Shakya, Pratibha Error analysis for the finite element approximations of Dirichlet parabolic boundary control problem with measure data. (English) Zbl 07808104 J. Math. Anal. Appl. 534, No. 2, Article ID 128109, 29 p. (2024). MSC: 65M60 65M06 65N30 65K10 93C20 65M15 65M12 35B45 35B65 35A01 35A02 35R06 PDFBibTeX XMLCite \textit{P. Shakya}, J. Math. Anal. Appl. 534, No. 2, Article ID 128109, 29 p. (2024; Zbl 07808104) Full Text: DOI
Khenfar, Sokina; Nicaise, Serge; Merabet, Ismail On the finite element approximation of the obstacle problem of a Naghdi shell. (English) Zbl 07797184 J. Comput. Appl. Math. 441, Article ID 115670, 26 p. (2024). MSC: 65N30 65N12 65F10 49J40 74K25 74M15 35A23 35A01 35A02 35B45 35Q74 PDFBibTeX XMLCite \textit{S. Khenfar} et al., J. Comput. Appl. Math. 441, Article ID 115670, 26 p. (2024; Zbl 07797184) Full Text: DOI
Zhang, Xiaodi; Zhou, Xianghai Stability and error analysis of the SAV schemes for the inductionless MHD equations. (English) Zbl 07793580 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107776, 23 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107776, 23 p. (2024; Zbl 07793580) Full Text: DOI arXiv
Han, Wei-Wei; Jiang, Yao-Lin; Miao, Zhen Numerical analysis of the SAV scheme for the EMAC formulation of the time-dependent Navier-Stokes equations. (English) Zbl 07756735 J. Comput. Appl. Math. 438, Article ID 115514, 17 p. (2024). MSC: 65Mxx 76Dxx 76Mxx PDFBibTeX XMLCite \textit{W.-W. Han} et al., J. Comput. Appl. Math. 438, Article ID 115514, 17 p. (2024; Zbl 07756735) Full Text: DOI
Bukač, Martina; Muha, Boris; Salgado, Abner J. Analysis of a diffuse interface method for the Stokes-Darcy coupled problem. (English) Zbl 07787591 ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2623-2658 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76S05 76D07 35B45 35Q35 76M10 76M20 PDFBibTeX XMLCite \textit{M. Bukač} et al., ESAIM, Math. Model. Numer. Anal. 57, No. 5, 2623--2658 (2023; Zbl 07787591) Full Text: DOI arXiv
Guan, Zhen; Wang, Jungang; Liu, Ying; Nie, Yufeng Unconditional convergence analysis of two linearized Galerkin FEMs for the nonlinear time-fractional diffusion-wave equation. (English) Zbl 07773391 Results Appl. Math. 19, Article ID 100389, 14 p. (2023). MSC: 65M60 65M06 65N30 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Guan} et al., Results Appl. Math. 19, Article ID 100389, 14 p. (2023; Zbl 07773391) Full Text: DOI
Zhang, Xiaodi; Long, Xiaonian Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations. (English) Zbl 1528.76048 Appl. Numer. Math. 192, 214-240 (2023). MSC: 76M10 65M12 65M60 76D05 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Long}, Appl. Numer. Math. 192, 214--240 (2023; Zbl 1528.76048) Full Text: DOI arXiv
Li, Zhenzhen; Xiao, Liuchao; Li, Minghao; Chen, Hongru Error estimates for the finite element method of the chemotaxis-Navier-Stokes equations. (English) Zbl 1522.65176 J. Appl. Math. Comput. 69, No. 4, 3039-3065 (2023). MSC: 65M60 35Q92 65M15 76D05 92C17 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Appl. Math. Comput. 69, No. 4, 3039--3065 (2023; Zbl 1522.65176) Full Text: DOI
