1482.35168) Full Text: DOI OpenURL
Guo, Liming; Sheng, Qiwei; Wang, Cheng; Huang, Ziping A modified weak Galerkin finite element method for nonmonotone quasilinear elliptic problems. (English) Zbl 1483.65183 J. Comput. Appl. Math. 406, Article ID 113928, 19 p. (2022). MSC: 65N30 65N15 65N12 35J25 35J62 35B45 PDF BibTeX XML Cite \textit{L. Guo} et al., J. Comput. Appl. Math. 406, Article ID 113928, 19 p. (2022; Zbl 1483.65183) Full Text: DOI OpenURL
Otárola, Enrique Fractional semilinear optimal control: optimality conditions, convergence, and error analysis. (English) Zbl 07463749 SIAM J. Numer. Anal. 60, No. 1, 1-27 (2022). MSC: 65-XX 35R11 49J20 49M25 65K10 65N15 65N30 PDF BibTeX XML Cite \textit{E. Otárola}, SIAM J. Numer. Anal. 60, No. 1, 1--27 (2022; Zbl 07463749) Full Text: DOI arXiv OpenURL
Israwi, Samer; Kalisch, Henrik; Katsaounis, Theodoros; Mitsotakis, Dimitrios A regularized shallow-water waves system with slip-wall boundary conditions in a basin: theory and numerical analysis. (English) Zbl 1481.35331 Nonlinearity 35, No. 1, 750-786 (2022). MSC: 35Q35 76B15 35C08 35B65 35B45 35B40 65M60 65L06 65N30 65M12 65M15 PDF BibTeX XML Cite \textit{S. Israwi} et al., Nonlinearity 35, No. 1, 750--786 (2022; Zbl 1481.35331) Full Text: DOI arXiv OpenURL
Salhi, Loubna; El-Amrani, Mofdi; Seaid, Mohammed A Galerkin-characteristic unified finite element method for moving thermal fronts in porous media. (English) Zbl 07444598 J. Comput. Appl. Math. 404, Article ID 113159, 27 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{L. Salhi} et al., J. Comput. Appl. Math. 404, Article ID 113159, 27 p. (2022; Zbl 07444598) Full Text: DOI OpenURL
Garg, Deepika; Ganesan, Sashikumaar An overlapping local projection stabilization for Galerkin approximations of Stokes and Darcy flow problems. (English) Zbl 07418829 Appl. Numer. Math. 171, 106-127 (2022). MSC: 65N30 65N15 65N12 76S05 76D07 76M10 35B45 35Q35 PDF BibTeX XML Cite \textit{D. Garg} and \textit{S. Ganesan}, Appl. Numer. Math. 171, 106--127 (2022; Zbl 07418829) Full Text: DOI OpenURL
Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou; Zhu, Peng A weak Galerkin least squares finite element method of Cauchy problem for Poisson equation. (English) Zbl 07403085 J. Comput. Appl. Math. 401, Article ID 113767, 9 p. (2022). MSC: 65N30 35B45 35J50 65N12 65N15 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Comput. Appl. Math. 401, Article ID 113767, 9 p. (2022; Zbl 07403085) Full Text: DOI OpenURL
Wang, Fei; Zhao, Jikun Conforming and nonconforming virtual element methods for a Kirchhoff plate contact problem. (English) Zbl 07528284 IMA J. Numer. Anal. 41, No. 2, 1496-1521 (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{F. Wang} and \textit{J. Zhao}, IMA J. Numer. Anal. 41, No. 2, 1496--1521 (2021; Zbl 07528284) Full Text: DOI OpenURL
Lu, Zuliang; Wu, Xiankui; Cai, Fei; Huang, Fei; Liu, Shang; Yang, Yin Error estimates in \(L^2\) and \(L^\infty\) norms of finite volume method for the bilinear elliptic optimal control problem. (English) Zbl 1485.49036 AIMS Math. 6, No. 8, 8585-8599 (2021). MSC: 49M41 49M25 65M08 PDF BibTeX XML Cite \textit{Z. Lu} et al., AIMS Math. 6, No. 8, 8585--8599 (2021; Zbl 1485.49036) Full Text: DOI OpenURL
