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 PDFBibTeX XMLCite \textit{C. Carstensen} and \textit{T. Tran}, SIAM J. Numer. Anal. 59, No. 3, 1348--1373 (2021; Zbl 1473.65292) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{R. Bürger} et al., Adv. Comput. Math. 47, No. 1, Paper No. 2, 37 p. (2021; Zbl 1469.65146) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Coelho, Karolinne O.; Devloo, Philippe R. B.; Gomes, Sônia M. Error estimates for the scaled boundary finite element method. (English) Zbl 1506.65239 Comput. Methods Appl. Mech. Eng. 379, Article ID 113765, 29 p. (2021). MSC: 65N38 65N15 PDFBibTeX XMLCite \textit{K. O. Coelho} et al., Comput. Methods Appl. Mech. Eng. 379, Article ID 113765, 29 p. (2021; Zbl 1506.65239) Full Text: DOI arXiv
Niño-Celis, Viviana; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. Convergence and positivity of finite element methods for a haptotaxis model of tumoral invasion. (English) Zbl 1524.92022 Comput. Math. Appl. 89, 20-33 (2021). MSC: 92C17 92C32 35Q92 35K57 35B45 65M60 PDFBibTeX XMLCite \textit{V. Niño-Celis} et al., Comput. Math. Appl. 89, 20--33 (2021; Zbl 1524.92022) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Baccouch}, Numer. Algorithms 86, No. 4, 1615--1650 (2021; Zbl 1471.65086) Full Text: DOI
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 PDFBibTeX XMLCite \textit{E. Burman} et al., SIAM J. Sci. Comput. 43, No. 2, A859--A882 (2021; Zbl 1475.65186) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Henning} and \textit{J. Wärnegård}, BIT 61, No. 1, 37--59 (2021; Zbl 1460.35326) Full Text: DOI arXiv
Fischer, Julian; Gallistl, Dietmar; Peterseim, Daniel A priori error analysis of a numerical stochastic homogenization method. (English) Zbl 1509.65113 SIAM J. Numer. Anal. 59, No. 2, 660-674 (2021). MSC: 65N30 65N75 65N99 65N12 65N15 60H35 35R60 35B27 74Q05 PDFBibTeX XMLCite \textit{J. Fischer} et al., SIAM J. Numer. Anal. 59, No. 2, 660--674 (2021; Zbl 1509.65113) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Kadiri} et al., J. Comput. Appl. Math. 386, Article ID 113193, 45 p. (2021; Zbl 1458.35336) Full Text: DOI
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 PDFBibTeX XMLCite \textit{N. H. Tuan} and \textit{T. Caraballo}, Proc. Am. Math. Soc. 149, No. 1, 143--161 (2021; Zbl 1456.35222) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Wang} and \textit{L. Mu}, Electron. Res. Arch. 29, No. 1, 1881--1895 (2021; Zbl 1456.65168) Full Text: DOI
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 PDFBibTeX XMLCite \textit{M. Gahn} et al., J. Comput. Appl. Math. 383, Article ID 113126, 29 p. (2021; Zbl 1450.35038) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Manimaran} et al., J. Comput. Appl. Math. 382, Article ID 113066, 10 p. (2021; Zbl 1446.65116) Full Text: DOI
Cao, Waixiang; Wang, Junping; Xu, Yuesheng An \(L^p\)-weak Galerkin method for second order elliptic equations in non-divergence form. arXiv:2106.03191 Preprint, arXiv:2106.03191 [math.NA] (2021). MSC: 65N30 65N12 65N15 35J15 35B45 BibTeX Cite \textit{W. Cao} et al., ``An $L^p$-weak Galerkin method for second order elliptic equations in non-divergence form'', Preprint, arXiv:2106.03191 [math.NA] (2021) Full Text: arXiv OA License
Salhi, Loubna; El-Amrani, Mofdi; Seaid, Mohammed Analysis of a Galerkin-characteristic finite element method for convection-diffusion problems in porous media. (English) Zbl 07732664 Adv. Pure Appl. Math. 12, No. 3, 96-122 (2021). MSC: 65M60 65M12 76S05 PDFBibTeX XMLCite \textit{L. Salhi} et al., Adv. Pure Appl. Math. 12, No. 3, 96--122 (2020; Zbl 07732664) Full Text: DOI
Xu, C. A priori error estimates and superconvergence of splitting positive definite mixed finite element methods for pseudo-hyperbolic integro-differential optimal control problems. (Russian. English summary) Zbl 1501.65133 Sib. Zh. Vychisl. Mat. 23, No. 1, 23-37 (2020). MSC: 65N30 65N15 65N12 49J20 45K05 35R09 93C20 PDFBibTeX XMLCite \textit{C. Xu}, Sib. Zh. Vychisl. Mat. 23, No. 1, 23--37 (2020; Zbl 1501.65133) Full Text: DOI MNR
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{Q. Hu} et al., Int. J. Numer. Anal. Model. 17, No. 5, 643--661 (2020; Zbl 1471.65197) Full Text: Link
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 PDFBibTeX XMLCite \textit{R. Galdava} et al., Springer Proc. Math. Stat. 334, 153--196 (2020; Zbl 1477.65167) Full Text: DOI
