Chrysafinos, Konstantinos; Paraschis, Panagiotis Error estimates for discontinuous Galerkin time-stepping schemes for the parabolic \(p\)-Laplacian: a quasi-norm approach. (English) Zbl 07971374 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 449-485 (2025). MSC: 65M15 65M60 35K92 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Chaobao; An, Na; Yu, Xijun; Chen, Hu Pointwise-in-time error analysis of the corrected \(\mathrm{L}1\) scheme for a time-fractional sine-Gordon equation. (English) Zbl 07954688 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108370, 11 p. (2025). MSC: 65M06 65N06 65M12 65M15 35A21 26A33 35R11 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaodi; Xie, Jialin; Li, Xianzhu Analysis of a time filtered finite element method for the unsteady inductionless MHD equations. (English) Zbl 07964514 Adv. Comput. Math. 50, No. 6, Paper No. 117, 36 p. (2024). MSC: 65M60 65M06 65N30 65N50 65M12 65M15 76W05 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qi; Zhang, Lu An ultraweak-local discontinuous Galerkin method for nonlinear biharmonic Schrödinger equations. (English) Zbl 07957224 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1725-1754 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 31A30 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Masri, Rami; Zeinhofer, Marius; Kuchta, Miroslav; Rognes, Marie E. The modelling error in multi-dimensional time-dependent solute transport models. (English) Zbl 07957223 ESAIM, Math. Model. Numer. Anal. 58, No. 5, 1681-1724 (2024). MSC: 65M60 65M06 65N30 65F15 65M15 35B45 35A01 35A02 35B65 35J15 76Z05 76S05 76R50 92C35 92C37 92-08 35Q35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Xiaochen; Shi, Dongyang; Zhang, Tong Fully decoupled, linearized and stabilized finite volume method for the time-dependent incompressible MHD equations. (English) Zbl 07900515 Commun. Nonlinear Sci. Numer. Simul. 136, Article ID 108084, 27 p. (2024). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Das, Arijit; Saha, Jitraj Approximate solutions to the nonlinear hyperbolic population balance equation: convergence, error estimate and numerical simulations. (English) Zbl 1547.35676 Z. Angew. Math. Phys. 75, No. 4, Paper No. 125, 30 p. (2024). MSC: 35Q82 82C22 82C31 82D60 35R09 45K05 47J35 65M08 65M06 65N08 65M12 65M15 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Kashiwabara, Takahito; Kemmochi, Tomoya Discrete maximal regularity for the discontinuous Galerkin time-stepping method without logarithmic factor. (English) Zbl 1545.65368 SIAM J. Numer. Anal. 62, No. 4, 1638-1659 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35B45 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Jinting; Yi, Nianyu Convergence analysis of a decoupled pressure-correction SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. (English) Zbl 07881072 J. Comput. Appl. Math. 449, Article ID 115985, 38 p. (2024). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
López-Rodríguez, Bibiana; Querales, José; Venegas, Pablo Finite element approximation for an axisymmetric time-dependent acoustic problem. (English) Zbl 07878292 J. Comput. Appl. Math. 448, Article ID 115940, 15 p. (2024). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Ray, Kallol; Goswami, Deepjyoti; Bajpai, Saumya A discontinuous Galerkin finite element method for the Oldroyd model of order one. (English) Zbl 07869412 Math. Methods Appl. Sci. 47, No. 9, 7288-7328 (2024). MSC: 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Wolfmayr, Monika A posteriori error estimation for the optimal control of time-periodic eddy current problems. (English) Zbl 1540.65467 Comput. Methods Appl. Math. 24, No. 2, 511-528 (2024). MSC: 65N15 35Q61 49K20 49M41 49N20 65N30 78M30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Shiren; Li, Yuan Optimal error analysis of an unconditionally stable BDF2 finite element approximation for the 3D incompressible MHD equations with variable density. (English) Zbl 07866529 J. Comput. Appl. Math. 445, Article ID 115824, 18 p. (2024). