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
Pugachev, V. S.; Sinitsyn, I. N. Lectures on functional analysis and applications (to appear). 2nd edition. (English) Zbl 07029832 Hackensack, NJ: World Scientific (ISBN 978-981-3203-17-4/hbk; 978-981-3203-18-1/pbk). 800 p. (2025). MSC: 46-01 47-01 × Cite Format Result Cite Review PDF Full Text: DOI
Velho, Iolanda; Tiago, Jorge; Pereira, Ricardo; Sequeira, Adélia Combined numerical/experimental analysis for intracranial aneurysms in a computational hemodynamics patient-specific framework. (English) Zbl 07926000 Beirão da Veiga, Hugo (ed.) et al., Nonlinear differential equations and applications. Portugal-Italy conference on NDEA, Évora, Portugal, July 4–6, 2022. Cham: Springer. CIM Ser. Math. Sci 7, 301-332 (2024). MSC: 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Russo, Alessandro; Sukumar, N. Quantitative study of the stabilization parameter in the virtual element method. (English) Zbl 07925998 Beirão da Veiga, Hugo (ed.) et al., Nonlinear differential equations and applications. Portugal-Italy conference on NDEA, Évora, Portugal, July 4–6, 2022. Cham: Springer. CIM Ser. Math. Sci 7, 259-278 (2024). MSC: 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI
Stelmashchuk, Vitalii; Shynkarenko, Heorhiy Stability of hybrid time integration scheme for Lord-Shulman thermopiezoelectricity. (English) Zbl 07925724 Results Appl. Math. 23, Article ID 100467, 13 p. (2024). MSC: 74Fxx 74Sxx 74Axx × Cite Format Result Cite Review PDF Full Text: DOI
Toprakseven, Suayip; Kaushik, Aditya; Sharma, Manju A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes. (English) Zbl 07925690 Numer. Algorithms 97, No. 2, 727-751 (2024). MSC: 65-XX 34K26 65N30 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Wahab, N. E. A.; Misro, M. Y. Bernstein operational matrix for solving boundary value problems. (English) Zbl 07925496 Malays. J. Math. Sci. 18, No. 3, 529-551 (2024). MSC: 65L60 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Yue, Yifan; Chen, Hongtao; Zhang, Shuo Lower and upper bounds for Stokes eigenvalues. (English) Zbl 07924849 Calcolo 61, No. 3, Paper No. 48, 15 p. (2024). MSC: 65N30 35J25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Lijing; Wang, Xudong Well-conditioned Galerkin spectral method for two-sided fractional diffusion equation with drift and fractional Laplacian. (English) Zbl 07924840 Math. Methods Appl. Sci. 47, No. 13, 11181-11200 (2024). MSC: 26A33 34B60 65L60 65F35 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Hanzhang; Chen, Yanping; Zhou, Jianwei Two-grid finite element method for time-fractional nonlinear Schrödinger equation. (English) Zbl 07924449 J. Comput. Math. 42, No. 4, 1124-1144 (2024). MSC: 65M06 65M12 65M15 65M55 × Cite Format Result Cite Review PDF Full Text: DOI
Qian, Yanxia; Wang, Fei; Yan, Wenjing Mixed discontinuous Galerkin method for quasi-Newtonian Stokes flows. (English) Zbl 07924439 J. Comput. Math. 42, No. 3, 885-910 (2024). MSC: 65N30 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Ghasemi, Azam; Saadatmandi, Abbas A Bernoulli-reproducing kernel method for a class of nonlinear singular boundary value problems. (English) Zbl 07924370 J. Appl. Anal. Comput. 14, No. 6, 3260-3281 (2024). MSC: 65L60 34B15 46E22 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Ying; Chen, Ziqiong; Huang, Pengzhan A finite element iterative algorithm of the steady-state fluid-fluid interaction problem. (English) Zbl 07924368 J. Appl. Anal. Comput. 14, No. 6, 3214-3226 (2024). MSC: 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Pop, Nicolae; Sireteanu, Tudor; Vladareanu, Luige; Iliescu, Mihaiela; Mitu, Ana-Maria; Maxim, Vicentiu Marius Numerical modeling and some optimal control problems of dynamic systems describing contact problems with friction in elasticity. (English) Zbl 07924182 Olaru, Sorin (ed.) et al., Difference equations, discrete dynamical systems and applications. IDCEA 2022. Selected papers based on the presentations at the 27th international conference, Gif-sur-Yvette, France, June 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 444, 389-412 (2024). MSC: 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zeng, Wei; Xu, Chuanju An accurate and efficient space-time Galerkin spectral method for the subdiffusion equation. (English) Zbl 07923996 Sci. China, Math. 67, No. 10, 2387-2408 (2024). MSC: 34A08 65M70 65L60 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Ballarin, Francesco; Delgado Ávila, Enrique; Mola, Andrea; Rozza, Gianluigi Mathematical modelling and computational reduction of molten glass fluid flow in a furnace melting basin. (English) Zbl 07923792 Comput. Appl. Math. 43, No. 