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 PDFBibTeX XMLCite \textit{P. Merino} and \textit{A. Nenjer}, Optim. Control Appl. Methods 41, No. 5, 1451--1476 (2020; Zbl 1477.65234) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Z. Zhou} et al., Numer. Math., Theory Methods Appl. 13, No. 4, 1027--1049 (2020; Zbl 1474.65453) Full Text: DOI
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 PDFBibTeX XMLCite \textit{E. Artioli} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 5, 1725--1750 (2020; Zbl 1482.65210) Full Text: DOI arXiv
Baccouch, Mahboub A superconvergent local discontinuous Galerkin method for nonlinear fourth-order boundary-value problems. (English) Zbl 07336570 Int. J. Comput. Methods 17, No. 7, Article ID 1950035, 31 p. (2020). MSC: 65L10 65L20 65L60 65L70 PDFBibTeX XMLCite \textit{M. Baccouch}, Int. J. Comput. Methods 17, No. 7, Article ID 1950035, 31 p. (2020; Zbl 07336570) Full Text: DOI
Lu, Zuliang; Huang, Fei; Lin, Li; Cai, Fei; Yang, Yin A priori and posteriori error estimates of Legendre Galerkin spectral methods for general elliptic optimal control problems. (English) Zbl 1461.49006 J. Math. Inequal. 14, No. 4, 989-1006 (2020). MSC: 49J20 65N30 PDFBibTeX XMLCite \textit{Z. Lu} et al., J. Math. Inequal. 14, No. 4, 989--1006 (2020; Zbl 1461.49006) Full Text: DOI
Devaud, Denis Petrov-Galerkin space-time \(hp\)-approximation of parabolic equations in \(H^{1/2}\). (English) Zbl 1466.65126 IMA J. Numer. Anal. 40, No. 4, 2717-2745 (2020). MSC: 65M60 65M15 65M12 35R11 PDFBibTeX XMLCite \textit{D. Devaud}, IMA J. Numer. Anal. 40, No. 4, 2717--2745 (2020; Zbl 1466.65126) Full Text: DOI
Antonopoulou, Dimitra C. Space-time discontinuous Galerkin methods for the \(\varepsilon\)-dependent stochastic Allen-Cahn equation with mild noise. (English) Zbl 1466.65119 IMA J. Numer. Anal. 40, No. 3, 2076-2105 (2020). MSC: 65M60 65M15 60H40 60H15 65M75 35R60 PDFBibTeX XMLCite \textit{D. C. Antonopoulou}, IMA J. Numer. Anal. 40, No. 3, 2076--2105 (2020; Zbl 1466.65119) Full Text: DOI
Hansbo, Peter; Larson, Mats G.; Larsson, Karl Analysis of finite element methods for vector Laplacians on surfaces. (English) Zbl 1466.65190 IMA J. Numer. Anal. 40, No. 3, 1652-1701 (2020). MSC: 65N30 65N15 74K15 74K25 PDFBibTeX XMLCite \textit{P. Hansbo} et al., IMA J. Numer. Anal. 40, No. 3, 1652--1701 (2020; Zbl 1466.65190) Full Text: DOI arXiv
Gong, Wei; Liu, Wenbin; Tan, Zhiyu; Yan, Ningning Corrigendum to: “A convergent adaptive finite element method for elliptic Dirichlet boundary control problems”. (English) Zbl 1469.65164 IMA J. Numer. Anal. 40, No. 1, 800 (2020). MSC: 65N30 65N50 65N12 65N15 65K10 35B45 49M25 49J10 PDFBibTeX XMLCite \textit{W. Gong} et al., IMA J. Numer. Anal. 40, No. 1, 800 (2020; Zbl 1469.65164) Full Text: DOI
Dione, Ibrahima Optimal error estimates of the unilateral contact problem in a curved and smooth boundary domain by the penalty method. (English) Zbl 1462.65184 IMA J. Numer. Anal. 40, No. 1, 729-763 (2020). MSC: 65N30 74B10 PDFBibTeX XMLCite \textit{I. Dione}, IMA J. Numer. Anal. 40, No. 1, 729--763 (2020; Zbl 1462.65184) Full Text: DOI
Mora, David; Rivera, Gonzalo A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. (English) Zbl 1466.65197 IMA J. Numer. Anal. 40, No. 1, 322-357 (2020). MSC: 65N30 65N25 65N50 65N15 74B05 74H45 35Q74 PDFBibTeX XMLCite \textit{D. Mora} and \textit{G. Rivera}, IMA J. Numer. Anal. 40, No. 1, 322--357 (2020; Zbl 1466.65197) Full Text: DOI arXiv
Gudi, Thirupathi; Sau, Ramesh Ch. Finite element analysis of the constrained Dirichlet boundary control problem governed by the diffusion problem. (English) Zbl 1460.65147 ESAIM, Control Optim. Calc. Var. 26, Paper No. 78, 19 p. (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N12 65K10 35B45 35B65 35J05 74M10 74M15 35Q74 PDFBibTeX XMLCite \textit{T. Gudi} and \textit{R. Ch. Sau}, ESAIM, Control Optim. Calc. Var. 26, Paper No. 78, 19 p. (2020; Zbl 1460.65147) Full Text: DOI
Hu, Kaibo; Zhang, Qian; Zhang, Zhimin Simple curl-curl-conforming finite elements in two dimensions. (English) Zbl 1458.65148 SIAM J. Sci. Comput. 42, No. 6, A3859-A3877 (2020). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 35Q60 65N15 35B45 78M10 58A12 PDFBibTeX XMLCite \textit{K. Hu} et al., SIAM J. Sci. Comput. 42, No. 6, A3859--A3877 (2020; Zbl 1458.65148) Full Text: DOI arXiv