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Yu, Liu; Yao, Changhui An implicit-explicit relaxation extrapolated Runge-Kutta and energy-preserving Finite element method for Klein-Gordon-Schrödinger equations. (English) Zbl 07861507 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108082, 17 p. (2024). MSC: 65M60 65L06 65B05 65M12 65M15 35Q55 35Q41 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Shi, Dongyang Superconvergence error analysis of linearized semi-implicit bilinear-constant SAV finite element method for the time-dependent Navier-Stokes equations. (English) Zbl 07853278 Commun. Nonlinear Sci. Numer. Simul. 134, Article ID 108021, 18 p. (2024). MSC: 65Mxx 35Kxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Yadav, Swati; Rai, Pratima A parameter uniform scheme for delay parabolic singularly perturbed turning point problem. (English) Zbl 1535.65144 Differ. Equ. Dyn. Syst. 32, No. 2, 421-436 (2024). MSC: 65M06 65N06 65N50 65M12 65M15 35R07 35B25 35C05 35B40 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Long; Hu, Qiya A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix. (English) Zbl 1531.65257 ESAIM, Math. Model. Numer. Anal. 58, No. 1, 1-22 (2024). MSC: 65N30 65N55 65N50 65N12 65N15 78A40 78M10 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Jinting; Yi, Nianyu; Chen, Yaoyao Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. (English) Zbl 07756782 J. Comput. Appl. Math. 438, Article ID 115577, 28 p. (2024). MSC: 65Mxx 76Dxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xiaodi New error analysis and recovery technique of a class of fully discrete finite element methods for the dynamical inductionless MHD equations. (English) Zbl 07756755 J. Comput. Appl. Math. 438, Article ID 115541, 21 p. (2024). MSC: 65Nxx 76Mxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Difonzo, Fabio Vito; Garrappa, Roberto A numerical procedure for fractional-time-space differential equations with the spectral fractional Laplacian. (English) Zbl 07920769 Cardone, Angelamaria (ed.) et al., Fractional differential equations. Modeling, discretization, and numerical solvers. Based on the presentations at the INdAM workshop, Rome, Italy, July 12–14, 2021. Cham: Springer. Springer INdAM Ser. 50, 29-51 (2023). MSC: 65M70 65M06 65N35 65M15 65N25 35A01 35B45 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei; Vuillemot, Killian \(\phi\)-FEM for the heat equation: optimal convergence on unfitted meshes in space. (English) Zbl 1536.65104 C. R., Math., Acad. Sci. Paris 361, 1699-1710 (2023). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 65M06 65N30 65M12 65M15 35K05 35B45 35Q79 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Aldbaissy, Rim; Chalhoub, Nancy; Djoko, J. K.; Sayah, Toni Full discretisation of the time dependent Navier-Stokes equations with anisotropic slip boundary condition. (English) Zbl 1538.65335 Int. J. Numer. Anal. Model. 20, No. 4, 497-517 (2023). MSC: 65M60 65M06 65N30 76D05 76D10 76M10 76M20 35Q30 76A05 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Zhang, Houchao Superconvergence analysis of a conservative mixed finite element method for the nonlinear Klein-Gordon-Schrödinger equations. (English) Zbl 1537.65139 Numer. Methods Partial Differ. Equations 39, No. 4, 2909-2934 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M06 65N30 65D05 65N12 65M15 65N15 81V35 35B65 35R09 35Q40 35Q41 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Acevedo, Ramiro; Gómez, Christian; López-Rodríguez, Bibiana; Salgado, Pilar Numerical analysis of a FEM based on a time-primitive of the electric field for solving a nonlinear transient eddy current problem. (English) Zbl 1528.78003 Appl. Numer. Math. 192, 261-279 (2023). MSC: 78M10 65M15 65M60 78A25 × Cite Format Result Cite Review PDF Full Text: DOI
