Zhang, Xiaohao; Mei, Liquan; Guo, Shimin Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains. (English) Zbl 07901834 J. Comput. Appl. Math. 454, Article ID 116204, 20 p. (2025). MSC: 65M60 65M06 65N30 65L06 33C45 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Haiming; Wang, Hao; Wu, Jiageng; Yang, Jinda An efficient ADAM-type algorithm with finite elements discretization technique for random elliptic optimal control problems. (English) Zbl 07901831 J. Comput. Appl. Math. 454, Article ID 116199, 16 p. (2025). MSC: 90Cxx 65Nxx 65Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Spiridonov, Denis; Stepanov, Sergei; Mai, Tina Prediction of discretization of online GMsFEM using deep learning for Richards equation. (English) Zbl 07901808 J. Comput. Appl. Math. 454, Article ID 116167, 26 p. (2025). MSC: 65M60 65M12 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huo, Fuchang; Song, Yongcun; Zhang, Kai Preconditioned weak Galerkin finite element method for Poisson equation by least squares reconstruction. (English) Zbl 07920866 Commun. Anal. Comput. 2, No. 2, 128-158 (2024). MSC: 65N12 65N30 35J50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Lina; Chung, Eric A posteriori error estimates for the mortar staggered DG method. (English) Zbl 07920865 Commun. Anal. Comput. 2, No. 2, 110-127 (2024). MSC: 65M15 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jing, Luru; Feng, Mingfu; Li, Yuejie; Teng, Fei; Luo, Zhendong A reduced-dimension method for unknown Crank-Nicolson finite element solution coefficient vectors of elastic wave equation with singular source term. (English) Zbl 07920121 J. Math. Anal. Appl. 540, No. 2, Article ID 128629, 20 p. (2024). MSC: 65M60 65M06 65N30 65B05 65M12 65M15 35A01 35B35 74B10 74S05 74S20 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Caojie; Zhang, Haixiang; Yang, Xuehua A new \(\alpha\)-robust nonlinear numerical algorithm for the time fractional nonlinear KdV equation. (English) Zbl 07919829 Commun. Anal. Mech. 16, No. 1, 147-168 (2024). MSC: 65M60 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yining; Wen, Cao; Liu, Yang; Li, Hong; Wang, Jinfeng Optimal time two-mesh mixed finite element method for a nonlinear fractional hyperbolic wave model. (English) Zbl 07919824 Commun. Anal. Mech. 16, No. 1, 24-52 (2024). MSC: 65N30 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Di Pietro, Daniele A.; Hanot, Marien-Lorenzo A discrete three-dimensional divdiv complex on polyhedral meshes with application to a mixed formulation of the biharmonic problem. (English) Zbl 07918285 Math. Models Methods Appl. Sci. 34, No. 9, 1597-1648 (2024). MSC: 65N30 65N99 31B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Zhao, Mingyang; Zhou, Liangjin HDG methods for the unilateral contact problem. (English) Zbl 07917624 J. Inequal. Appl. 2024, Paper No. 97, 14 p. (2024). MSC: 65N30 65N15 49J40 65K10 35J86 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Yang, Xu; Zhao, Weidong; Zhao, Wenju Optimal error estimates of a discontinuous Galerkin method for stochastic Allen-Cahn equation driven by multiplicative noise. (English) Zbl 07916203 Commun. Comput. Phys. 36, No. 1, 133-159 (2024). MSC: 65C30 65M60 60H35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Chuanjun; Yang, Xiaofeng Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model. (English) Zbl 07915999 Sci. China, Math. 67, No. 9, 2171-2194 (2024). MSC: 65M60 65M06 65N30 65N22 65N12 76D05 76T06 76M10 76M20 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Dolejší, Vít; Shin, Hyun-Geun; Vlasák, Miloslav Error estimates and adaptivity of the space-time discontinuous Galerkin method for solving the Richards equation. (English) Zbl 07915985 J. Sci. Comput. 