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Sánchez, Nestor A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations. (English) Zbl 1456.65155 J. Sci. Comput. 85, No. 2, Paper No. 44, 36 p. (2020). MSC: 65N30 65N12 65N15 80A19 76S05 76R05 76R50 76D07 35B45 35A01 35A02 35Q79 35Q35 PDFBibTeX XMLCite \textit{S. Caucao} et al., J. Sci. Comput. 85, No. 2, Paper No. 44, 36 p. (2020; Zbl 1456.65155) Full Text: DOI
Barrios, Tomás P.; Bustinza, Rommel An a-priori error analysis for discontinuous Lagrangian finite elements applied to nonconforming dual-mixed formulations: Poisson and Stokes problems. (English) Zbl 1452.65321 ETNA, Electron. Trans. Numer. Anal. 52, 455-479 (2020). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{T. P. Barrios} and \textit{R. Bustinza}, ETNA, Electron. Trans. Numer. Anal. 52, 455--479 (2020; Zbl 1452.65321) Full Text: DOI Link
Shen, Yue; Jin, Chang Decoupled mixed element methods for fourth order elliptic optimal control problems with control constraints. (English) Zbl 1463.65376 Numer. Math., Theory Methods Appl. 13, No. 2, 400-432 (2020). MSC: 65N30 65N15 49J20 31A30 49M41 65K15 PDFBibTeX XMLCite \textit{Y. Shen} and \textit{C. Jin}, Numer. Math., Theory Methods Appl. 13, No. 2, 400--432 (2020; Zbl 1463.65376) Full Text: DOI
Wen, Jin; Ren, Xuejuan The simultaneous determination of initial value and source term in the heat conduction problem by mollification method. (English) Zbl 1463.65272 J. Northwest Norm. Univ., Nat. Sci. 56, No. 4, 8-14 (2020). MSC: 65M30 65M32 65M15 35K05 35B45 35R25 35R30 PDFBibTeX XMLCite \textit{J. Wen} and \textit{X. Ren}, J. Northwest Norm. Univ., Nat. Sci. 56, No. 4, 8--14 (2020; Zbl 1463.65272) Full Text: DOI
Von, Daniels Nikolaus; Hinze, Michael Variational discretization of a control-constrained parabolic bang-bang optimal control problem. (English) Zbl 1463.49047 J. Comput. Math. 38, No. 1, 14-40 (2020). MSC: 49M25 49M05 49J20 49J30 PDFBibTeX XMLCite \textit{D. N. Von} and \textit{M. Hinze}, J. Comput. Math. 38, No. 1, 14--40 (2020; Zbl 1463.49047) Full Text: DOI arXiv
Zhao, Zhenyu; Lin, Riguang; Li, Zhi; Mei, Duan A super order regularization method for determination of an unknown source in the heat equation. (Chinese. English summary) Zbl 1463.65273 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 717-724 (2020). MSC: 65M30 35K05 65M15 35B45 65J20 65M32 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 717--724 (2020; Zbl 1463.65273)
Chaskalovic, Joël; Assous, Franck A new mixed functional-probabilistic approach for finite element accuracy. (English) Zbl 1451.65177 Comput. Methods Appl. Math. 20, No. 4, 799-813 (2020). MSC: 65N15 65N75 65N30 PDFBibTeX XMLCite \textit{J. Chaskalovic} and \textit{F. Assous}, Comput. Methods Appl. Math. 20, No. 4, 799--813 (2020; Zbl 1451.65177) Full Text: DOI arXiv
Gürkan, Ceren; Sticko, Simon; Massing, André Stabilized cut discontinuous Galerkin methods for advection-reaction problems. (English) Zbl 1451.65191 SIAM J. Sci. Comput. 42, No. 5, A2620-A2654 (2020). MSC: 65N30 65N12 65N15 65N85 PDFBibTeX XMLCite \textit{C. Gürkan} et al., SIAM J. Sci. Comput. 42, No. 5, A2620--A2654 (2020; Zbl 1451.65191) Full Text: DOI arXiv
Wen, Jing; Su, Jian; He, Yinnian; Chen, Hongbin A discontinuous Galerkin method for the coupled Stokes and Darcy problem. (English) Zbl 1451.65205 J. Sci. Comput. 85, No. 2, Paper No. 26, 26 p. (2020). MSC: 65N30 76S05 76D07 76M10 PDFBibTeX XMLCite \textit{J. Wen} et al., J. Sci. Comput. 85, No. 2, Paper No. 26, 26 p. (2020; Zbl 1451.65205) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Linke} et al., ETNA, Electron. Trans. Numer. Anal. 52, 281--294 (2020; Zbl 1446.65146) Full Text: DOI arXiv Link
Beshtokov, M. H.; Khudalov, M. Z. Difference methods of the solution of local and non-local boundary value problems for loaded equation of thermal conductivity of fractional order. (English) Zbl 1452.80019 Tarasyev, Alexander (ed.) et al., Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16–20, 2019. Cham: Springer. Lect. Notes Control Inf. Sci. – Proc., 187-201 (2020). MSC: 80M20 35B45 65M06 65M12 65M15 35R11 26A33 35Q79 PDFBibTeX XMLCite \textit{M. H. Beshtokov} and \textit{M. Z. Khudalov}, in: Stability, control and differential games. Proceedings of the international conference on stability, control and differential games (SCDG2019), Yekaterinburg, Russia, September 16--20, 2019. Cham: Springer. 187--201 (2020; Zbl 1452.80019) Full Text: DOI