Zou, Guang-an; Wang, Xuyang; Li, Jian An extrapolated Crank-Nicolson virtual element scheme for the nematic liquid crystal flows. (English) Zbl 1518.35562 Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023). MSC: 35Q35 76A15 65M12 65M15 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{G.-a. Zou} et al., Adv. Comput. Math. 49, No. 3, Paper No. 30, 43 p. (2023; Zbl 1518.35562) Full Text: DOI
Mishra, Soumyarani; Khebchareon, Morrakot; Pany, Ambit K. Second order backward difference scheme combined with finite element method for a 2D Sobolev equation with Burgers’ type non-linearity. (English) Zbl 07691975 Comput. Math. Appl. 141, 170-190 (2023). MSC: 65M60 65N30 65M15 65N15 65M12 PDFBibTeX XMLCite \textit{S. Mishra} et al., Comput. Math. Appl. 141, 170--190 (2023; Zbl 07691975) Full Text: DOI
Han, Wei-Wei; Jiang, Yao-Lin; Miao, Zhen Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization. (English) Zbl 07691973 Comput. Math. Appl. 141, 145-158 (2023). MSC: 76D05 76M10 35Q30 65M60 65M12 PDFBibTeX XMLCite \textit{W.-W. Han} et al., Comput. Math. Appl. 141, 145--158 (2023; Zbl 07691973) Full Text: DOI
Zhang, Yuhong; Rong, Yao; Zheng, Haibiao A study of numerical pollution of the decoupled algorithm for the convection model in superposed fluid and porous layers. (English) Zbl 1514.65138 SIAM J. Numer. Anal. 61, No. 2, 1018-1056 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76D05 76D07 76S05 35D30 76M10 76M20 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Numer. Anal. 61, No. 2, 1018--1056 (2023; Zbl 1514.65138) 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 PDFBibTeX XMLCite \textit{J. Wu} et al., SIAM J. Numer. Anal. 61, No. 2, 837--871 (2023; Zbl 1515.65251) Full Text: DOI
Bulle, Raphaël; Hale, Jack S.; Lozinski, Alexei; Bordas, Stéphane P. A.; Chouly, Franz Hierarchical a posteriori error estimation of Bank-Weiser type in the FEniCS project. (English) Zbl 1524.65767 Comput. Math. Appl. 131, 103-123 (2023). MSC: 65N30 65N15 35J25 65N50 35J05 65N12 74B10 PDFBibTeX XMLCite \textit{R. Bulle} et al., Comput. Math. Appl. 131, 103--123 (2023; Zbl 1524.65767) Full Text: DOI arXiv
Djoko, J. K.; Koko, J.; Mbehou, M.; Sayah, Toni Stokes and Navier-Stokes equations under power law slip boundary condition: numerical analysis. (English) Zbl 1504.65251 Comput. Math. Appl. 128, 198-213 (2022). MSC: 65N30 35Q30 65M12 65M15 76M10 PDFBibTeX XMLCite \textit{J. K. Djoko} et al., Comput. Math. Appl. 128, 198--213 (2022; Zbl 1504.65251) Full Text: DOI
González, María; Varela, Hiram A posteriori error estimates for stabilised mixed finite element methods for a nonlinear elliptic problem. (English) Zbl 1495.65213 ETNA, Electron. Trans. Numer. Anal. 55, 706-725 (2022). MSC: 65N30 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{M. González} and \textit{H. Varela}, ETNA, Electron. Trans. Numer. Anal. 55, 706--725 (2022; Zbl 1495.65213) Full Text: DOI Link
Mei, Yanhua; An, Rong Error estimates of second-order BDF Galerkin finite element methods for a coupled nonlinear Schrödinger system. (English) Zbl 1524.65578 Comput. Math. Appl. 122, 117-125 (2022). MSC: 65M60 35Q55 65M12 65M06 65M15 65B05 35Q41 65N30 PDFBibTeX XMLCite \textit{Y. Mei} and \textit{R. An}, Comput. Math. Appl. 122, 117--125 (2022; Zbl 1524.65578) 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). MSC: 65M60 65M12 65M25 65M50 PDFBibTeX XMLCite \textit{K. Futai} et al., J. Sci. Comput. 92, No. 2, Paper No. 37, 33 p. (2022; Zbl 1490.65193) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{B. García-Archilla} et al., J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022; Zbl 1486.65167) Full Text: DOI arXiv