101, No. 1, Paper No. 11, 39 p. (2024). MSC: 65M60 65M15 65M50 76S05 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Zhong, Xinghui; Qiu, Changxin; Yan, Jue Direct discontinuous Galerkin method with interface correction for the Keller-Segel chemotaxis model. (English) Zbl 07915982 J. Sci. Comput. 101, No. 1, Paper No. 8, 32 p. (2024). MSC: 65M60 65M06 65L06 65N30 65M15 65M12 35B65 92C17 92-08 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Gang; Monk, Peter; Zhang, Yangwen An HDG and CG method for the indefinite time-harmonic Maxwell’s equations under minimal regularity. (English) Zbl 07915965 J. Sci. Comput. 101, No. 2, Paper No. 26, 24 p. (2024). MSC: 65N30 65N12 65N15 35B65 78A25 78M10 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Hangya; Lu, Wangtao A high-accuracy mode solver for acoustic scattering by a periodic array of axially symmetric obstacles. (English) Zbl 07915962 J. Sci. Comput. 101, No. 1, Paper No. 23, 20 p. (2024). MSC: 78A45 78A40 78A50 76Q05 78M15 65N38 65N25 65D32 35J05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Huangxin; Huang, Can; Sun, Shuyu; Xiang, Yahong Stabilized variational formulations of Chorin-type and artificial compressibility methods for the stochastic Stokes-Darcy equations. (English) Zbl 07915961 J. Sci. Comput. 101, No. 1, Paper No. 22, 49 p. (2024). MSC: 65M60 65M06 65N30 65Y05 65N15 76N10 76S05 60G10 35R35 35A15 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Feng, Fang; Yu, Yue A modified interior penalty virtual element method for fourth-order singular perturbation problems. (English) Zbl 07915960 J. Sci. Comput. 101, No. 1, Paper No. 21, 32 p. (2024). MSC: 65N30 65N12 65N15 65D05 35J30 35B25 74K20 74K15 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Ying; Shi, Hui; Zhong, Xinghui Local discontinuous Galerkin methods with multistep implicit-explicit time discretization for nonlinear Schrödinger equations. (English) Zbl 07915953 J. Sci. Comput. 101, No. 1, Paper No. 4, 39 p. (2024). MSC: 65M60 65M06 65N30 65M15 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Mohebujjaman, Muhammad; Miranda, Julian; Mahbub, Md. Abdullah Al; Xiao, Mengying An efficient and accurate penalty-projection eddy viscosity algorithm for stochastic magnetohydrodynamic flow problems. (English) Zbl 07915951 J. Sci. Comput. 101, No. 1, Paper No. 2, 40 p. (2024). MSC: 65M60 65M06 65N30 65M70 65N35 65M12 65M22 58A14 76W05 35Q35 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Ruo; Liu, Qicheng; Yang, Fanyi Preconditioned nonsymmetric/symmetric discontinuous Galerkin method for elliptic problem with reconstructed discontinuous approximation. (English) Zbl 07915948 J. Sci. Comput. 100, No. 3, Paper No. 88, 32 p. (2024). MSC: 65N30 65K10 65F08 65F10 65F35 35J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vijaywargiya, Arjun; Fu, Guosheng Two finite element approaches for the porous medium equation that are positivity preserving and energy stable. (English) Zbl 07915946 J. Sci. Comput. 100, No. 3, Paper No. 86, 23 p. (2024). MSC: 65M60 65M06 65N30 65N12 52C22 35B09 76S05 76D07 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Cheng, Jian A high-order discontinuous Galerkin method for one-fluid two-temperature Euler non-equilibrium hydrodynamics. (English) Zbl 07912827 J. Sci. Comput. 100, No. 3, Paper No. 82, 28 p. (2024). MSC: 65-XX 35L45 65M60 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Yihan; An, Rong; Li, Yuan Two-level Arrow-Hurwicz iteration methods for the steady bio-convection flows. (English) Zbl 07912599 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108318, 21 p. (2024). MSC: 65N30 65H10 65N50 65N15 76D05 76T20 76Z10 76M10 92C10 35Q35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Bendahmane, Mostafa; Ouakrim, Youssef; Ouzrour, Yassine; Zagour, Mohamed Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue. (English) Zbl 07912568 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108281, 22 p. (2024). MSC: 35Q92 35Q35 35Q79 92C37 92C35 