Wang, Chunmei; Wang, Junping A primal-dual weak Galerkin finite element method for Fokker-Planck type equations. (English) Zbl 1466.65206 SIAM J. Numer. Anal. 58, No. 5, 2632-2661 (2020). Reviewer: Andreas Mang (Houston) MSC: 65N30 65N15 65N12 74N20 35B45 35J50 35J35 35Q84 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Wang}, SIAM J. Numer. Anal. 58, No. 5, 2632--2661 (2020; Zbl 1466.65206) Full Text: DOI arXiv
Ye, Xiu; Zhang, Shangyou A stabilizer free weak Galerkin method for the biharmonic equation on polytopal meshes. (English) Zbl 1452.65362 SIAM J. Numer. Anal. 58, No. 5, 2572-2588 (2020). MSC: 65N30 65N15 31A30 35J35 35J40 35B45 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, SIAM J. Numer. Anal. 58, No. 5, 2572--2588 (2020; Zbl 1452.65362) Full Text: DOI arXiv
Zhang, Shun Robust and local optimal a priori error estimates for interface problems with low regularity: mixed finite element approximations. (English) Zbl 1448.35500 J. Sci. Comput. 84, No. 2, Paper No. 40, 16 p. (2020). MSC: 35Q68 35J25 35B45 35B65 65N30 65N15 65J10 PDFBibTeX XMLCite \textit{S. Zhang}, J. Sci. Comput. 84, No. 2, Paper No. 40, 16 p. (2020; Zbl 1448.35500) Full Text: DOI arXiv
Bazarra, Noelia; Fernández, José R.; Leseduarte, Mari Carme; Magaña, Antonio; Quintanilla, Ramón On the linear thermoelasticity with two porosities: numerical aspects. (English) Zbl 07244838 Int. J. Numer. Anal. Model. 17, No. 2, 172-194 (2020). MSC: 65-XX PDFBibTeX XMLCite \textit{N. Bazarra} et al., Int. J. Numer. Anal. Model. 17, No. 2, 172--194 (2020; Zbl 07244838) Full Text: Link
Zhang, Tong; Duan, Mengmeng One-level and multilevel space-time finite element method for the viscoelastic Kelvin-Voigt model. (English) Zbl 1446.65122 Math. Methods Appl. Sci. 43, No. 7, 4744-4768 (2020). MSC: 65M60 65M22 65M15 65M12 65H10 35B40 35B45 76A10 35Q35 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{M. Duan}, Math. Methods Appl. Sci. 43, No. 7, 4744--4768 (2020; Zbl 1446.65122) Full Text: DOI
Almonacid, Javier A.; Gatica, Gabriel N.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo A new mixed finite element method for the \(n\)-dimensional Boussinesq problem with temperature-dependent viscosity. (English) Zbl 1446.65155 Netw. Heterog. Media 15, No. 2, 215-245 (2020). MSC: 65N30 65N12 65N15 35Q79 80A19 76R05 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{J. A. Almonacid} et al., Netw. Heterog. Media 15, No. 2, 215--245 (2020; Zbl 1446.65155) Full Text: DOI
Asadzadeh, Mohammad; Beilina, Larisa Convergence of stabilized \(P_1\) finite element scheme for time harmonic Maxwell’s equations. (English) Zbl 1446.65158 Beilina, Larisa (ed.) et al., Mathematical and numerical approaches for multi-wave inverse problems. Selected papers based on the presentations at the conference, CIRM, Marseille, France, April 1–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 328, 33-43 (2020). MSC: 65N30 78M10 65N12 65N15 35B45 35Q61 PDFBibTeX XMLCite \textit{M. Asadzadeh} and \textit{L. Beilina}, Springer Proc. Math. Stat. 328, 33--43 (2020; Zbl 1446.65158) Full Text: DOI arXiv
Frei, S.; Richter, T. Efficient approximation of flow problems with multiple scales in time. (English) Zbl 1446.65065 Multiscale Model. Simul. 18, No. 2, 942-969 (2020). MSC: 65M06 65N30 65M12 65L20 65L70 76D05 35B45 35Q30 PDFBibTeX XMLCite \textit{S. Frei} and \textit{T. Richter}, Multiscale Model. Simul. 18, No. 2, 942--969 (2020; Zbl 1446.65065) Full Text: DOI arXiv
Demkowicz, Leszek; Gopalakrishnan, Jay; Keith, Brendan The DPG-star method. (English) Zbl 1447.65133 Comput. Math. Appl. 79, No. 11, 3092-3116 (2020). MSC: 65N30 65F20 65N12 65N15 35B45 35N25 PDFBibTeX XMLCite \textit{L. Demkowicz} et al., Comput. Math. Appl. 79, No. 11, 3092--3116 (2020; Zbl 1447.65133) Full Text: DOI arXiv
Bonito, Andrea; Demlow, Alan; Nochetto, Ricardo H. Finite element methods for the Laplace-Beltrami operator. (English) Zbl 1455.35187 Bonito, Andrea (ed.) et al., Geometric partial differential equations. Part I. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 21, 1-103 (2020). MSC: 35Q35 76D07 35B45 35B65 35J05 58J05 65N30 65N15 PDFBibTeX XMLCite \textit{A. Bonito} et al., Handb. Numer. Anal. 21, 1--103 (2020; Zbl 1455.35187) Full Text: DOI arXiv
Karaa, Samir; Pani, Amiya K. Mixed FEM for time-fractional diffusion problems with time-dependent coefficients. (English) Zbl 1442.65261 J. Sci. Comput. 83, No. 3, Paper No. 51, 22 p. (2020). MSC: 65M60 65N30 65M06 65M12 65M15 65M70 35S10 35B45 26A33 35R11 PDFBibTeX XMLCite \textit{S. Karaa} and \textit{A. K. Pani}, J. Sci. Comput. 83, No. 3, Paper No. 51, 22 p. (2020; Zbl 1442.65261) Full Text: DOI