Suslina, T. A. Homogenization of the higher-order hyperbolic equations with periodic coefficients. (English) Zbl 1486.35031 Lobachevskii J. Math. 42, No. 14, 3518-3542 (2021). MSC: 35B27 35B45 35L20 PDF BibTeX XML Cite \textit{T. A. Suslina}, Lobachevskii J. Math. 42, No. 14, 3518--3542 (2021; Zbl 1486.35031) Full Text: DOI OpenURL
Sayah, Toni; Semaan, Georges; Triki, Faouzi Finite element methods for the Darcy-Forchheimer problem coupled with the convection-diffusion-reaction problem. (English) Zbl 07477257 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2643-2678 (2021). MSC: 65-XX 35K05 74S05 PDF BibTeX XML Cite \textit{T. Sayah} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2643--2678 (2021; Zbl 07477257) Full Text: DOI OpenURL
Lan, Lin; Chen, Ri-hui; Wang, Xiao-dong; Ma, Chen-xia; Fu, Hao-nan Error estimates of finite volume method for Stokes Optimal control problem. (English) Zbl 07464983 J. Inequal. Appl. 2021, Paper No. 4, 13 p. (2021). MSC: 49J20 65N30 PDF BibTeX XML Cite \textit{L. Lan} et al., J. Inequal. Appl. 2021, Paper No. 4, 13 p. (2021; Zbl 07464983) Full Text: DOI OpenURL
Liu, Fanli; Xie, Jinxin; Yang, Tao Robin coefficient inversion problem of variable coefficient heat conduction equation. (Chinese. English summary) Zbl 07448183 Acta Math. Appl. Sin. 44, No. 4, 574-588 (2021). MSC: 35K05 35R30 35D30 35B45 PDF BibTeX XML Cite \textit{F. Liu} et al., Acta Math. Appl. Sin. 44, No. 4, 574--588 (2021; Zbl 07448183) OpenURL
Zhang, Xin; Jin, Yuanfeng; Qiao, Hanyue; Li, Chunhua Crank-Nicolson difference scheme for two dimensional Allen-Cahn equation. (Chinese. English summary) Zbl 07448160 Acta Math. Appl. Sin. 44, No. 2, 238-250 (2021). MSC: 65M06 65M12 65M15 35B45 80A22 35Q79 47H10 PDF BibTeX XML Cite \textit{X. Zhang} et al., Acta Math. Appl. Sin. 44, No. 2, 238--250 (2021; Zbl 07448160) OpenURL
Nakov, S.; Toulopoulos, I. Convergence estimates of finite elements for a class of quasilinear elliptic problems. (English) Zbl 07447589 Comput. Math. Appl. 104, 87-112 (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{S. Nakov} and \textit{I. Toulopoulos}, Comput. Math. Appl. 104, 87--112 (2021; Zbl 07447589) Full Text: DOI OpenURL
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Galerkin spectral methods for an elliptic optimal control problem with \(L^2\)-norm state constraint. (English) Zbl 1475.65044 Commun. Math. Sci. 19, No. 5, 1247-1267 (2021). MSC: 65K10 65N35 49J20 49M41 PDF BibTeX XML Cite \textit{X. Lin} et al., Commun. Math. Sci. 19, No. 5, 1247--1267 (2021; Zbl 1475.65044) Full Text: DOI OpenURL
Wang, Cheng Convergence analysis of Fourier pseudo-spectral schemes for three-dimensional incompressible Navier-Stokes equations. (English) Zbl 1479.35636 Electron Res. Arch. 29, No. 5, 2915-2944 (2021). MSC: 35Q30 35B45 65M12 65M70 65M06 65T40 65D05 65D25 PDF BibTeX XML Cite \textit{C. Wang}, Electron Res. Arch. 29, No. 5, 2915--2944 (2021; Zbl 1479.35636) Full Text: DOI OpenURL
Ye, Xiu; Zhang, Shangyou A weak Galerkin finite element method for \(p\)-Laplacian problem. (English) Zbl 1475.65206 East Asian J. Appl. Math. 11, No. 2, 219-233 (2021). MSC: 65N30 65N15 76D07 35B45 35J50 PDF BibTeX XML Cite \textit{X. Ye} and \textit{S. Zhang}, East Asian J. Appl. Math. 11, No. 2, 219--233 (2021; Zbl 1475.65206) Full Text: DOI OpenURL