92C50 76D05 76W05 80A19 74F15 35D30 35A15 65M60 65M06 65N30 92-08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soundararajan, R.; Subburayan, V. Efficient finite element method for 2D singularly perturbed parabolic convection diffusion problems with discontinuous source term. (English) Zbl 07910931 Comput. Appl. Math. 43, No. 6, Paper No. 384, 26 p. (2024). MSC: 35K20 65M60 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Ismail, Kaouther; Ankur; Omrani, Khaled Error analysis of the fully Galerkin approximations for the nonlinear extended-Fisher-Kolmogorov equation. (English) Zbl 07910908 Comput. Appl. Math. 43, No. 6, Paper No. 361, 28 p. (2024). MSC: 65M12 65M15 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Matsumoto, Yasuhiro Fast wavefield evaluation method based on modified proxy-surface-accelerated interpolative decomposition for two-dimensional scattering problems. (English) Zbl 07910140 JSIAM Lett. 16, 61-64 (2024). MSC: 65N38 78A45 78M15 78M16 65D05 41A50 31A10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Jing; Du, Guangzhi Two-grid stabilized finite element methods with backtracking for the stationary Navier-Stokes equations. (English) Zbl 07909969 Adv. Comput. Math. 50, No. 4, Paper No. 83, 24 p. (2024). MSC: 65N30 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Santos, Milene; Araújo, Adérito; Barbeiro, Sílvia; Clain, Stéphane; Costa, Ricardo; Machado, Gaspar J. Very high-order accurate discontinuous Galerkin method for curved boundaries with polygonal meshes. (English) Zbl 07909815 J. Sci. Comput. 100, No. 3, Paper No. 66, 47 p. (2024). MSC: 65N30 65K10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Orlenko, S. P. Dynamics of three-layer inhomogeneous cylindrical shells on an elastic base under non-stationary load. (Ukrainian. English summary) Zbl 07909284 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2024, No. 4, 14-23 (2024). MSC: 74H45 74K25 74B20 74S99 × Cite Format Result Cite Review PDF Full Text: DOI
Youssri, Youssri Hassan; Atta, Ahmed Gamal Modal spectral Tchebyshev Petrov-Galerkin stratagem for the time-fractional nonlinear Burgers’ equation. (English) Zbl 07908524 Iran. J. Numer. Anal. Optim. 14, No. 1, 172-199 (2024). MSC: 65M60 11B39 40A05 34A08 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ishizaka, Hiroki Hybrid weakly over-penalised symmetric interior penalty method on anisotropic meshes. (English) Zbl 07908397 Calcolo 61, No. 3, Paper No. 45, 34 p. (2024). MSC: 65N30 65N50 65N12 65N15 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Feng, Yue; Peng, Hui; Wang, Ruishu; Zou, Yongkui A stabilizer free weak Galerkin finite element method for the linear elasticity equations. (English) Zbl 07908357 Commun. Pure Appl. Anal. 23, No. 8, 1095-1115 (2024). MSC: 65N30 65N12 65N15 35J50 74B10 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Faria, Luiz F. O.; Montenegro, Marcelo Positive solution for nonlinear elliptic equations on symmetric domains. (English) Zbl 07906584 Electron. J. Differ. Equ. 2024, Paper No. 41, 24 p. (2024). MSC: 35J92 35B09 35A01 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Ahmed, H. M.; Abd-Elhameed, W. M. Spectral solutions of specific singular differential equations using a unified spectral Galerkin-collocation algorithm. (English) Zbl 07906466 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 42, 22 p. (2024). MSC: 65N30 65N35 × Cite Format Result Cite Review PDF Full Text: DOI OA License
de Moraes, Carla E. O.; Rincon, Mauro A.; Antunes, Gladson O. Numerical method of the exact control for the elastic string problem with moving boundary. (English) Zbl 07905300 Bol. Soc. Parana. Mat. (3) 42, Paper No. 21, 20 p. (2024). MSC: 65M60 65M55 35R37 35L10 93C20 × Cite Format Result Cite Review PDF Full Text: DOI