Boisneault, Antonin; Dubuis, Samuel; Picasso, Marco An adaptive space-time algorithm for the incompressible Navier-Stokes equations. (English) Zbl 07748044 J. Comput. Phys. 493, Article ID 112457, 22 p. (2023). MSC: 65Mxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Bajpai, Saumya; Swain, Debendra Kumar A priori error estimates of a three-step two-level finite element Galerkin method for a 2D-Boussinesq system of equations. (English) Zbl 1538.76101 Comput. Math. Appl. 146, 137-164 (2023). MSC: 76M10 76R10 65N30 76D05 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Chu, Tianyang; Wang, Jilu; Wang, Na; Zhang, Zhimin Optimal-order convergence of a two-step BDF method for the Navier-Stokes equations with \(H^1\) initial data. (English) Zbl 1518.35527 J. Sci. Comput. 96, No. 2, Paper No. 62, 22 p. (2023). MSC: 35Q30 76D05 65M60 65M06 65N30 65M50 65B05 65M12 65M15 76M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Long; Gong, Wenxiu A space-time Trefftz DG scheme for the time-dependent Maxwell equations in anisotropic media. (English) Zbl 1540.78024 Math. Comput. Simul. 211, 445-469 (2023). MSC: 78M10 65M60 65N30 78A25 × Cite Format Result Cite Review PDF Full Text: DOI
Dolejší, Vít; May, Georg An anisotropic hp-mesh adaptation method for time-dependent problems based on interpolation error control. (English) Zbl 1522.65238 J. Sci. Comput. 95, No. 2, Paper No. 36, 31 p. (2023). MSC: 65N50 65M60 65N15 65D05 76B47 76N10 35A01 35A02 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
García-Archilla, Bosco; John, Volker; Novo, Julia POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution. (English) Zbl 1516.65086 SIAM J. Numer. Anal. 61, No. 3, 1340-1368 (2023). MSC: 65M60 65M06 65N30 65M99 65M12 65M15 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Tong; Chu, Xiaochen; Chen, Chuanjun Unconditional stability and convergence analysis of fully discrete stabilized finite volume method for the time-dependent incompressible MHD flow. (English) Zbl 1517.65079 Discrete Contin. Dyn. Syst., Ser. B 28, No. 11, 5839-5880 (2023). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 65M15 76D05 76W05 35Q35 65D32 × Cite Format Result Cite Review PDF Full Text: DOI
Eckhardt, Daniel; Verfürth, Barbara Fully discrete heterogeneous multiscale method for parabolic problems with multiple spatial and temporal scales. (English) Zbl 1516.65085 BIT 63, No. 2, Paper No. 35, 26 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M15 65M12 35K15 35B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Dan; An, Na; Huang, Chaobao Local error estimates of the fourth-order compact difference scheme for a time-fractional diffusion-wave equation. (English) Zbl 1549.65398 Comput. Math. Appl. 142, 283-292 (2023). MSC: 65M60 65M06 65N30 35R11 65M15 65M12 26A33 35A21 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Jilian; Li, Ning; Feng, Xinlong Analysis of a filtered time-stepping finite element method for natural convection problems. (English) Zbl 1515.65251 SIAM J. Numer. Anal. 61, No. 2, 837-871 (2023). MSC: 65M60 65M06 65N30 65N50 65N12 65N15 80A19 76R10 35Q79 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Danni; Guo, Ruihan Optimal error estimates of the semi-discrete local discontinuous Galerkin method and exponential time differencing schemes for the thin film epitaxy problem without slope selection. (English) Zbl 1524.65627 Adv. Appl. Math. Mech. 15, No. 3, 545-567 (2023). MSC: 65M60 35L75 65M06 65N30 65M15 76A20 35R09 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Dongyang; Zhang, Houchao Unconditional error estimates of linearized BDF2-Galerkin FEMs for nonlinear coupled Schrödinger-Helmholtz equations. (English) Zbl 1529.65083 Numer. Algorithms 92, No. 3, 1679-1705 (2023). MSC: 65M60 65M06 65N30 65M12 65N15 35Q60 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Chengxin; Cheng, Hao; Geng, Xiaoxiao The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder. (English) Zbl 1549.65332 Comput. Math. Appl. 137, 44-60 (2023). MSC: 65M32 65J20 65K10 65M06 35R30 35R11 35R25 65M15 26A33 35B07 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Long Global space-time Trefftz DG schemes for the time-dependent linear wave equation. (English) Zbl 1524.65624 Comput. Math. Appl. 131, 82-102 (2023). MSC: 65M60 65N30 78M10 65M15 35L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bajpai, Saumya; Goswami, Deepjyoti; Ray, Kallol Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model. (English) Zbl 1524.76208 Comput. Math. Appl. 130, 69-97 (2023). MSC: 76M10 76D05 65M60 65M15 65N30 76A10 × Cite Format Result Cite Review PDF Full Text: DOI