Pan, Qing; Rabczuk, Timon; Yang, Xiaofeng Subdivision-based isogeometric analysis for second order partial differential equations on surfaces. (English) Zbl 07432614 Comput. Mech. 68, No. 5, 1205-1221 (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{Q. Pan} et al., Comput. Mech. 68, No. 5, 1205--1221 (2021; Zbl 07432614) Full Text: DOI OpenURL
Dorodnyi, M. A.; Suslina, T. A. Homogenization of nonstationary Maxwell system with constant magnetic permeability. (English. Russian original) Zbl 1478.35020 Funct. Anal. Appl. 55, No. 2, 159-164 (2021); translation from Funkts. Anal. Prilozh. 55, No. 2, 100-106 (2021). MSC: 35B27 35B45 35Q61 PDF BibTeX XML Cite \textit{M. A. Dorodnyi} and \textit{T. A. Suslina}, Funct. Anal. Appl. 55, No. 2, 159--164 (2021; Zbl 1478.35020); translation from Funkts. Anal. Prilozh. 55, No. 2, 100--106 (2021) Full Text: DOI OpenURL
Maity, Ruma Rani; Majumdar, Apala; Nataraj, Neela Error analysis of Nitsche’s and discontinuous Galerkin methods of a reduced Landau-de Gennes problem. (English) Zbl 1473.65312 Comput. Methods Appl. Math. 21, No. 1, 179-209 (2021). MSC: 65N30 35J65 65N15 PDF BibTeX XML Cite \textit{R. R. Maity} et al., Comput. Methods Appl. Math. 21, No. 1, 179--209 (2021; Zbl 1473.65312) Full Text: DOI arXiv OpenURL
Behringer, Niklas Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions. (English) Zbl 1473.49033 Math. Control Relat. Fields 11, No. 2, 313-328 (2021). MSC: 49M25 35Q35 35R06 65N15 65N30 PDF BibTeX XML Cite \textit{N. Behringer}, Math. Control Relat. Fields 11, No. 2, 313--328 (2021; Zbl 1473.49033) Full Text: DOI OpenURL
Peng, Hui; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou A weak Galerkin-mixed finite element method for the Stokes-Darcy problem. (English) Zbl 1477.65239 Sci. China, Math. 64, No. 10, 2357-2380 (2021). MSC: 65N30 65N15 65N12 35B45 35J50 76S05 76D07 35Q35 PDF BibTeX XML Cite \textit{H. Peng} et al., Sci. China, Math. 64, No. 10, 2357--2380 (2021; Zbl 1477.65239) Full Text: DOI arXiv OpenURL
Wang, Lixiu; Li, Huiyuan; Zhang, Zhimin \(H(\mathrm{curl}^2)\)-conforming spectral element method for quad-curl problems. (English) Zbl 1473.65319 Comput. Methods Appl. Math. 21, No. 3, 661-681 (2021). MSC: 65N30 35Q60 65N15 35B45 PDF BibTeX XML Cite \textit{L. Wang} et al., Comput. Methods Appl. Math. 21, No. 3, 661--681 (2021; Zbl 1473.65319) Full Text: DOI OpenURL
Danumjaya, P.; Pany, Ambit Kumar; Pani, Amiya K. Morley FEM for the fourth-order nonlinear reaction-diffusion problems. (English) Zbl 07411571 Comput. Math. Appl. 99, 229-245 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{P. Danumjaya} et al., Comput. Math. Appl. 99, 229--245 (2021; Zbl 07411571) Full Text: DOI OpenURL
Shakya, Pratibha; Sinha, Rajen Kumar Finite element approximations of parabolic optimal control problem with measure data in time. (English) Zbl 1475.49007 Appl. Anal. 100, No. 12, 2706-2734 (2021). MSC: 49J20 49K20 65N15 65N30 PDF BibTeX XML Cite \textit{P. Shakya} and \textit{R. K. Sinha}, Appl. Anal. 100, No. 12, 2706--2734 (2021; Zbl 1475.49007) Full Text: DOI OpenURL
Fuica, Francisco; Otárola, Enrique; Quero, Daniel Error estimates for optimal control problems involving the Stokes system and Dirac measures. (English) Zbl 1473.35440 Appl. Math. Optim. 84, No. 2, 1717-1750 (2021). MSC: 35Q35 35R06 49M25 65N15 65N30 76D07 35B50 35B45 35B65 PDF BibTeX XML Cite \textit{F. Fuica} et al., Appl. Math. Optim. 84, No. 2, 1717--1750 (2021; Zbl 1473.35440) Full Text: DOI arXiv OpenURL