Pérez-López, Jhean E.; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J. Numerical analysis of a chemotaxis model for tumor invasion. (English) Zbl 1492.35376 Adv. Comput. Math. 48, No. 3, Paper No. 26, 28 p. (2022). MSC: 35Q92 92C17 92C50 92C15 35B09 35B36 65M60 65M22 65N30 65M15 65M12 92-08 PDFBibTeX XMLCite \textit{J. E. Pérez-López} et al., Adv. Comput. Math. 48, No. 3, Paper No. 26, 28 p. (2022; Zbl 1492.35376) Full Text: DOI
Campo, Marco; Copetti, Maria I. M.; Fernández, José R.; Quintanilla, Ramón On existence and numerical approximation in phase-lag thermoelasticity with two temperatures. (English) Zbl 1490.35481 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2221-2245 (2022). MSC: 35Q74 74H10 74F05 74S05 74S20 80A19 65M12 65M15 65M60 65M06 65N30 35A15 35B65 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{M. Campo} et al., Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2221--2245 (2022; Zbl 1490.35481) Full Text: DOI
Bermúdez, A.; López-Rodríguez, B.; Pena, F. J.; Rodríguez, R.; Salgado, P.; Venegas, P. Numerical solution of an axisymmetric eddy current model with current and voltage excitations. (English) Zbl 1484.65292 J. Sci. Comput. 91, No. 1, Paper No. 8, 26 p. (2022). MSC: 65N30 78A55 78M10 65N12 65N15 PDFBibTeX XMLCite \textit{A. Bermúdez} et al., J. Sci. Comput. 91, No. 1, Paper No. 8, 26 p. (2022; Zbl 1484.65292) 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 PDFBibTeX XMLCite \textit{V. C. Le} et al., Appl. Numer. Math. 173, 345--364 (2022; Zbl 1483.35237) Full Text: DOI
Wang, Danxia; Wang, Xingxing; Zhang, Ran; Jia, Hongen An unconditionally stable second-order linear scheme for the Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1518.65112 Appl. Numer. Math. 171, 58-75 (2022). MSC: 65M60 65M06 65N30 65M12 65M15 76D27 76D45 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{D. Wang} et al., Appl. Numer. Math. 171, 58--75 (2022; Zbl 1518.65112) Full Text: DOI
Danumjaya, P.; Pany, Ambit Kumar; Pani, Amiya K. Morley FEM for the fourth-order nonlinear reaction-diffusion problems. (English) Zbl 1524.65524 Comput. Math. Appl. 99, 229-245 (2021). MSC: 65M60 65N30 65N15 35J40 65N12 65M15 65M06 PDFBibTeX XMLCite \textit{P. Danumjaya} et al., Comput. Math. Appl. 99, 229--245 (2021; Zbl 1524.65524) 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 PDFBibTeX XMLCite \textit{Y. Yang} et al., Adv. Appl. Math. Mech. 13, No. 2, 311--332 (2021; Zbl 1488.76089) Full Text: DOI
Feng, Xiaobing; Qiu, Hailong Analysis of fully discrete mixed finite element methods for time-dependent stochastic Stokes equations with multiplicative noise. (English) Zbl 1491.65092 J. Sci. Comput. 88, No. 2, Paper No. 31, 25 p. (2021). MSC: 65M60 65M06 65N30 65N12 65N15 76D07 35Q35 35R60 PDFBibTeX XMLCite \textit{X. Feng} and \textit{H. Qiu}, J. Sci. Comput. 88, No. 2, Paper No. 31, 25 p. (2021; Zbl 1491.65092) Full Text: DOI arXiv