Layton, William; Pei, Wenlong; Qin, Yi; Trenchea, Catalin Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow. (English) Zbl 1533.65175 Numer. Methods Partial Differ. Equations 38, No. 6, 1713-1737 (2022). MSC: 65M60 65L06 65L20 65N30 65N50 65M15 76D05 35A24 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bir, Bikram; Goswami, Deepjyoti; Pani, Amiya K. Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data. (English) Zbl 1502.65114 IMA J. Numer. Anal. 42, No. 4, 3529-3570 (2022). MSC: 65M60 65M06 65N30 65M15 76A10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Babu, Gajendra; Prithvi, M.; Sharma, Kapil K.; Ramesh, V. P. A robust numerical algorithm on harmonic mesh for parabolic singularly perturbed convection-diffusion problems with time delay. (English) Zbl 1497.65116 Numer. Algorithms 91, No. 2, 615-634 (2022). MSC: 65M06 65N06 65M12 65M15 35K57 35B25 35B45 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Rieder, Alexander; Sayas, Francisco-Javier; Melenk, Jens Markus Time domain boundary integral equations and convolution quadrature for scattering by composite media. (English) Zbl 1500.65055 Math. Comput. 91, No. 337, 2165-2195 (2022). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M38 65M60 65L06 65N38 65N30 65R20 65M15 65M12 35A01 35A02 35B45 76Q05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chu, Xiaochen; Chen, Chuanjun; Zhang, Tong Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations. (English) Zbl 1502.65086 Appl. Numer. Math. 181, 436-467 (2022). MSC: 65M08 65M06 65N08 65M12 65M15 76W05 76M12 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Yihui; Luo, Zhendong The Crank-Nicolson mixed finite element method for the improved system of time-domain Maxwell’s equations. (English) Zbl 1510.78059 Appl. Math. Comput. 433, Article ID 127422, 18 p. (2022). MSC: 78M10 78M20 65N35 35Q61 65N12 65N15 × Cite Format Result Cite Review PDF Full Text: DOI
Futai, Kouta; Kolbe, Niklas; Notsu, Hirofumi; Suzuki, Tasuku A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems. (English) Zbl 1490.65193 J. Sci. Comput. 92, No. 2, Paper No. 37, 33 p. (2022); correction ibid. 102, No. 1, Paper No. 19, 3 p. (2025). MSC: 65M60 65M12 65M25 65M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dongfang; She, Mianfu; Sun, Hai-wei; Yan, Xiaoqiang A novel discrete fractional Grönwall-type inequality and its application in pointwise-in-time error estimates. (English) Zbl 1491.65112 J. Sci. Comput. 91, No. 1, Paper No. 27, 26 p. (2022). MSC: 65M70 65M06 65N35 65M12 65M15 35B65 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
García-Archilla, Bosco; Novo, Julia; Rubino, Samuele Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations. (English) Zbl 1486.65167 J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022). MSC: 65M60 35Q30 65M12 65M15 65M20 76D55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Al-Maskari, Mariam; Karaa, Samir The time-fractional Cahn-Hilliard equation: analysis and approximation. (English) Zbl 1497.65158 IMA J. Numer. Anal. 42, No. 2, 1831-1865 (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M60 65M06 65N30 65D30 44A10 65M12 65M15 35B45 35A01 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Bir, Bikram; Goswami, Deepjyoti; Pani, Amiya K. Finite element penalty method for the Oldroyd model of order one with non-smooth initial data. (English) Zbl 1485.65101 Comput. Methods Appl. Math. 22, No. 2, 297-325 (2022). MSC: 65M60 65M15 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Gómez, Sergio; Moiola, Andrea A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation. (English) Zbl 1491.65093 SIAM J. Numer. Anal. 60, No. 2, 688-714 (2022). Reviewer: Yan Xu (Hefei) MSC: 65M60 78M10 35Q41 65M12 65M15 35B45 35J05 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hochbruck, Marlis; Köhler, Jonas Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems. (English) Zbl 1497.65173 Numer. Math. 150, No. 3, 893-927 (2022). Reviewer: Yinhua Xia (Hefei) MSC: 65M60 65M06 65N30 65M12 65M15 78A25 78M10 78M20 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI
Adak, D.; Mora, D.; Natarajan, S. Convergence analysis of virtual element method for nonlinear nonlocal dynamic plate equation. (English) Zbl 1484.65205 J. Sci. Comput. 91, No. 1, Paper No. 23, 37 p. (2022). MSC: 65M60 65M06 65N30 65N12 65N15 74K20 35G20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Huanrong; Wang, Dongmei A modified finite volume element method for solving the phase field Allen-Cahn model. (English) Zbl 1524.65458 Appl. Math. Lett. 127, Article ID 107860, 8 p. (2022). MSC: 65M08 65M99 65M15 76M20 35B20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chuanjun; Lou, Yuzhi; Hu, Hanzhang Two-grid finite volume element method for the time-dependent Schrödinger equation. (English) Zbl 1524.65491 Comput. Math. Appl. 108, 185-195 (2022). MSC: 65M55 65M60 65N30 65M12 65M15 35Q41 65M06 65M08 65N08 35Q60 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Van Chien; Slodička, Marián; Van Bockstal, Karel A space-time discretization for an electromagnetic problem with moving non-magnetic conductor. (English) Zbl 1483.35237 Appl. Numer. Math. 173, 345-364 (2022). MSC: 35Q60 65M12 65N12 65M15 35D30 35A01 35A02 78M10 78M20 65M60 65M06 65N30 × Cite Format Result Cite Review PDF Full Text: DOI Link
García-Archilla, Bosco; John, Volker; Novo, Julia Symmetric pressure stabilization for equal-order finite element approximations to the time-dependent Navier-Stokes equations. (English) Zbl 07528272 IMA J. Numer. Anal. 41, No. 2, 1093-1129 (2021). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Alauzet, F.; Frazza, L. Feature-based and goal-oriented anisotropic mesh adaptation for RANS applications in aeronautics and aerospace. (English) Zbl 07512317 J. Comput. Phys. 439, Article ID 110340, 77 p. (2021). MSC: 76Mxx 65Nxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ting; Huang, Pengzhan; He, Yinnian A fully discrete, decoupled scheme with different time steps for approximating nematic liquid crystal flow. (English) Zbl 1499.65504 Int. J. Numer. Anal. Model. 18, No. 6, 811-833 (2021). MSC: 65M60 76A15 35Q35 65M15 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yang; Lei, Yanfang; Si, Zhiyong Unconditional stability and error estimates of the modified characteristics FEM for the time-dependent viscoelastic Oldroyd flows. (English) Zbl 1488.76089 Adv. Appl. Math. Mech. 13, No. 2, 311-332 (2021). MSC: 76M10 65N12 65N30 35K61 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Minghua; Jiang, Suzhen; Bu, Weiping Two \(L1\) schemes on graded meshes for fractional Feynman-Kac equation. (English) Zbl 1500.65039 J. Sci. Comput. 88, No. 3, Paper No. 58, 24 p. (2021). MSC: 65M06 65M12 65M15 35B65 82C31 35Q82 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Long; Hu, Qiya Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media. (English) Zbl 1524.65875 Comput. Math. Appl. 97, 355-374 (2021). MSC: 65N30 35J05 65N12 65N15 78A40 35Q60 76Q05 74S05 76M10 35A15 74B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Huanrong; Wang, Dongmei; Song, Zhengyuan; Zhang, Fuchen Numerical analysis of an unconditionally energy-stable reduced-order finite element method for the Allen-Cahn phase field model. (English) Zbl 1524.65566 Comput. Math. Appl. 96, 67-76 (2021). MSC: 65M60 65M12 65M15 35Q35 65M06 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yuan, Long A plane wave least squares method for the Maxwell equations in anisotropic media. (English) Zbl 1465.65152 Numer. Algorithms 87, No. 2, 873-894 (2021). MSC: 65N30 65N55 65N15 78A25 78M10 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yongshuai; Zheng, Haibiao A partitioned scheme with multiple-time-step technique for the nonstationary dual-porosity-Stokes problem. (English) Zbl 1524.76480 Comput. Math. Appl. 93, 265-288 (2021). MSC: 76S05 76M10 76D07 65N30 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Langer, Ulrich; Steinbach, Olaf; Tröltzsch, Fredi; Yang, Huidong Space-time finite element discretization of parabolic optimal control problems