Elasmi, Mehdi; Erath, Christoph; Kurz, Stefan Non-symmetric isogeometric FEM-BEM couplings. (English) Zbl 07402266 Adv. Comput. Math. 47, No. 5, Paper No. 61, 36 p. (2021). MSC: 65N30 65N38 65N12 65N15 65D07 35A01 35A02 35B45 78A55 78M10 78M15 PDF BibTeX XML Cite \textit{M. Elasmi} et al., Adv. Comput. Math. 47, No. 5, Paper No. 61, 36 p. (2021; Zbl 07402266) Full Text: DOI arXiv OpenURL
Mu, Lin; Ye, Xiu; Zhang, Shangyou Development of pressure-robust discontinuous Galerkin finite element methods for the Stokes problem. (English) Zbl 07395838 J. Sci. Comput. 89, No. 1, Paper No. 26, 25 p. (2021). MSC: 65N30 35B45 35J50 65N15 76D07 PDF BibTeX XML Cite \textit{L. Mu} et al., J. Sci. Comput. 89, No. 1, Paper No. 26, 25 p. (2021; Zbl 07395838) Full Text: DOI OpenURL
Hassan, Muhammad; Stamm, Benjamin An integral equation formulation of the \(N\)-body dielectric spheres problem. I: Numerical analysis. (English) Zbl 07395665 ESAIM, Math. Model. Numer. Anal. 55, Suppl., 65-102 (2021). MSC: 65N35 65N30 65N12 65N15 65R20 35B45 PDF BibTeX XML Cite \textit{M. Hassan} and \textit{B. Stamm}, ESAIM, Math. Model. Numer. Anal. 55, 65--102 (2021; Zbl 07395665) Full Text: DOI arXiv OpenURL
Fischer, Julian; Neukamm, Stefan Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems. (English) Zbl 1471.35024 Arch. Ration. Mech. Anal. 242, No. 1, 343-452 (2021). MSC: 35B27 35B45 35J47 35J62 35R60 PDF BibTeX XML Cite \textit{J. Fischer} and \textit{S. Neukamm}, Arch. Ration. Mech. Anal. 242, No. 1, 343--452 (2021; Zbl 1471.35024) Full Text: DOI arXiv OpenURL
Dedner, Andreas; Giesselmann, Jan; Pryer, Tristan; Ryan, Jennifer K. Residual estimates for post-processors in elliptic problems. (English) Zbl 07384720 J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65N50 35J25 35B45 PDF BibTeX XML Cite \textit{A. Dedner} et al., J. Sci. Comput. 88, No. 2, Paper No. 34, 28 p. (2021; Zbl 07384720) Full Text: DOI arXiv OpenURL
Santos, Isaac P.; Malta, Sandra M. C.; Valli, Andrea M. P.; Catabriga, Lucia; Almeida, Regina C. Convergence analysis of a new dynamic diffusion method. (English) Zbl 07384078 Comput. Math. Appl. 98, 1-9 (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{I. P. Santos} et al., Comput. Math. Appl. 98, 1--9 (2021; Zbl 07384078) Full Text: DOI OpenURL
Dorodnyi, M. A.; Suslina, T. A. Homogenization of hyperbolic equations with periodic coefficients in \(\mathbb{R}^d\): sharpness of the results. (English. Russian original) Zbl 1471.35023 St. Petersbg. Math. J. 32, No. 4, 605-703 (2021); translation from Algebra Anal. 32, No. 4, 3-136 (2020). MSC: 35B27 35B45 35J15 35L15 74Q10 PDF BibTeX XML Cite \textit{M. A. Dorodnyi} and \textit{T. A. Suslina}, St. Petersbg. Math. J. 32, No. 4, 605--703 (2021; Zbl 1471.35023); translation from Algebra Anal. 32, No. 4, 3--136 (2020) Full Text: DOI arXiv OpenURL
Beshtokov, M. Kh.; Khudalov, M. Z. Difference methods for solving nonlocal boundary value problems for fractional-order differential convection-diffusion equations with memory effect. (Russian. English summary) Zbl 1486.65093 Dal’nevost. Mat. Zh. 21, No. 1, 3-25 (2021). MSC: 65M06 65N06 65M15 35K05 35B45 35R09 46K05 26A33 35R11 PDF BibTeX XML Cite \textit{M. Kh. Beshtokov} and \textit{M. Z. Khudalov}, Dal'nevost. Mat. Zh. 21, No. 1, 3--25 (2021; Zbl 1486.65093) Full Text: DOI MNR OpenURL