Villamizar, Vianey; Khajah, Tahsin; Hale, Jonathan H. Highly efficient iterative method for multiple scattering with high order local ABC. (English) Zbl 07904379 Comput. Methods Appl. Mech. Eng. 430, Article ID 117221, 28 p. (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Song, Junpeng; Wu, Qiuqin; Shi, Yi A mass-conservative reduced-order algorithm in solving optimal control of convection-diffusion equation. (English) Zbl 07902991 J. Sci. Comput. 100, No. 3, Paper No. 65, 28 p. (2024). MSC: 65M60 65M25 65N99 65M12 65M15 49M25 93C20 76R50 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang Stability analysis and error estimate of the explicit single-step time-marching discontinuous Galerkin methods with stage-dependent numerical flux parameters for a linear hyperbolic equation in one dimension. (English) Zbl 07902990 J. Sci. Comput. 100, No. 3, Paper No. 64, 47 p. (2024). MSC: 65M60 65L06 65M12 65M15 35E15 × Cite Format Result Cite Review PDF Full Text: DOI
Duan, Huoyuan; Ma, Junhua A penalty-free and essentially stabilization-free DG method for convection-dominated second-order elliptic problems. (English) Zbl 07902985 J. Sci. Comput. 100, No. 2, Paper No. 59, 36 p. (2024). MSC: 65N30 65N15 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Yang; Zhou, Zhenguo; Zhao, Jingjun Error analysis of serendipity virtual element methods for semilinear parabolic integro-differential equations. (English) Zbl 07902981 J. Sci. Comput. 100, No. 2, Paper No. 55, 43 p. (2024). MSC: 65M60 65M06 65N30 65D32 65M15 35R09 45K05 35D30 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Chao; Cui, Jintao; Sun, Jiguang Error estimates for a mixed finite element method for the Maxwell’s transmission eigenvalue problem. (English) Zbl 07902504 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 1185-1200 (2024). MSC: 65N30 65N25 65L15 65N15 65N12 78M10 78A46 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Cano, Begoña; Moreta, María Jesús Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction. (English) Zbl 07902499 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 1053-1085 (2024). MSC: 65M20 65M06 65L04 65L06 65M60 65N06 65N30 65F10 65M12 35B50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Wang, Yang; Yi, Huaming; Fan, Xiaohong; Li, Guanrong Unconditionally optimal error estimates of linearized Crank-Nicolson virtual element methods for quasilinear parabolic problems on general polygonal meshes. (English) Zbl 07902494 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 881-926 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35K59 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Mu, Lin; Ye, Xiu; Zhang, Shangyou; Zhu, Peng A DG method for the Stokes equations on tensor product meshes with \([P_k]^d - P_{k-1}\) element. (English) Zbl 07902398 Commun. Appl. Math. Comput. 6, No. 4, 2431-2454 (2024). MSC: 65Mxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Buet, Christophe; Despres, Bruno; Morel, Guillaume Approximation properties of vectorial exponential functions. (English) Zbl 07902375 Commun. Appl. Math. Comput. 6, No. 3, 1801-1831 (2024). MSC: 65M60 65M80 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Jun; Shu, Chi-Wang; Qiu, Jianxian RKDG methods with multi-resolution WENO limiters for solving steady-state problems on triangular meshes. (English) Zbl 07902368 Commun. Appl. Math. Comput. 6, No. 3, 1575-1599 (2024). MSC: 65M60 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Si, Zhiyong; Li, Ziyi; Wei, Leilei A rotational velocity-correction projection method for the micropolar Navier-Stokes equations. (English) Zbl 07901908 Appl. Numer. Math. 205, 267-280 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76U05 76M10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Hohenegger, Matthias; Settanni, Giuseppina; Weinmüller, Ewa B.; Wolde, Mered Numerical treatment of singular ODEs using finite difference and collocation methods. (English) Zbl 07901902 Appl. Numer. Math. 205, 184-194 (2024). MSC: 65L10 34B15 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