Yang, Yun-Bo; Jiang, Yao-Lin; Yu, Bo-Hao Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation. (English) Zbl 1476.65259 J. Sci. Comput. 87, No. 3, Paper No. 89, 32 p. (2021). MSC: 65M60 65M06 65N30 65M15 65N15 65N12 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y.-B. Yang} et al., J. Sci. Comput. 87, No. 3, Paper No. 89, 32 p. (2021; Zbl 1476.65259) 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 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{H. Zheng}, Comput. Math. Appl. 93, 265--288 (2021; Zbl 1524.76480) Full Text: DOI
Yang, Yun-Bo; Jiang, Yao-Lin Unconditional optimal error estimates of linearized backward Euler Galerkin FEMs for nonlinear Schrödinger-Helmholtz equations. (English) Zbl 1475.65135 Numer. Algorithms 86, No. 4, 1495-1522 (2021). Reviewer: Vit Dolejsi (Praha) MSC: 65M60 65M06 65N30 65N15 65N12 35Q55 35Q60 PDFBibTeX XMLCite \textit{Y.-B. Yang} and \textit{Y.-L. Jiang}, Numer. Algorithms 86, No. 4, 1495--1522 (2021; Zbl 1475.65135) Full Text: DOI
Le, Van Chien; Slodička, Marián; Van Bockstal, Karel Error estimates for the time discretization of an electromagnetic contact problem with moving non-magnetic conductor. (English) Zbl 1524.78078 Comput. Math. Appl. 87, 27-40 (2021). MSC: 78M10 78M20 35Q60 65Z05 76-02 65M60 65M06 65N30 65M12 65M15 PDFBibTeX XMLCite \textit{V. C. Le} et al., Comput. Math. Appl. 87, 27--40 (2021; Zbl 1524.78078) Full Text: DOI
Zheng, Bo; Shang, Yueqiang Two-level defect-correction stabilized algorithms for the simulation of 2D/3D steady Navier-Stokes equations with damping. (English) Zbl 1466.65210 Appl. Numer. Math. 163, 182-203 (2021). MSC: 65N30 65N12 65N15 76D05 35Q30 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Shang}, Appl. Numer. Math. 163, 182--203 (2021; Zbl 1466.65210) Full Text: DOI
Kadiri, Mostafa; Louaked, Mohammed; Mechkour, Houari Hydrodynamic design optimization using non stationary porous media model. (English) Zbl 1458.35336 J. Comput. Appl. Math. 386, Article ID 113193, 45 p. (2021). MSC: 35Q35 35B45 76D55 49Q10 65M60 65M06 65N30 65M15 65M12 76M10 76M20 PDFBibTeX XMLCite \textit{M. Kadiri} et al., J. Comput. Appl. Math. 386, Article ID 113193, 45 p. (2021; Zbl 1458.35336) Full Text: DOI
Manimaran, J.; Shangerganesh, L.; Debbouche, Amar Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy. (English) Zbl 1446.65116 J. Comput. Appl. Math. 382, Article ID 113066, 10 p. (2021). MSC: 65M60 65N30 65M06 65M12 65M15 35R11 26A33 35B45 74H10 PDFBibTeX XMLCite \textit{J. Manimaran} et al., J. Comput. Appl. Math. 382, Article ID 113066, 10 p. (2021; Zbl 1446.65116) Full Text: DOI
Yang, Yunbo; Jiang, Yaolin; Kong, Qiongxiang Two-grid stabilized FEMs based on Newton type linearization for the steady-state natural convection problem. (English) Zbl 1488.65666 Adv. Appl. Math. Mech. 12, No. 2, 407-435 (2020). MSC: 65N30 65N15 65N12 65N55 65H10 65D32 76R10 PDFBibTeX XMLCite \textit{Y. Yang} et al., Adv. Appl. Math. Mech. 12, No. 2, 407--435 (2020; Zbl 1488.65666) Full Text: DOI
An, Rong; Zhou, Can; Su, Jian A new higher order fractional-step method for the incompressible Navier-Stokes equations. (English) Zbl 1488.65217 Adv. Appl. Math. Mech. 12, No. 2, 362-385 (2020). MSC: 65M06 65N06 65M12 65M15 76D05 35Q30 PDFBibTeX XMLCite \textit{R. An} et al., Adv. Appl. Math. Mech. 12, No. 2, 362--385 (2020; Zbl 1488.65217) Full Text: DOI