Mu, Lin; Ye, Xiu; Zhang, Shangyou A stabilizer-free, pressure-robust, and superconvergence weak Galerkin finite element method for the Stokes equations on polytopal mesh. (English) Zbl 1486.65259 SIAM J. Sci. Comput. 43, No. 4, A2614-A2637 (2021). MSC: 65N30 65N12 65N15 76D07 35B45 35J50 PDF BibTeX XML Cite \textit{L. Mu} et al., SIAM J. Sci. Comput. 43, No. 4, A2614--A2637 (2021; Zbl 1486.65259) Full Text: DOI arXiv OpenURL
Jang, Yongseok; Shaw, Simon A priori error analysis for a finite element approximation of dynamic viscoelasticity problems involving a fractional order integro-differential constitutive law. (English) Zbl 07379106 Adv. Comput. Math. 47, No. 3, Paper No. 46, 30 p. (2021). MSC: 74S05 45D05 PDF BibTeX XML Cite \textit{Y. Jang} and \textit{S. Shaw}, Adv. Comput. Math. 47, No. 3, Paper No. 46, 30 p. (2021; Zbl 07379106) Full Text: DOI arXiv OpenURL
Huang, Chaobao; Stynes, Martin \( \alpha \)-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation. (English) Zbl 1481.65184 Numer. Algorithms 87, No. 4, 1749-1766 (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M22 65N30 65M12 65M15 31A30 35B45 26A33 35R11 PDF BibTeX XML Cite \textit{C. Huang} and \textit{M. Stynes}, Numer. Algorithms 87, No. 4, 1749--1766 (2021; Zbl 1481.65184) Full Text: DOI OpenURL
Ding, Qi; Zheng, Bo; Shang, Yueqiang Local and parallel finite element algorithms for the time-dependent Oseen equations. (English) Zbl 1475.35228 Numer. Algorithms 87, No. 4, 1653-1677 (2021). MSC: 35Q30 65M15 65N55 65N50 65M60 65M06 65N30 76D07 35B45 65Y05 PDF BibTeX XML Cite \textit{Q. Ding} et al., Numer. Algorithms 87, No. 4, 1653--1677 (2021; Zbl 1475.35228) Full Text: DOI OpenURL
Bao, Xiaobing; Fang, Honglin; Liu, Libin Convergence analysis of an adaptive grid method for a system of singularly perturbed convection diffusion equations. (Chinese. English summary) Zbl 1474.65267 Math. Appl. 34, No. 1, 184-193 (2021). MSC: 65M06 65M50 65M12 35B25 65M15 35B45 PDF BibTeX XML Cite \textit{X. Bao} et al., Math. Appl. 34, No. 1, 184--193 (2021; Zbl 1474.65267) OpenURL
Bazzaev, Alexander K.; Gutnova, Dzerassa K. About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition. (English) Zbl 1473.65266 Sib. Èlektron. Mat. Izv. 18, No. 1, 548-560 (2021). MSC: 65N12 65N06 65N15 PDF BibTeX XML Cite \textit{A. K. Bazzaev} and \textit{D. K. Gutnova}, Sib. Èlektron. Mat. Izv. 18, No. 1, 548--560 (2021; Zbl 1473.65266) Full Text: DOI OpenURL
Lepe, Felipe; Otárola, Enrique; Quero, Daniel Error estimates for FEM discretizations of the Navier-Stokes equations with Dirac measures. (English) Zbl 1471.35235 J. Sci. Comput. 87, No. 3, Paper No. 97, 23 p. (2021). MSC: 35Q35 35Q30 35R06 65N30 65N15 65N50 PDF BibTeX XML Cite \textit{F. Lepe} et al., J. Sci. Comput. 87, No. 3, Paper No. 97, 23 p. (2021; Zbl 1471.35235) Full Text: DOI OpenURL
He, Ling-Bing; Xu, Li On the compressible Navier-Stokes equations in the whole space: from non-isentropic flow to isentropic flow. (English) Zbl 1470.35282 Discrete Contin. Dyn. Syst. 41, No. 7, 3489-3530 (2021). MSC: 35Q35 35B40 35B45 76N10 35A02 PDF BibTeX XML Cite \textit{L.-B. He} and \textit{L. Xu}, Discrete Contin. Dyn. Syst. 41, No. 7, 3489--3530 (2021; Zbl 1470.35282) Full Text: DOI OpenURL