Almani, T.; Manea, A.; Kumar, K.; Dogru, A. H. Convergence of the undrained split iterative scheme for coupling flow with geomechanics in heterogeneous poroelastic media. (English) Zbl 1434.76120 Comput. Geosci. 24, No. 2, 551-569 (2020). MSC: 76S05 86A05 PDFBibTeX XMLCite \textit{T. Almani} et al., Comput. Geosci. 24, No. 2, 551--569 (2020; Zbl 1434.76120) Full Text: DOI Link
Beshtokova, Z. V. Locally one-dimensional difference scheme for a nonlocal boundary value problem for a parabolic equation in a multidimensional domain. (English. Russian original) Zbl 1440.65083 Differ. Equ. 56, No. 3, 354-368 (2020); translation from Differ. Uravn. 56, No. 3, 366-379 (2020). MSC: 65M06 65M12 65M15 35B45 PDFBibTeX XMLCite \textit{Z. V. Beshtokova}, Differ. Equ. 56, No. 3, 354--368 (2020; Zbl 1440.65083); translation from Differ. Uravn. 56, No. 3, 366--379 (2020) Full Text: DOI
Zhang, Xinguang; Xu, Jiafa; Jiang, Jiqiang; Wu, Yonghong; Cui, Yujun The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general \(k\)-Hessian equations. (English) Zbl 1440.35018 Appl. Math. Lett. 102, Article ID 106124, 10 p. (2020). MSC: 35B44 35B45 35B35 35J60 35L25 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Math. Lett. 102, Article ID 106124, 10 p. (2020; Zbl 1440.35018) Full Text: DOI
Mu, Lin A uniformly robust \(H(\operatorname{div})\) weak Galerkin finite element method for Brinkman problems. (A uniformly robust \(H(\operatorname{div})\) weak Galerkin finite element methods for Brinkman problems.) (English) Zbl 1434.65271 SIAM J. Numer. Anal. 58, No. 3, 1422-1439 (2020). MSC: 65N30 65N15 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{L. Mu}, SIAM J. Numer. Anal. 58, No. 3, 1422--1439 (2020; Zbl 1434.65271) Full Text: DOI
Zheng, Zhenming; Li, Zhenping; Xiong, Xiangtuan An improved error bound on the boundary inversion for a sideways heat equation. (English) Zbl 1437.65127 São Paulo J. Math. Sci. 14, No. 1, 287-300 (2020). MSC: 65M32 65M30 65M06 65M15 65K10 65J20 35R30 35R25 35K05 35B45 35B65 PDFBibTeX XMLCite \textit{Z. Zheng} et al., São Paulo J. Math. Sci. 14, No. 1, 287--300 (2020; Zbl 1437.65127) Full Text: DOI
Chen, Gang; Cui, Jintao On the error estimates of a hybridizable discontinuous Galerkin method for second-order elliptic problem with discontinuous coefficients. (English) Zbl 1465.65131 IMA J. Numer. Anal. 40, No. 2, 1577-1600 (2020). MSC: 65N30 65N15 35B65 35J15 PDFBibTeX XMLCite \textit{G. Chen} and \textit{J. Cui}, IMA J. Numer. Anal. 40, No. 2, 1577--1600 (2020; Zbl 1465.65131) Full Text: DOI
Sticko, Simon; Ludvigsson, Gustav; Kreiss, Gunilla High-order cut finite elements for the elastic wave equation. (English) Zbl 1437.65144 Adv. Comput. Math. 46, No. 3, Paper No. 45, 28 p. (2020). MSC: 65M60 65M85 35B45 74J10 65M15 PDFBibTeX XMLCite \textit{S. Sticko} et al., Adv. Comput. Math. 46, No. 3, Paper No. 45, 28 p. (2020; Zbl 1437.65144) Full Text: DOI arXiv
Wu, Shuonan; Li, Yukun Analysis of the Morley element for the Cahn-Hilliard equation and the Hele-Shaw flow. (English) Zbl 1437.65204 ESAIM, Math. Model. Numer. Anal. 54, No. 3, 1025-1052 (2020). MSC: 65N30 65M06 65N12 65N15 35B40 35B45 76D27 35Q35 76M10 PDFBibTeX XMLCite \textit{S. Wu} and \textit{Y. Li}, ESAIM, Math. Model. Numer. Anal. 54, No. 3, 1025--1052 (2020; Zbl 1437.65204) Full Text: DOI arXiv
Sarkar, Tanmay A priori error analysis of a discontinuous Galerkin scheme for the magnetic induction equation. (English) Zbl 1437.65140 Comput. Methods Appl. Math. 20, No. 1, 121-140 (2020). MSC: 65M60 65L06 65M12 65M15 35B45 76W05 PDFBibTeX XMLCite \textit{T. Sarkar}, Comput. Methods Appl. Math. 20, No. 1, 121--140 (2020; Zbl 1437.65140) Full Text: DOI
Shen, Ruigang; Shu, Shi; Yang, Ying; Lu, Benzhuo A decoupling two-grid method for the time-dependent Poisson-Nernst-Planck equations. (English) Zbl 1436.65189 Numer. Algorithms 83, No. 4, 1613-1651 (2020). MSC: 65N30 65M06 65N15 65M55 65H10 35B45 78A57 35Q60 35Q82 PDFBibTeX XMLCite \textit{R. Shen} et al., Numer. Algorithms 83, No. 4, 1613--1651 (2020; Zbl 1436.65189) Full Text: DOI arXiv
Gatica, Gabriel N.; Inzunza, Cristian An augmented fully-mixed finite element method for a coupled flow-transport problem. (English) Zbl 1436.65179 Calcolo 57, No. 1, Paper No. 8, 41 p. (2020). MSC: 65N30 65N12 76R05 76R50 76D07 65N15 35Q35 35Q49 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{C. Inzunza}, Calcolo 57, No. 1, Paper No. 8, 41 p. (2020; Zbl 1436.65179) Full Text: DOI