Tomar, Aditi; Tripathi, Lok Pati; Pani, Amiya K. Optimal error estimates of a non-uniform IMEX-L1 finite element method for time fractional PDEs and PIDEs. (English) Zbl 07901900 Appl. Numer. Math. 205, 137-168 (2024). MSC: 65M60 65M12 65M15 35B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Xuewei; Yang, Zhanwen; Ma, Qiang; Ding, Xiaohua A structure-preserving local discontinuous Galerkin method for the stochastic KdV equation. (English) Zbl 07901870 Appl. Numer. Math. 204, 1-25 (2024). MSC: 65M60 65M06 65N30 65P10 65M12 65M15 35Q53 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Bonizzoni, Francesca; Freese, Philip; Peterseim, Daniel Super-localized orthogonal decomposition for convection-dominated diffusion problems. (English) Zbl 07901580 BIT 64, No. 3, Paper No. 33, 28 p. (2024). MSC: 65N30 65N55 65N12 65N15 35B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Han, Jiayu A discontinuous Galerkin method for Maxwell’s transmission eigenvalue problem. (English) Zbl 07901429 Calcolo 61, No. 3, Paper No. 37, 22 p. (2024). MSC: 65N25 65N30 35Q60 35B45 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Wentao; Zhang, Mingyan Existence of smooth solutions to the 3D Navier-Stokes equations based on numerical solutions by the Crank-Nicolson finite element method. (English) Zbl 07901428 Calcolo 61, No. 3, Paper No. 36, 22 p. (2024). MSC: 35Q30 76D05 35D35 35B65 35A01 35A02 65M60 65M06 65N30 65M15 78M10 76M20 × Cite Format Result Cite Review PDF Full Text: DOI
Trezzi, Manuel; Zerbinati, Umberto When rational functions meet virtual elements: the lightning virtual element method. (English) Zbl 07901427 Calcolo 61, No. 3, Paper No. 35, 20 p. (2024). MSC: 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Fan, Chen; Ali, Muhammad Aamir; Zhang, Zhiyue Decoupling numerical method based on deep neural network for nonlinear degenerate interface problems. (English) Zbl 07901320 Comput. Phys. Commun. 303, Article ID 109275, 14 p. (2024). MSC: 65N30 65N06 68T07 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Jixiao; Chen, Yanping; Liang, Qin The mass- and energy-conserving relaxation virtual element method for the nonlinear Schrödinger equation. (English) Zbl 07901133 Appl. Math. Lett. 158, Article ID 109251, 7 p. (2024). MSC: 65M60 65M06 65N30 47H10 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Changliang; Liu, Xiaowei; Ma, Xiaoqi; Liu, Shasha Superconvergence analysis of the conforming discontinuous Galerkin method on a Bakhvalov-type mesh for singularly perturbed reaction-diffusion equation. (English) Zbl 07901109 Appl. Math. Lett. 158, Article ID 109227, 7 p. (2024). MSC: 65N30 65N12 65N50 65K10 35B25 65L50 65L10 65L60 34B05 34E15 × Cite Format Result Cite Review PDF Full Text: DOI
Jaśkowiec, Jan; Sukumar, N. Penalty-free discontinuous Galerkin method. (English) Zbl 07901022 Int. J. Numer. Methods Eng. 125, No. 12, Article ID e7472, 40 p. (2024). MSC: 65N30 65K10 65N12 65F10 65F20 31A30 35J15 74B10 74B20 74S05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cimrman, Robert; Kolman, Radek; González, José A.; Park, K. C. Higher-order inverse mass matrices for the explicit transient analysis of heterogeneous solids. (English) Zbl 07901011 Int. J. Numer. Methods Eng. 125, No. 11, Article ID e7457, 25 p. (2024). MSC: 74Sxx 65Nxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Ishizaka, Hiroki Anisotropic weakly over-penalised symmetric interior penalty method for the Stokes equation. (English) Zbl 07900971 J. Sci. Comput. 100, No. 2, Paper No. 53, 40 p. (2024). MSC: 65N30 65N15 65N50 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brenner, Susanne C.; Garay, José C.; Sung, Li-yeng A multiscale finite element method for an elliptic distributed optimal control problem with rough coefficients and control constraints. (English) Zbl 07900965 J. Sci. Comput. 