Bukal, Mario Well-posedness and convergence of a numerical scheme for the corrected Derrida-Lebowitz-Speer-Spohn equation using the Hellinger distance. (English) Zbl 1476.65165 Discrete Contin. Dyn. Syst. 41, No. 7, 3389-3414 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M06 65N06 65M12 65M15 35B45 35A01 35A02 35D30 82C31 35Q82 PDF BibTeX XML Cite \textit{M. Bukal}, Discrete Contin. Dyn. Syst. 41, No. 7, 3389--3414 (2021; Zbl 1476.65165) Full Text: DOI arXiv OpenURL
Feng, Yue; Liu, Yujie; Wang, Ruishu; Zhang, Shangyou A conforming discontinuous Galerkin finite element method on rectangular partitions. (English) Zbl 1478.65122 Electron Res. Arch. 29, No. 3, 2375-2389 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65N12 35B45 35J50 35J15 PDF BibTeX XML Cite \textit{Y. Feng} et al., Electron Res. Arch. 29, No. 3, 2375--2389 (2021; Zbl 1478.65122) Full Text: DOI OpenURL
Wang, Chunmei; Zikatanov, Ludmil Low regularity primal-dual weak Galerkin finite element methods for convection-diffusion equations. (English) Zbl 1467.65114 J. Comput. Appl. Math. 394, Article ID 113543, 18 p. (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 PDF BibTeX XML Cite \textit{C. Wang} and \textit{L. Zikatanov}, J. Comput. Appl. Math. 394, Article ID 113543, 18 p. (2021; Zbl 1467.65114) Full Text: DOI arXiv OpenURL
Van Thang, Nguyen; Van Duc, Nguyen; Minh, Luong Duy Nhat; Thành, Nguyen Trung Identifying an unknown source term in a time-space fractional parabolic equation. (English) Zbl 1475.65112 Appl. Numer. Math. 166, 313-332 (2021). MSC: 65M32 65M15 65M12 65T50 35B45 26A33 35R11 35R30 PDF BibTeX XML Cite \textit{N. Van Thang} et al., Appl. Numer. Math. 166, 313--332 (2021; Zbl 1475.65112) Full Text: DOI OpenURL
Carstensen, Carsten; Tran, Tien Unstabilized hybrid high-order method for a class of degenerate convex minimization problems. (English) Zbl 1473.65292 SIAM J. Numer. Anal. 59, No. 3, 1348-1373 (2021). MSC: 65N30 65N12 65N15 65N50 65K10 65Y20 PDF BibTeX XML Cite \textit{C. Carstensen} and \textit{T. Tran}, SIAM J. Numer. Anal. 59, No. 3, 1348--1373 (2021; Zbl 1473.65292) Full Text: DOI arXiv OpenURL
Bürger, Raimund; Kumar, Sarvesh; Mora, David; Ruiz-Baier, Ricardo; Verma, Nitesh Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. (English) Zbl 1469.65146 Adv. Comput. Math. 47, No. 1, Paper No. 2, 37 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M15 74F10 74L15 74N10 74B10 76S05 35K57 35B45 PDF BibTeX XML Cite \textit{R. Bürger} et al., Adv. Comput. Math. 47, No. 1, Paper No. 2, 37 p. (2021; Zbl 1469.65146) Full Text: DOI arXiv OpenURL
Dutta, Jogen; Deka, Bhupen Optimal a priori error estimates for the finite element approximation of dual-phase-lag bio heat model in heterogeneous medium. (English) Zbl 1472.65120 J. Sci. Comput. 87, No. 2, Paper No. 58, 32 p. (2021). MSC: 65M60 65M06 65N30 65M15 35L05 35B45 92C05 35Q79 35Q92 PDF BibTeX XML Cite \textit{J. Dutta} and \textit{B. Deka}, J. Sci. Comput. 87, No. 2, Paper No. 58, 32 p. (2021; Zbl 1472.65120) Full Text: DOI OpenURL
Coelho, Karolinne O.; Devloo, Philippe R. B.; Gomes, Sônia M. Error estimates for the scaled boundary finite element method. (English) Zbl 07340368 Comput. Methods Appl. Mech. Eng. 379, Article ID 113765, 29 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{K. O. Coelho} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113765, 29 p. (2021; Zbl 07340368) Full Text: DOI arXiv OpenURL