Hou, Tianliang; Chen, Luoping; Yang, Yueting; Yang, Yin Two-grid Raviart-Thomas mixed finite element methods combined with Crank-Nicolson scheme for a class of nonlinear parabolic equations. (English) Zbl 1436.65183 Adv. Comput. Math. 46, No. 2, Paper No. 24, 24 p. (2020). MSC: 65N30 65N55 65M06 65M12 65M15 35B45 35K55 PDFBibTeX XMLCite \textit{T. Hou} et al., Adv. Comput. Math. 46, No. 2, Paper No. 24, 24 p. (2020; Zbl 1436.65183) Full Text: DOI
Varma, V. Dhanya; Chamakuri, Nagaiah; Nadupuri, Suresh Kumar Discontinuous Galerkin solution of the convection-diffusion-reaction equations in fluidized beds. (English) Zbl 1439.76100 Appl. Numer. Math. 153, 188-201 (2020). MSC: 76M10 65N30 35K57 35Q35 PDFBibTeX XMLCite \textit{V. D. Varma} et al., Appl. Numer. Math. 153, 188--201 (2020; Zbl 1439.76100) Full Text: DOI
Kraus, Johannes; Nakov, Svetoslav; Repin, Sergey I. Reliable numerical solution of a class of nonlinear elliptic problems generated by the Poisson-Boltzmann equation. (English) Zbl 1447.65150 Comput. Methods Appl. Math. 20, No. 2, 293-319 (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 65N30 49M29 65N15 65N50 35J20 PDFBibTeX XMLCite \textit{J. Kraus} et al., Comput. Methods Appl. Math. 20, No. 2, 293--319 (2020; Zbl 1447.65150) Full Text: DOI arXiv
Erath, Christoph; Schorr, Robert Stable non-symmetric coupling of the finite volume method and the boundary element method for convection-dominated parabolic-elliptic interface problems. (English) Zbl 1436.65164 Comput. Methods Appl. Math. 20, No. 2, 251-272 (2020). MSC: 65N08 65N38 65N40 65N12 65N15 65M06 65N30 65M12 65M15 35B45 82B24 PDFBibTeX XMLCite \textit{C. Erath} and \textit{R. Schorr}, Comput. Methods Appl. Math. 20, No. 2, 251--272 (2020; Zbl 1436.65164) Full Text: DOI arXiv
Castanon Quiroz, Daniel; Di Pietro, Daniele A. A hybrid high-order method for the incompressible Navier-Stokes problem robust for large irrotational body forces. (English) Zbl 1437.65178 Comput. Math. Appl. 79, No. 9, 2655-2677 (2020). MSC: 65N30 65N15 76D05 PDFBibTeX XMLCite \textit{D. Castanon Quiroz} and \textit{D. A. Di Pietro}, Comput. Math. Appl. 79, No. 9, 2655--2677 (2020; Zbl 1437.65178) Full Text: DOI
Cicuttin, Matteo; Ern, Alexandre; Gudi, Thirupathi Hybrid high-order methods for the elliptic obstacle problem. (English) Zbl 1436.65176 J. Sci. Comput. 83, No. 1, Paper No. 8, 18 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65N30 65N15 65N12 35B45 PDFBibTeX XMLCite \textit{M. Cicuttin} et al., J. Sci. Comput. 83, No. 1, Paper No. 8, 18 p. (2020; Zbl 1436.65176) Full Text: DOI HAL
Wang, Fei; Wu, Shuonan; Xu, Jinchao A mixed discontinuous Galerkin method for linear elasticity with strongly imposed symmetry. (English) Zbl 1435.65211 J. Sci. Comput. 83, No. 1, Paper No. 2, 17 p. (2020). MSC: 65N30 74B10 35Q74 35B45 PDFBibTeX XMLCite \textit{F. Wang} et al., J. Sci. Comput. 83, No. 1, Paper No. 2, 17 p. (2020; Zbl 1435.65211) Full Text: DOI arXiv
Wen, Jing; He, Yinnian; Chen, Hongbin Discontinuous Galerkin method for the fully dynamic Biot’s model. (English) Zbl 1464.65188 J. Math. Anal. Appl. 485, No. 2, Article ID 123837, 21 p. (2020). MSC: 65N30 65M06 65M12 65M15 74F10 74S05 35Q74 PDFBibTeX XMLCite \textit{J. Wen} et al., J. Math. Anal. Appl. 485, No. 2, Article ID 123837, 21 p. (2020; Zbl 1464.65188) Full Text: DOI
Dib, Dayana; Dib, Séréna; Sayah, Toni New numerical studies for Darcy’s problem coupled with the heat equation. (English) Zbl 1449.35349 Comput. Appl. Math. 39, No. 1, Paper No. 1, 16 p. (2020). MSC: 35Q35 74S05 76M10 65Z05 PDFBibTeX XMLCite \textit{D. Dib} et al., Comput. Appl. Math. 39, No. 1, Paper No. 1, 16 p. (2020; Zbl 1449.35349) Full Text: DOI
Chalhoub, Nancy; Omnes, Pascal; Sayah, Toni; El Zahlaniyeh, Rebecca Full discretization of time dependent convection-diffusion-reaction equation coupled with the Darcy system. (English) Zbl 1431.76122 Calcolo 57, No. 1, Paper No. 4, 28 p. (2020). MSC: 76S05 76M10 65M60 35K05 65N15 PDFBibTeX XMLCite \textit{N. Chalhoub} et al., Calcolo 57, No. 1, Paper No. 4, 28 p. (2020; Zbl 1431.76122) Full Text: DOI