Qiu, Hailong Error analysis of Euler semi-implicit scheme for the nonstationary magneto-hydrodynamics problem with temperature dependent parameters. (English) Zbl 1456.65121 J. Sci. Comput. 85, No. 2, Paper No. 47, 25 p. (2020). MSC: 65M60 65M06 65N30 65M12 65M15 76M10 78M20 76W05 35Q35 PDFBibTeX XMLCite \textit{H. Qiu}, J. Sci. Comput. 85, No. 2, Paper No. 47, 25 p. (2020; Zbl 1456.65121) Full Text: DOI
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Sánchez, Nestor A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations. (English) Zbl 1456.65155 J. Sci. Comput. 85, No. 2, Paper No. 44, 36 p. (2020). MSC: 65N30 65N12 65N15 80A19 76S05 76R05 76R50 76D07 35B45 35A01 35A02 35Q79 35Q35 PDFBibTeX XMLCite \textit{S. Caucao} et al., J. Sci. Comput. 85, No. 2, Paper No. 44, 36 p. (2020; Zbl 1456.65155) Full Text: DOI
Triki, Faouzi; Tsou, Chun-Hsiang Inverse inclusion problem: a stable method to determine disks. (English) Zbl 1442.35551 J. Differ. Equations 269, No. 4, 3259-3281 (2020). MSC: 35R30 35J25 PDFBibTeX XMLCite \textit{F. Triki} and \textit{C.-H. Tsou}, J. Differ. Equations 269, No. 4, 3259--3281 (2020; Zbl 1442.35551) Full Text: DOI HAL
Li, Yi; Hou, Yanren Error estimates of a second-order decoupled scheme for the evolutionary Stokes-Darcy system. (English) Zbl 1437.35584 Appl. Numer. Math. 154, 129-148 (2020). MSC: 35Q35 76S05 76D05 76M10 65N30 65L06 65M15 65M12 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Hou}, Appl. Numer. Math. 154, 129--148 (2020; Zbl 1437.35584) Full Text: DOI
Gatica, Gabriel N.; Inzunza, Cristian An augmented fully-mixed finite element method for a coupled flow-transport problem. (English) Zbl 1436.65179 Calcolo 57, No. 1, Paper No. 8, 41 p. (2020). MSC: 65N30 65N12 76R05 76R50 76D07 65N15 35Q35 35Q49 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{G. N. Gatica} and \textit{C. Inzunza}, Calcolo 57, No. 1, Paper No. 8, 41 p. (2020; Zbl 1436.65179) Full Text: DOI
An, Rong Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method. (English) Zbl 1436.65169 Adv. Comput. Math. 46, No. 1, Paper No. 5, 29 p. (2020). MSC: 65N30 76M10 65M06 65M12 65M15 76D05 PDFBibTeX XMLCite \textit{R. An}, Adv. Comput. Math. 46, No. 1, Paper No. 5, 29 p. (2020; Zbl 1436.65169) 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 PDFBibTeX XMLCite \textit{Y. Rong} and \textit{J. A. Fiordilino}, J. Sci. Comput. 82, No. 3, Paper No. 66, 22 p. (2020; Zbl 1436.76046) Full Text: DOI arXiv
Yu, Jiaping; Shi, Feng; Zhao, Jianping A stabilized coupled method and its optimal error estimates for elliptic interface problems. (English) Zbl 1485.82006 Adv. Difference Equ. 2019, Paper No. 400, 13 p. (2019). MSC: 82B24 65N30 65N15 35J25 76M10 65N12 PDFBibTeX XMLCite \textit{J. Yu} et al., Adv. Difference Equ. 2019, Paper No. 400, 13 p. (2019; Zbl 1485.82006) Full Text: DOI
Yang, Yang; Si, Zhiyong Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations. (English) Zbl 1442.65284 Comput. Math. Appl. 77, No. 1, 263-283 (2019). MSC: 65M60 65M12 65M15 65M25 76W05 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{Z. Si}, Comput. Math. Appl. 77, No. 1, 263--283 (2019; Zbl 1442.65284) Full Text: DOI
Bazarra, N.; Campo, M.; Fernández, J. R.; Quintanilla, R. Numerical analysis of a thermoelastic problem with dual-phase-lag heat conduction. (English) Zbl 1435.74091 Appl. Numer. Math. 140, 76-90 (2019). MSC: 74S05 74F05 65M60 65M12 65M15 80M10 PDFBibTeX XMLCite \textit{N. Bazarra} et al., Appl. Numer. Math. 140, 76--90 (2019; Zbl 1435.74091) Full Text: DOI Link