Baccouch, Mahboub Analysis of optimal superconvergence of the local discontinuous Galerkin method for nonlinear fourth-order boundary value problems. (English) Zbl 1471.65086 Numer. Algorithms 86, No. 4, 1615-1650 (2021). MSC: 65L10 65L20 65L60 65L70 PDF BibTeX XML Cite \textit{M. Baccouch}, Numer. Algorithms 86, No. 4, 1615--1650 (2021; Zbl 1471.65086) Full Text: DOI OpenURL
Burman, Erik; Cicuttin, Matteo; Delay, Guillaume; Ern, Alexandre An unfitted hybrid high-order method with cell agglomeration for elliptic interface problems. (English) Zbl 1475.65186 SIAM J. Sci. Comput. 43, No. 2, A859-A882 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65N30 65N15 65N12 65N85 35J05 PDF BibTeX XML Cite \textit{E. Burman} et al., SIAM J. Sci. Comput. 43, No. 2, A859--A882 (2021; Zbl 1475.65186) Full Text: DOI OpenURL
Henning, Patrick; Wärnegård, Johan A note on optimal \(H^1\)-error estimates for Crank-Nicolson approximations to the nonlinear Schrödinger equation. (English) Zbl 1460.35326 BIT 61, No. 1, 37-59 (2021). MSC: 35Q55 65M60 65M06 65M15 65M12 65N30 65H10 35B45 81Q05 PDF BibTeX XML Cite \textit{P. Henning} and \textit{J. Wärnegård}, BIT 61, No. 1, 37--59 (2021; Zbl 1460.35326) Full Text: DOI arXiv OpenURL
Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel A priori error analysis of a numerical stochastic homogenization method. (English) Zbl 07326332 SIAM J. Numer. Anal. 59, No. 2, 660-674 (2021). MSC: 65N30 65N75 65N99 65N12 65N15 60H35 35R60 35B27 74Q05 PDF BibTeX XML Cite \textit{J. Fischer} et al., SIAM J. Numer. Anal. 59, No. 2, 660--674 (2021; Zbl 07326332) Full Text: DOI arXiv OpenURL
Kadiri, Mostafa; Louaked, Mohammed; Mechkour, Houari Hydrodynamic design optimization using non stationary porous media model. (English) Zbl 1458.35336 J. Comput. Appl. Math. 386, Article ID 113193, 45 p. (2021). MSC: 35Q35 35B45 76D55 49Q10 65M60 65M06 65N30 65M15 65M12 76M10 76M20 PDF BibTeX XML Cite \textit{M. Kadiri} et al., J. Comput. Appl. Math. 386, Article ID 113193, 45 p. (2021; Zbl 1458.35336) Full Text: DOI OpenURL
Tuan, Nguyen Huy; Caraballo, Tomás On initial and terminal value problems for fractional nonclassical diffusion equations. (English) Zbl 1456.35222 Proc. Am. Math. Soc. 149, No. 1, 143-161 (2021). MSC: 35R11 35K70 26A33 35B65 35B45 35R25 PDF BibTeX XML Cite \textit{N. H. Tuan} and \textit{T. Caraballo}, Proc. Am. Math. Soc. 149, No. 1, 143--161 (2021; Zbl 1456.35222) Full Text: DOI OpenURL
Wang, Bin; Mu, Lin Viscosity robust weak Galerkin finite element methods for Stokes problems. (English) Zbl 1456.65168 Electron Res. Arch. 29, No. 1, 1881-1895 (2021). MSC: 65N30 65N15 35B45 35J50 35J35 76D07 35Q35 PDF BibTeX XML Cite \textit{B. Wang} and \textit{L. Mu}, Electron Res. Arch. 29, No. 1, 1881--1895 (2021; Zbl 1456.65168) Full Text: DOI OpenURL
Gahn, Markus; Jäger, Willi; Neuss-Radu, Maria Correctors and error estimates for reaction-diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion. (English) Zbl 1450.35038 J. Comput. Appl. Math. 383, Article ID 113126, 29 p. (2021). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35K57 35C20 35B45 PDF BibTeX XML Cite \textit{M. Gahn} et al., J. Comput. Appl. Math. 383, Article ID 113126, 29 p. (2021; Zbl 1450.35038) Full Text: DOI arXiv OpenURL