Almonacid, Javier A.; Gatica, Gabriel N.; Ruiz-Baier, Ricardo Ultra-weak symmetry of stress for augmented mixed finite element formulations in continuum mechanics. (English) Zbl 1479.65023 Calcolo 57, No. 1, Paper No. 2, 25 p. (2020). MSC: 65N30 74S05 76M10 65N15 74B10 76R10 35B45 PDFBibTeX XMLCite \textit{J. A. Almonacid} et al., Calcolo 57, No. 1, Paper No. 2, 25 p. (2020; Zbl 1479.65023) Full Text: DOI
Lin, Xiuxiu; Chen, Yanping; Huang, Yunqing Galerkin spectral approximation of optimal control problems with \(L^2\)-norm control constraint. (English) Zbl 1448.49028 Appl. Numer. Math. 150, 418-432 (2020). MSC: 49K20 65N35 65N15 35J99 PDFBibTeX XMLCite \textit{X. Lin} et al., Appl. Numer. Math. 150, 418--432 (2020; Zbl 1448.49028) Full Text: DOI
Choi, Woocheol; Lee, Sanghyun Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods. (English) Zbl 1434.65242 Appl. Numer. Math. 150, 76-104 (2020). MSC: 65N30 65N50 65N15 35J05 65N12 PDFBibTeX XMLCite \textit{W. Choi} and \textit{S. Lee}, Appl. Numer. Math. 150, 76--104 (2020; Zbl 1434.65242) Full Text: DOI
Chen, Yanping; Lin, Xiuxiu; Huang, Yunqing; Lin, Qian \(hp\) spectral element approximation for integral state constrained optimal control problems governed by harmonic equations. (English) Zbl 1440.65244 J. Comput. Appl. Math. 371, Article ID 112716, 13 p. (2020). MSC: 65N35 65N15 65N50 31A30 49K20 93C20 35Q93 35B45 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Appl. Math. 371, Article ID 112716, 13 p. (2020; Zbl 1440.65244) Full Text: DOI
Drelichman, Irene; Durán, Ricardo G.; Ojea, Ignacio A weighted setting for the numerical approximation of the Poisson problem with singular sources. (English) Zbl 1447.65135 SIAM J. Numer. Anal. 58, No. 1, 590-606 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 65N50 35B45 PDFBibTeX XMLCite \textit{I. Drelichman} et al., SIAM J. Numer. Anal. 58, No. 1, 590--606 (2020; Zbl 1447.65135) Full Text: DOI arXiv
Kimura, Takuma; Minamoto, Teruya; Nakao, Mitsuhiro T. Constructive error estimates for full discrete approximation of periodic solution for heat equation. (English) Zbl 1440.65141 J. Comput. Appl. Math. 368, Article ID 112510, 10 p. (2020). MSC: 65M60 65M15 65M22 35K55 35K05 65N30 PDFBibTeX XMLCite \textit{T. Kimura} et al., J. Comput. Appl. Math. 368, Article ID 112510, 10 p. (2020; Zbl 1440.65141) Full Text: DOI arXiv
Sharma, Nisha; Khebchareon, Morrakot; Pani, Amiya K. A priori error estimates of expanded mixed FEM for Kirchhoff type parabolic equation. (English) Zbl 1434.65274 Numer. Algorithms 83, No. 1, 125-147 (2020). MSC: 65N30 65M60 65M06 35K55 65M15 35B45 PDFBibTeX XMLCite \textit{N. Sharma} et al., Numer. Algorithms 83, No. 1, 125--147 (2020; Zbl 1434.65274) Full Text: DOI
Braun, Julian; Ortner, Christoph Sharp uniform convergence rate of the supercell approximation of a crystalline defect. (English) Zbl 1479.65018 SIAM J. Numer. Anal. 58, No. 1, 279-297 (2020). MSC: 65N12 65N15 65H10 74E15 70C20 35B45 PDFBibTeX XMLCite \textit{J. Braun} and \textit{C. Ortner}, SIAM J. Numer. Anal. 58, No. 1, 279--297 (2020; Zbl 1479.65018) Full Text: DOI arXiv
Gaspoz, Fernando; Kreuzer, Christian; Veeser, Andreas; Wollner, Winnifried Quasi-best approximation in optimization with PDE constraints. (English) Zbl 1457.49022 Inverse Probl. 36, No. 1, Article ID 014004, 29 p. (2020). MSC: 49M41 49J20 90C20 PDFBibTeX XMLCite \textit{F. Gaspoz} et al., Inverse Probl. 36, No. 1, Article ID 014004, 29 p. (2020; Zbl 1457.49022) Full Text: DOI arXiv
Führer, Thomas First-order least-squares method for the obstacle problem. (English) Zbl 1447.65138 Numer. Math. 144, No. 1, 55-88 (2020). Reviewer: Noureddine Daili (Sétif) MSC: 65N30 65N12 49J40 65N15 35B45 PDFBibTeX XMLCite \textit{T. Führer}, Numer. Math. 144, No. 1, 55--88 (2020; Zbl 1447.65138) Full Text: DOI arXiv
Shakya, Pratibha; Sinha, Rajen Kumar A priori error estimates for finite element discretizations of parabolic optimal control problems with measure data. (English) Zbl 1430.49029 Numer. Funct. Anal. Optim. 41, No. 2, 158-191 (2020). MSC: 49K20 65N15 65N30 PDFBibTeX XMLCite \textit{P. Shakya} and \textit{R. K. Sinha}, Numer. Funct. Anal. Optim. 41, No. 2, 158--191 (2020; Zbl 1430.49029) Full Text: DOI
Ye, Xiu; Zhang, Shangyou; Zhang, Zhimin A new \(P_1\) weak Galerkin method for the biharmonic equation. (English) Zbl 1427.65342 J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020). MSC: 65N15 65N30 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{X. Ye} et al., J. Comput. Appl. Math. 364, Article ID 112337, 10 p. (2020; Zbl 1427.65342) Full Text: DOI