7, Paper No. 407, 21 p. (2024). MSC: 65Mxx 76Mxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faiz, Zakaria; Benaissa, Hicham Approximation and optimal control for variational-hemivariational inequalities of Bingham type fluid. (English) Zbl 07923790 Comput. Appl. Math. 43, No. 7, Paper No. 405, 17 p. (2024). MSC: 35J87 47J20 49J40 74F15 74G30 74M10 74M15 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Doss, L. Jones Tarcius; Merlin, V. Jenish An optimal order \(H^1\)-Galerkin mixed finite element method for good Boussinesq equation. (English) Zbl 07923787 Comput. Appl. Math. 43, No. 7, Paper No. 402, 29 p. (2024). MSC: 65N30 65M60 65M15 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
Bouhlal, L.; Lamdouar, N.; Kassou, F. Assembly procedure for elementary matrices of train-track-bridge railway system. (English) Zbl 07923768 J. Anal. Appl. 22, No. 2, 81-106 (2024). MSC: 37N30 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Kuang, Yang; Shen, Yedan; Hu, Guanghui Towards chemical accuracy using a multi-mesh adaptive finite element method in all-electron density functional theory. (English) Zbl 07923412 J. Comput. Phys. 518, Article ID 113312, 17 p. (2024). MSC: 65Nxx 65Mxx 35Qxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gomes, Daniele C. R.; Rincon, Mauro A.; da Silva, Maria Darci G.; Antunes, Gladson O. Numerical and mathematical analysis of a nonlinear Schrödinger problem with moving ends. (English) Zbl 07923022 J. Appl. Anal. Comput. 14, No. 2, 886-910 (2024). MSC: 35K55 65M06 65M60 35R37 × Cite Format Result Cite Review PDF Full Text: DOI
de Castro, Amy; Lee, Hyesuk; Wiecek, Margaret M. Reduced order modeling for a Schur complement method for fluid-structure interaction. (English) Zbl 07922777 J. Comput. Phys. 515, Article ID 113282, 20 p. (2024). MSC: 65N30 76M10 74F10 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Ta Thi Thanh Mai; Nguyen Quang Huy Computational algorithms for solving optimal control in linear elasticity. (English) Zbl 07922750 Japan J. Ind. Appl. Math. 41, No. 3, 1341-1372 (2024). MSC: 49M41 49N10 74B05 65-XX 90C51 × Cite Format Result Cite Review PDF Full Text: DOI
Shylaja, Devika; Kumar, Sarvesh Morley type virtual element method for von Kármán equations. (English) Zbl 07922742 Adv. Comput. Math. 50, No. 5, Paper No. 94, 31 p. (2024). MSC: 35J61 65N12 65N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
He, Siriguleng; Li, Hong; Liu, Yang A POD based extrapolation DG time stepping space-time FE method for parabolic problems. (English) Zbl 07922117 J. Math. Anal. Appl. 539, No. 1, Part 1, Article ID 128501, 17 p. (2024). MSC: 65Mxx 35Kxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Shen, Jun; Gong, Rongfang; Chen, Chunxiao; Wang, Liang; Lin, Zhe; Lo, Catharine W. K.; Lu, Ming Tumor treating fields: modeling and a numerical algorithm. (English) Zbl 07920867 Commun. Anal. Comput. 2, No. 2, 159-179 (2024). MSC: 35R30 78-10 78M10 90C59 × Cite Format Result Cite Review PDF Full Text: DOI
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
Karapiperis, Konstantinos; Widmer, Adrian; Pescialli, Elias; Kochmann, Dennis M. A conforming frictional beam contact model. (English) Zbl 07917775 Comput. Methods Appl. Mech. Eng. 431, Article ID 117310, 21 p. (2024). MSC: 74-XX 70-XX × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Yinshan; van Ophem, Sjoerd; Wu, Shaoqi; Desmet, Wim; Deckers, Elke Model order reduction of time-domain acoustic finite element simulations with perfectly matched layers. (English) Zbl 07917771 Comput. Methods Appl. Mech. Eng. 431, Article ID 117298, 21 p. (2024). MSC: 74-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Liguori, F. S.; Madeo, A.; Marfia, S.; Garcea, G.; Sacco, E. A stabilization-free hybrid virtual element formulation for the accurate analysis of 2D elasto-plastic problems. (English) Zbl 07917756 Comput. Methods Appl. Mech. Eng. 431, Article ID 117281, 22 p. (2024). MSC: 74-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Huo, S. H.; Hong, Y.; Wang, G.; Jiang, C.; Liu, G. R.; Li, Z. Q. Conservative immersed-type algorithm with a Cartesian grid-based smoothed finite element method for the 2D fluid-structure interaction. (English) Zbl 07917752 Comput. Methods Appl. Mech. Eng. 431, Article ID 117275, 24 p. (2024). MSC: 76-XX 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xi; Yin, Zhen-Yu Interpretable physics-encoded finite element network to handle concentration features and multi-material heterogeneity in hyperelasticity. (English) Zbl 07917745 Comput. Methods Appl. Mech. Eng. 431, Article ID 117268, 27 p. (2024). MSC: 68-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Myrbäck, Sebastian; Zahedi, Sara A high-order conservative cut finite element method for problems in time-dependent domains. (English) Zbl 07917725 Comput. Methods Appl. Mech. Eng. 431, Article ID 117245, 18 p. (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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