Manimaran, J.; Shangerganesh, L.; Debbouche, Amar Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy. (English) Zbl 1446.65116 J. Comput. Appl. Math. 382, Article ID 113066, 10 p. (2021). MSC: 65M60 65N30 65M06 65M12 65M15 35R11 26A33 35B45 74H10 PDF BibTeX XML Cite \textit{J. Manimaran} et al., J. Comput. Appl. Math. 382, Article ID 113066, 10 p. (2021; Zbl 1446.65116) Full Text: DOI OpenURL
Mahoui, Sihem; Moulay, Mohamed Said; Omrane, Abdennebi Finite element approach to linear parabolic pointwise control problems of incomplete data. (English) Zbl 1483.49047 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 14, 2597-2609 (2020). MSC: 49N30 65M60 65L60 PDF BibTeX XML Cite \textit{S. Mahoui} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 14, 2597--2609 (2020; Zbl 1483.49047) Full Text: DOI OpenURL
Hu, Qingjie; He, Yinnian; Wang, Kun Weak Galerkin method for the Helmholtz equation with DtN boundary condition. (English) Zbl 1471.65197 Int. J. Numer. Anal. Model. 17, No. 5, 643-661 (2020). MSC: 65N30 35B45 65N15 PDF BibTeX XML Cite \textit{Q. Hu} et al., Int. J. Numer. Anal. Model. 17, No. 5, 643--661 (2020; Zbl 1471.65197) Full Text: Link OpenURL
Galdava, Romeo; Gulua, David; Rogava, Jemal Study of three-layer semi-discrete schemes for second order evolution equations by Chebyshev polynomials. (English) Zbl 1477.65167 Jaiani, George (ed.) et al., Applications of mathematics and informatics in natural sciences and engineering, AMINSE 2019. Selected papers based on the presentations at the 4th conference, Tbilisi, Georgia, September 23–26, 2019. Cham: Springer. Springer Proc. Math. Stat. 334, 153-196 (2020). MSC: 65M70 35L10 65M15 PDF BibTeX XML Cite \textit{R. Galdava} et al., Springer Proc. Math. Stat. 334, 153--196 (2020; Zbl 1477.65167) Full Text: DOI OpenURL
Merino, Pedro; Nenjer, Alexander Error estimates for the FEM approximation of optimal sparse control of elliptic equations with pointwise state constraints and finite-dimensional control space. (English) Zbl 1477.65234 Optim. Control Appl. Methods 41, No. 5, 1451-1476 (2020). MSC: 65N30 65N15 35B45 49M41 PDF BibTeX XML Cite \textit{P. Merino} and \textit{A. Nenjer}, Optim. Control Appl. Methods 41, No. 5, 1451--1476 (2020; Zbl 1477.65234) Full Text: DOI OpenURL
Zhou, Zhaojie; Song, Jiabin; Chen, Yanping Finite element approximation of space fractional optimal control problem with integral state constraint. (English) Zbl 1474.65453 Numer. Math., Theory Methods Appl. 13, No. 4, 1027-1049 (2020). MSC: 65N30 65K10 26A33 35R11 65N15 15B05 35B45 49M41 49J20 PDF BibTeX XML Cite \textit{Z. Zhou} et al., Numer. Math., Theory Methods Appl. 13, No. 4, 1027--1049 (2020; Zbl 1474.65453) Full Text: DOI OpenURL
Artioli, Edoardo; De Miranda, Stefano; Lovadina, Carlo; Patruno, Luca A dual hybrid virtual element method for plane elasticity problems. (English) Zbl 1482.65210 ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725-1750 (2020). Reviewer: Lijun Yi (Shanghai) MSC: 65N30 65N15 65N12 35B45 74B10 74K10 PDF BibTeX XML Cite \textit{E. Artioli} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725--1750 (2020; Zbl 1482.65210) Full Text: DOI arXiv OpenURL