Cooper, Shane; Savostianov, Anton Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations. (English) Zbl 1429.35020 Adv. Nonlinear Anal. 9, 745-787 (2020). Reviewer: Adrian Muntean (Karlstad) MSC: 35B27 35B40 35B45 35L71 35B41 PDFBibTeX XMLCite \textit{S. Cooper} and \textit{A. Savostianov}, Adv. Nonlinear Anal. 9, 745--787 (2020; Zbl 1429.35020) Full Text: DOI arXiv
Cesmelioglu, Aycil; Rhebergen, Sander; Wells, Garth N. An embedded-hybridized discontinuous Galerkin method for the coupled Stokes-Darcy system. (English) Zbl 1428.65078 J. Comput. Appl. Math. 367, Article ID 112476, 16 p. (2020). MSC: 65N30 65N12 65N15 76D07 76S05 35B45 PDFBibTeX XMLCite \textit{A. Cesmelioglu} et al., J. Comput. Appl. Math. 367, Article ID 112476, 16 p. (2020; Zbl 1428.65078) Full Text: DOI arXiv
Ye, Xiu; Zhang, Shangyou; Zhu, Peng A discontinuous Galerkin least-squares method for div-curl systems. (English) Zbl 1428.65097 J. Comput. Appl. Math. 367, Article ID 112474, 10 p. (2020). MSC: 65N30 65N15 76D07 35B45 35J50 PDFBibTeX XMLCite \textit{X. Ye} et al., J. Comput. Appl. Math. 367, Article ID 112474, 10 p. (2020; Zbl 1428.65097) Full Text: DOI
Shakya, Pratibha; Sinha, Rajen Kumar Finite element method for parabolic optimal control problems with a bilinear state equation. (English) Zbl 1464.65127 J. Comput. Appl. Math. 367, Article ID 112431, 26 p. (2020). MSC: 65M60 65M06 65N30 65M15 35B45 49M41 PDFBibTeX XMLCite \textit{P. Shakya} and \textit{R. K. Sinha}, J. Comput. Appl. Math. 367, Article ID 112431, 26 p. (2020; Zbl 1464.65127) Full Text: DOI
Graham, I. G.; Sauter, S. A. Stability and finite element error analysis for the Helmholtz equation with variable coefficients. (English) Zbl 1427.35016 Math. Comput. 89, No. 321, 105-138 (2020). MSC: 35J05 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{I. G. Graham} and \textit{S. A. Sauter}, Math. Comput. 89, No. 321, 105--138 (2020; Zbl 1427.35016) Full Text: DOI arXiv
Otárola, Enrique; Salgado, Abner J. A weighted setting for the stationary Navier Stokes equations under singular forcing. (English) Zbl 1428.35309 Appl. Math. Lett. 99, Article ID 105933, 7 p. (2020). MSC: 35Q30 35A01 35B45 76D05 PDFBibTeX XMLCite \textit{E. Otárola} and \textit{A. J. Salgado}, Appl. Math. Lett. 99, Article ID 105933, 7 p. (2020; Zbl 1428.35309) Full Text: DOI arXiv
Zhang, Qian; Zhang, Zhimin Curl-curl conforming elements on tetrahedra. arXiv:2007.10421 Preprint, arXiv:2007.10421 [math.NA] (2020). MSC: 65N30 35Q60 65N15 35B45 BibTeX Cite \textit{Q. Zhang} and \textit{Z. Zhang}, ``Curl-curl conforming elements on tetrahedra'', Preprint, arXiv:2007.10421 [math.NA] (2020) Full Text: arXiv OA License
Yin, Baoli; Liu, Yang; Li, Hong; He, Siriguleng Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions. (English) Zbl 07581576 J. Comput. Phys. 379, 351-372 (2019). MSC: 65Mxx 35Rxx 26Axx PDFBibTeX XMLCite \textit{B. Yin} et al., J. Comput. Phys. 379, 351--372 (2019; Zbl 07581576) Full Text: DOI arXiv
Ye, Xiu; Zhang, Shangyou A discontinuous least-squares finite-element method for second-order elliptic equations. (English) Zbl 1499.65690 Int. J. Comput. Math. 96, No. 3, 557-567 (2019). MSC: 65N30 65N15 35B45 35J50 35J25 65N12 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Int. J. Comput. Math. 96, No. 3, 557--567 (2019; Zbl 1499.65690) Full Text: DOI
Li, Dongfang; Cao, Waixiang; Zhang, Chengjian; Zhang, Zhimin Optimal error estimates of a linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki equations. (English) Zbl 1473.65310 Commun. Comput. Phys. 26, No. 3, 838-854 (2019). MSC: 65N30 65N12 65N15 35B45 PDFBibTeX XMLCite \textit{D. Li} et al., Commun. Comput. Phys. 26, No. 3, 838--854 (2019; Zbl 1473.65310) Full Text: DOI
Zhai, Qilong; Xie, Hehu; Zhang, Ran; Zhang, Zhimin The weak Galerkin method for elliptic eigenvalue problems. (English) Zbl 1473.65284 Commun. Comput. Phys. 26, No. 1, 160-191 (2019). MSC: 65N25 65N30 65N15 65N12 74N20 35B45 35J50 35J35 PDFBibTeX XMLCite \textit{Q. Zhai} et al., Commun. Comput. Phys. 26, No. 1, 160--191 (2019; Zbl 1473.65284) Full Text: DOI
Kučera, Václav; Shu, Chi-Wang On the time growth of the error of the DG method for advective problems. (English) Zbl 1461.65240 IMA J. Numer. Anal. 39, No. 2, 687-712 (2019). MSC: 65M60 65M15 35L03 PDFBibTeX XMLCite \textit{V. Kučera} and \textit{C.-W. Shu}, IMA J. Numer. Anal. 39, No. 2, 687--712 (2019; Zbl 1461.65240) Full Text: DOI arXiv