with energy regularization. (English) Zbl 1467.65094 SIAM J. Numer. Anal. 59, No. 2, 675-695 (2021). Reviewer: J. Manimaran (Ponda) MSC: 65M60 65M15 65M50 35K20 49J20 49M41 49M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Xinfei; Yang, Xiaoyuan Mixed finite element method for the nonlinear time-fractional stochastic fourth-order reaction-diffusion equation. (English) Zbl 1524.65570 Comput. Math. Appl. 84, 39-55 (2021). MSC: 65M60 65M06 65N30 35R11 65M12 60H15 35Q92 92C10 74K15 74L15 78A20 92C37 92C05 76Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Pal, Birupaksha; Ganesan, Sashikumaar An a priori error analysis for a projection based variational multiscale finite element method for Oseen problems in a time-dependent domain. (English) Zbl 1524.76222 Comput. Math. Appl. 82, 130-147 (2021). MSC: 76M10 76D05 65N30 76D07 65N15 76M30 × Cite Format Result Cite Review PDF Full Text: DOI
Krämer, Patrick; Schratz, Katharina; Zhao, Xiaofei Splitting methods for nonlinear Dirac equations with Thirring type interaction in the nonrelativistic limit regime. (English) Zbl 1457.78006 J. Comput. Appl. Math. 387, Article ID 112494, 16 p. (2021). MSC: 78A35 78M20 78M22 65M06 65N35 65M12 65M15 81Q05 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
García-Archilla, Bosco; Novo, Julia Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations. (English) Zbl 1454.65115 Adv. Comput. Math. 46, No. 4, Paper No. 61, 33 p. (2020). MSC: 65M60 65M06 65N30 65M70 65M20 65L06 65M12 65M15 76D05 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Huanrong; Song, Zhengyuan A reduced-order energy-stability-preserving finite difference iterative scheme based on POD for the Allen-Cahn equation. (English) Zbl 1447.65028 J. Math. Anal. Appl. 491, No. 1, Article ID 124245, 11 p. (2020). MSC: 65M06 65M15 65M12 35Q35 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Guillén-González, F.; Rodríguez-Bellido, M. A.; Rueda-Gómez, D. A. Study of a chemo-repulsion model with quadratic production. I: Analysis of the continuous problem and time-discrete numerical schemes. (English) Zbl 1447.65076 Comput. Math. Appl. 80, No. 5, 692-713 (2020). MSC: 65M60 65M06 65M12 65M15 35B65 92C17 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Hai, Dinh Nguyen Duy; Trong, Dang Duc Optimal error bound and truncation regularization method for a backward time-fractional diffusion problem in Hilbert scales. (English) Zbl 1440.65088 Appl. Math. Lett. 107, Article ID 106448, 8 p. (2020). MSC: 65M06 65M30 65M15 65J20 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Rong, Y.; Fiordilino, J. A. Numerical analysis of a BDF2 modular grad-div stabilization method for the Navier-Stokes equations. (English) Zbl 1436.76046 J. Sci. Comput. 82, No. 3, Paper No. 66, 22 p. (2020). Reviewer: Pavel Burda (Praha) MSC: 76M20 65M06 65M12 65M60 76D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. (English) Zbl 1448.65157 SIAM J. Numer. Anal. 58, No. 1, 410-429 (2020). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 65M60 65M12 35Q30 65M15 65M20 76B75 65N30 65M70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Bajpai, Saumya; Pany, Ambit K. A priori error estimates of fully discrete finite element Galerkin method for Kelvin-Voigt viscoelastic fluid flow model. (English) Zbl 1443.65191 Comput. Math. Appl. 78, No. 12, 3872-3895 (2019). MSC: 65M60 76A10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Langer, Ulrich; Matculevich, Svetlana; Repin, Sergey Adaptive space-time isogeometric analysis for parabolic evolution problems. (English) Zbl 1453.65330 Langer, Ulrich (ed.) et al., Space-time methods. Applications to partial differential equations. Berlin: De Gruyter. Radon Ser. Comput. Appl. Math. 25, 141-183 (2019). MSC: 65M60 35K20 65M15 65M55 65M12 35B45 65D07 35A15 65M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gimperlein, Heiko; Stocek, Jakub Space-time adaptive finite elements for nonlocal parabolic variational inequalities. (English) Zbl 1441.65077 Comput. Methods Appl. Mech. Eng. 352, 137-171 (2019). MSC: 65M60 65K15 65M15 65M50 74M10 74M15 