100, No. 2, Paper No. 47, 26 p. (2024). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N55 65K10 49M41 35B27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Saavedra, Laura; Tomas, Ignacio First-order greedy invariant-domain preserving approximation for hyperbolic problems: scalar conservation laws, and \(p\)-system. (English) Zbl 07900964 J. Sci. Comput. 100, No. 2, Paper No. 46, 26 p. (2024). MSC: 65-XX 35L65 65M60 65M12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Clozeau, Nicolas; Josien, Marc; Otto, Felix; Xu, Qiang Bias in the representative volume element method: periodize the ensemble instead of its realizations. (English) Zbl 07900829 Found. Comput. Math. 24, No. 4, 1305-1387 (2024). MSC: 65-XX 35B27 65N99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Jin, Bangti; Xu, Yifeng; Yang, Jingrong; Zhang, Kai Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization. (English) Zbl 07900577 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108166, 13 p. (2024). MSC: 65N30 65N21 65N12 65N50 49M41 65K10 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Daming; Yu, Yongbo; Zheng, Huasheng \(S_2\) synthetic acceleration and positivity-preserving schemes for solving the neutron transport equation. (English) Zbl 07900540 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108089, 13 p. (2024). MSC: 65N30 65N12 82D75 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng A numerical B-spline Galerkin method with proper generalized decomposition for reduced order modeling of partial differential equations. (English) Zbl 07900538 Commun. Nonlinear Sci. Numer. Simul. 137, Article ID 108057, 16 p. (2024). MSC: 65N30 65D07 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Jingjing; Cai, Wentao Error analysis of energy-conservative BDF2-FE scheme for the 2D Navier-Stokes equations with variable density. (English) Zbl 07900523 Commun. Nonlinear Sci. Numer. Simul. 136, Article ID 108093, 20 p. (2024). MSC: 76Mxx 76Dxx 65Mxx 76Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bendahmane, Mostafa; Karami, Fahd; Meskine, Driss; Tagoudjeu, Jacques; Zagour, Mohamed Mathematical analysis and multiscale derivation of a nonlinear predator-prey cross-diffusion-fluid system with two chemicals. (English) Zbl 07900520 Commun. Nonlinear Sci. Numer. Simul. 136, Article ID 108090, 21 p. (2024). MSC: 35B36 35K51 35Q35 65M08 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Qi; Hu, Jingyan; Zhou, Guanyu The mixed method with two Lagrange multiplier formulations for the Signorini problem. (English) Zbl 07900327 J. Comput. Appl. Math. 452, Article ID 116115, 22 p. (2024). MSC: 65N30 65N15 74M10 74M15 74B10 74S05 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Fengyang; Xie, Jiangming; Zheng, Chunxiong Sparsifiable spectral equivalence of DtN mapping and its application to elliptic problems. (English) Zbl 07900326 J. Comput. Appl. Math. 452, Article ID 116114, 16 p. (2024). MSC: 65N30 65N55 65F08 65F50 65T50 35J25 41A50 × Cite Format Result Cite Review PDF Full Text: DOI
Kachakhidze, Nikoloz; Papukashvili, Archil; Papukashvili, Giorgi; Peradze, Jemal; Sharikadze, Meri On the Test Results of a Method of Solution of the Nonlinear Integro-Differential Equation of String Oscillation. (English) Zbl 07900236 Bull. TICMI 28, No. 1, 51-56 (2024). MSC: 65-XX 35L20 35L72 65H10 65M60 65N06 74G15 × Cite Format Result Cite Review PDF Full Text: Link