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
Korosteleva, D. M. Approximation of functional-algebraic eigenvalue problems. (English. Russian original) Zbl 07915887 Differ. Equ. 60, No. 5, 677-682 (2024); translation from Differ. Uravn. 60, No. 5, 707-713 (2024). MSC: 47-XX × Cite Format Result Cite Review PDF Full Text: DOI
Mankour, Abdeljelil; Belabbes, Bachir B. Investigating interfacial cracks in bi-materials through a 4-point bending model analysis. (English) Zbl 07915613 Theor. Appl. Mech. (Belgrade) 51, No. 1, 27-38 (2024). MSC: 74B05 74E30 74Rxx 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Rahimkhani, P.; Ordokhani, Y. Hahn wavelets collocation method combined with Laplace transform method for solving fractional integro-differential equations. (English) Zbl 07915223 Math. Sci., Springer 18, No. 3, 463-477 (2024). MSC: 65R20 45J05 34A08 65L60 65T60 × Cite Format Result Cite Review PDF Full Text: DOI
Poot, Anne; Kerfriden, Pierre; Rocha, Iuri; van der Meer, Frans A Bayesian approach to modeling finite element discretization error. (English) Zbl 07914863 Stat. Comput. 34, No. 5, Paper No. 167, 17 p. (2024). MSC: 62-08 × 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
Charkaoui, Abderrahim; Ben-Loghfyry, Anouar A novel multi-frame image super-resolution model based on regularized nonlinear diffusion with Caputo time fractional derivative. (English) Zbl 07912567 Commun. Nonlinear Sci. Numer. Simul. 139, Article ID 108280, 33 p. (2024). MSC: 65L05 65L60 26A33 65K10 68U10 × Cite Format Result Cite Review PDF Full Text: DOI
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
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
Zhang, Huiqin; Chen, Yanping; Zhou, Jianwei; Wang, Yang Finite element scheme with H2N2 interpolation for multi-term time-fractional mixed sub-diffusion and diffusion-wave equation. (English) Zbl 07908871 Adv. Appl. Math. Mech. 16, No. 5, 1197-1222 (2024). MSC: 78A48 × 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
Tchuigwa, Baurice Sylvain Sadjiep; Krmela, Jan; Pokorny, Jan; Krmelová, Vladimíra; Jilek, Petr Vectfem: a generalized MATLAB-based vectorized algorithm for the computation of global matrix/force for finite elements of any type and approximation order in linear elasticity. (English) Zbl 07905875 Z. Angew. Math. Phys. 75, No. 4, Paper No. 150, 37 p. (2024). MSC: 74S05 74B05 × 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
Wiesheier, Simon; Moreno-Mateos, Miguel Angel; Steinmann, Paul Versatile data-adaptive hyperelastic energy functions for soft materials. (English) Zbl 07904367 Comput. Methods Appl. Mech. Eng. 430, Article ID 117208, 19 p. (2024). MSC: 74-XX 81-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
Khakse, Prashant Govindrao; Phalle, Vikas M. Comparison of conical hybrid journal bearing performances for varying speeds. (English) Zbl 07902669 J. Eng. Math. 147, Paper No. 6, 21 p. (2024). MSC: 76D08 76A20 76D45 76M10 × 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
Zafati, Eliass; Le Nguyen, Khuong New pipe element based on Hermite-Jackson interpolation. (English) Zbl 07902495 ESAIM, Math. Model. Numer. Anal. 58, No. 3, 927-955 (2024). MSC: 74K25 42A15 35J15 74S05 × 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, Yanhua; Wang, Xuesong; Cheng, Yao Local discontinuous Galerkin method for a singularly perturbed fourth-order problem of convection-diffusion type. (English) Zbl 07901894 Appl. Numer. Math. 205, 16-37 (2024). MSC: 65L11 65L60 × Cite Format Result Cite Review PDF Full Text: DOI
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
Choi, Junho; Kalogirou, Anna; Lu, Yang; Bokhove, Onno; Kelmanson, Mark A study of extreme water waves using a hierarchy of models based on potential-flow theory. (English) Zbl 07901729 Water Waves 6, No. 2, 225-277 (2024); correction ibid. 6, No. 2, 279-280 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B15 76B25 76M30 76M10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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
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
Turkyilmazoglu, Mustafa; Alotaibi, Abdulaziz Fluid motion in a cavity driven by a four-sided moving lid with uniform velocity. (English) Zbl 07901264 Eur. J. Mech., B, Fluids 107, 67-79 (2024). MSC: 76D05 76M99 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
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