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahmed, Elyes; Radu, Florin Adrian; Nordbotten, Jan Martin Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model. (English) Zbl 1440.74117 Comput. Methods Appl. Mech. Eng. 347, 264-294 (2019). MSC: 74F10 65M15 74S05 65M60 76S05 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Peipei; Wu, Haijun; Xu, Xuejun Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number. (English) Zbl 1435.78020 Adv. Comput. Math. 45, No. 5-6, 3265-3291 (2019). MSC: 78M10 65N30 65N12 65N15 78A40 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Xiuling; Wang, Shanshan; Zhang, Luming Maximum error estimates for a compact difference scheme of the coupled nonlinear Schrödinger-Boussinesq equations. (English) Zbl 1430.35208 Numer. Methods Partial Differ. Equations 35, No. 6, 1971-1999 (2019). MSC: 35Q55 35Q35 35Q41 76X05 65M06 65M12 65M15 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jingyuan; Rui, Hongxing; Cao, Yanzhao A partitioned method with different time steps for coupled Stokes and Darcy flows with transport. (English) Zbl 1427.65215 Int. J. Numer. Anal. Model. 16, No. 3, 463-498 (2019). MSC: 65M12 65M15 65M60 65M06 76S05 76D07 76T20 × Cite Format Result Cite Review PDF Full Text: Link
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical algorithms of the two-dimensional Feynman-Kac equation for reaction and diffusion processes. (English) Zbl 1452.65173 J. Sci. Comput. 81, No. 1, 537-568 (2019). Reviewer: Zhiming Chen (Beijing) MSC: 65M06 35R11 65M15 35Q84 82C31 35K57 65D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris Error estimates for Space-time discretization of parabolic time-optimal control problems with bang-bang controls. (English) Zbl 1420.49024 SIAM J. Control Optim. 57, No. 3, 1730-1756 (2019). MSC: 49K20 49M25 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Antonopoulou, Dimitra; Plexousakis, Michael A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain. (English) Zbl 1426.65138 ESAIM, Math. Model. Numer. Anal. 53, No. 2, 523-549 (2019). Reviewer: Victor Michel-Dansac (Toulouse) MSC: 65M15 65M12 65M60 35K05 35Q79 65L06 × Cite Format Result Cite Review PDF Full Text: DOI Link
Li, Xiaoli; Shen, Jie; Rui, Hongxing Energy stability and convergence of SAV block-centered finite difference method for gradient flows. (English) Zbl 1422.65165 Math. Comput. 88, No. 319, 2047-2068 (2019). MSC: 65M06 65M12 65M15 35K20 35K35 65Z05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakao, Mitsuhiro T.; Plum, Michael; Watanabe, Yoshitaka Numerical verification methods and computer-assisted proofs for partial differential equations. (English) Zbl 1462.65004 Springer Series in Computational Mathematics 53. Singapore: Springer (ISBN 978-981-13-7668-9/hbk; 978-981-13-7669-6/ebook). xiii, 467 p. (2019). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 65-02 35-02 65Mxx 65Nxx 65G20 35J25 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Djoko, J. K. A priori error analysis for Navier Stokes equations with slip boundary conditions of friction type. (English) Zbl 1414.65011 J. Math. Fluid Mech. 21, No. 1, Paper No. 17, 32 p. (2019). MSC: 65M12 65N15 76D05 65M06 35B45 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Dolejší, Vít; Felcman, Jiří; Kubera, Petr FV-DG method for the Pedestrian flow problem. (English) Zbl 1411.76060 Comput. Fluids 183, 1-15 (2019). MSC: 76M10 65M60 76A99 76T25 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Haijin; Zheng, Jingjing; Yu, Fan; Guo, Hui; Zhang, Qiang Local discontinuous Galerkin method with implicit-explicit time marching for incompressible miscible displacement problem in porous media. (English) Zbl 1412.65120 J. Sci. Comput. 78, No. 1, 1-28 (2019). MSC: 65M12 65M15 65M60 76S05 35Q35 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Chupeng; Cao, Liqun; Huang, Jizu Analysis of a fully discrete finite element method for the Maxwell-Schrödinger system in the Coulomb gauge. (English) Zbl 1412.65151 Int. J. Numer. Anal. Model. 16, No. 1, 139-166 (2019). MSC: 65M60 65M12 65M06 65M15 35Q41 35Q60 35Q40 × Cite Format Result Cite Review PDF Full Text: Link