Keram, Aytura; Huang, Pengzhan Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second-order scheme. (English) Zbl 07899985 ZAMM, Z. Angew. Math. Mech. 104, No. 7, Article ID e202400025, 17 p. (2024). MSC: 35Q35 35Q60 76W05 76D05 76T20 76U05 78A30 82D80 35D30 65M60 65M06 65N30 65B05 76M20 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Shuheng; Li, Yuan Optimal convergent analysis of a linearized Euler finite element scheme for the 2D incompressible temperature-dependent MHD-Boussinesq equations. (English) Zbl 07899966 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108264, 17 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 80A19 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Jinghan; Li, Yuan The first-order unconditionally stable projection finite element method for the incompressible vector potential magnetohydrodynamics system. (English) Zbl 07899965 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108263, 19 p. (2024). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Jaffal-Mourtada, B.; Yakoubi, D. Convergence analysis of an efficient scheme for the steady state second grade fluid model. (English) Zbl 07899961 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108254, 18 p. (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 76M10 76A05 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Qianqian; Mao, Shipeng; Wang, Xiaorong Error analysis of a fully discrete projection method for Cahn-Hilliard inductionless MHD problems. (English) Zbl 07899914 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108195, 22 p. (2024). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Bo; Shang, Yueqiang A three-step subgrid stabilized Oseen iterative method for Navier-Stokes type variational inequality. (English) Zbl 07899900 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108181, 16 p. (2024). MSC: 65N30 65N55 65H10 35J65 35B35 76D05 76M10 35Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Carle, Constantin; Hochbruck, Marlis Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations. (English) Zbl 07899592 Math. Comput. 93, No. 350, 2611-2641 (2024). MSC: 65M60 65M12 65M15 65M22 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Yang, Zongze; Zhou, Zhi High-order splitting finite element methods for the subdiffusion equation with limited smoothing property. (English) Zbl 07899590 Math. Comput. 93, No. 350, 2557-2586 (2024). MSC: 65M30 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Xing, Xin; Liu, Demin A two-level iterative method with Newton-type linearization for the stationary micropolar fluid equations. (English) Zbl 07899584 Numer. Algorithms 97, No. 1, 475-501 (2024). MSC: 65-XX 65M12 65M60 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yi; Wang, Wansheng; Zhang, Yanming Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation. (English) Zbl 07899572 Numer. Algorithms 97, No. 1, 167-189 (2024). MSC: 65-XX 65M12 65M70 65L06 65P40 65N30 65N35 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Haiming; Xu, Jingbo; Yang, Jinda; Li, Yutian Primal-dual active set algorithm for valuating American options under regime switching. (English) Zbl 07899550 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23104, 19 p. (2024). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G60 65M60 91G20 60G40 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Shipeng A posteriori error estimate of the weak Galerkin finite element method solving the Stokes problems on polytopal meshes. (English) Zbl 07899548 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23102, 23 p. (2024). MSC: 65N30 65N50 65N15 76D07 76M10 35J15 × Cite Format Result Cite Review PDF Full Text: DOI
Park, Chunjae A locally calculable \(P^3\)-pressure in a decoupled method for incompressible Stokes equations. (English) Zbl 07899547 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23101, 25 p. (2024). MSC: 65N30 65N12 76D07 76D17 76M10 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Yang, Yun-Bo; Jiang, Yao-Lin Unconditional optimal first-order error estimates of a full pressure segregation scheme for the magnetohydrodynamics equations. (English) Zbl 07899544 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23098, 38 p. (2024). MSC: 65Mxx 76Mxx 76Wxx × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Huadong; Xie, Wen A new optimal error analysis of a mixed finite element method for advection-diffusion-reaction Brinkman flow. (English) Zbl 07899543 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23097, 22 p. (2024). MSC: 65M60 65M06 65N30 65M15 76S05 76M10 76M20 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Bingzhen; Liu, Dongjie Adaptive finite element methods for scalar double-well problem. (English) Zbl 07899542 Numer. Methods Partial Differ. Equations 40, No. 5, Article ID e23096, 16 p. (2024). MSC: 65N30 65N50 65K10 65N12 65N15 49J20 35R09 × Cite Format Result Cite Review PDF Full Text: DOI
Muñoz-Matute, Judit; Demkowicz, Leszek Multistage discontinuous Petrov-Galerkin time-marching scheme for nonlinear problems. (English) Zbl 07899524 SIAM J. Numer. Anal. 62, No. 4, 1956-1978 (2024). MSC: 65L04 65L06 35F20 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caubet, Fabien; Ghantous, Joyce; Pierre, Charles A priori error estimates of a Poisson equation with Ventcel boundary conditions on curved meshes. (English) Zbl 07899523 SIAM J. Numer. Anal. 62, No. 4, 1929-1955 (2024). MSC: 74S05 65N15 65N30 65G99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wen, Xin; Song, Haiming; Li, Yutian; Gao, Zihan A primal-dual active set approach to the valuation of American options in regime-switching models: numerical solutions and convergence analysis. (English) Zbl 07899235 Comput. Appl. Math. 43, No. 6, Paper No. 345, 24 p. (2024). MSC: 35A35 90A09 65K10 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Barrenechea, Gabriel; Castillo, Ernesto; Pacheco, Douglas Implicit-explicit schemes for incompressible flow problems with variable viscosity. (English) Zbl 07899184 SIAM J. Sci. Comput. 46, No. 4, A2660-A2682 (2024). MSC: 65Mxx 76Dxx 76Rxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fortunato, Daniel A high-order fast direct solver for surface PDEs. (English) Zbl 07899181 SIAM J. Sci. Comput. 46, No. 4, A2582-A2606 (2024). MSC: 65M70 65M06 65N35 65M60 65N55 65F05 58A14 53A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zuo, Huimin; Zhu, Jun Increasingly high-order hybrid multi-resolution WENO schemes in multi-dimensions. (English) Zbl 07899003 J. Comput. Phys. 514, Article ID 113233, 17 p. (2024). MSC: 65M60 35L65 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Wei; Su, Chunmei; Zhang, Ganghui A second-order in time, BGN-based parametric finite element method for geometric flows of curves. (English) Zbl 07898991 J. Comput. Phys. 514, Article ID 113220, 17 p. (2024). MSC: 65Mxx 35Kxx 53Cxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kim, Dongho; Park, Eun-Jae; Seo, Boyoon Adaptive multi-level algorithm for a class of nonlinear problems. (English) Zbl 07898900 Comput. Methods Appl. Math. 24, No. 3, 747-776 (2024). MSC: 65N30 65N15 65N50 76D05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hauser, Julia I. M. Space-time FEM for the vectorial wave equation under consideration of Ohm’s law. (English) Zbl 07898898 Comput. Methods Appl. Math. 24, No. 3, 693-723 (2024). MSC: 65M60 35D30 35L05 35Q61 78M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaiser, Michael Wolfgang; Fries, Thomas-Peter Simultaneous analysis of continuously embedded Reissner-Mindlin shells in 3D bulk domains. (English) Zbl 07898476 Int. J. Numer. Methods Eng. 125, No. 16, Article ID e7495, 26 p. (2024). MSC: 65N30 65N12 74K25 74S05 74S22 35Q74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Xu, Bing-Bing; Wang, Yi-Fan; Wriggers, Peter Stabilization-free virtual element method for 2D elastoplastic problems. (English) Zbl 07898466 Int. J. Numer. Methods Eng. 125, No. 15, Article ID e7490, 22 p. (2024). MSC: 74Sxx 74Cxx 65Mxx × Cite Format Result Cite Review PDF Full Text: DOI OA License