Burtschell, B.; Moireau, P.; Chapelle, D. Numerical analysis for an energy-stable total discretization of a poromechanics model with inf-sup stability. (English) Zbl 1428.65026 Acta Math. Appl. Sin., Engl. Ser. 35, No. 1, 28-53 (2019). Reviewer: Vanja Nikolić (Garching) MSC: 65M12 74H15 76S05 65M15 74F10 65M06 65N30 93C20 PDFBibTeX XMLCite \textit{B. Burtschell} et al., Acta Math. Appl. Sin., Engl. Ser. 35, No. 1, 28--53 (2019; Zbl 1428.65026) Full Text: DOI HAL
Li, Minghao; Shi, Dongyang; Li, Zhenzhen; Chen, Hongru Two-level mixed finite element methods for the Navier-Stokes equations with damping. (English) Zbl 1404.65177 J. Math. Anal. Appl. 470, No. 1, 292-307 (2019). MSC: 65M60 76D05 76M10 65M15 76D07 35A15 65M12 PDFBibTeX XMLCite \textit{M. Li} et al., J. Math. Anal. Appl. 470, No. 1, 292--307 (2019; Zbl 1404.65177) Full Text: DOI
Lei, Yanfang; Wang, Hongtao; Si, Zhiyong Optimal error estimate of the penalty FEM for the stationary conduction-convection problems. (English) Zbl 1488.76085 Adv. Appl. Math. Mech. 10, No. 3, 767-784 (2018). MSC: 76M10 65N12 65N30 35K61 PDFBibTeX XMLCite \textit{Y. Lei} et al., Adv. Appl. Math. Mech. 10, No. 3, 767--784 (2018; Zbl 1488.76085) Full Text: DOI
Zhao, Jing; Zhang, Tong; Qian, Yanxia Stability and convergence of second order time discrete projection method for the linearized Oldroyd model. (English) Zbl 1426.76324 Appl. Math. Comput. 316, 342-356 (2018). MSC: 76M10 76D05 65M60 65M15 76D07 PDFBibTeX XMLCite \textit{J. Zhao} et al., Appl. Math. Comput. 316, 342--356 (2018; Zbl 1426.76324) Full Text: DOI
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations. (English) Zbl 1426.65172 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1947-1980 (2018). Reviewer: Gerald Hofmann (Leipzig) MSC: 65N30 65N12 65N15 35Q79 80A20 76R05 76D07 35B45 76A10 PDFBibTeX XMLCite \textit{S. Caucao} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1947--1980 (2018; Zbl 1426.65172) Full Text: DOI
Ambartsumyan, Ilona; Khattatov, Eldar; Yotov, Ivan; Zunino, Paolo A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model. (English) Zbl 1406.76081 Numer. Math. 140, No. 2, 513-553 (2018). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 76S05 76D07 76M10 74F10 65M60 65M12 PDFBibTeX XMLCite \textit{I. Ambartsumyan} et al., Numer. Math. 140, No. 2, 513--553 (2018; Zbl 1406.76081) Full Text: DOI arXiv
Moore, Stephen Edward A stable space-time finite element method for parabolic evolution problems. (English) Zbl 1395.65051 Calcolo 55, No. 2, Paper No. 18, 19 p. (2018). MSC: 65M12 65M60 PDFBibTeX XMLCite \textit{S. E. Moore}, Calcolo 55, No. 2, Paper No. 18, 19 p. (2018; Zbl 1395.65051) Full Text: DOI arXiv
Jiang, Yao-Lin; Yang, Yun-Bo Analysis of some projection methods for the incompressible fluids with microstructure. (English) Zbl 1395.65129 J. Korean Math. Soc. 55, No. 2, 471-506 (2018). MSC: 65N15 65N30 65N12 65M12 65M06 76A05 76W05 PDFBibTeX XMLCite \textit{Y.-L. Jiang} and \textit{Y.-B. Yang}, J. Korean Math. Soc. 55, No. 2, 471--506 (2018; Zbl 1395.65129) Full Text: Link
Bonnetier, Eric; Triki, Faouzi; Tsou, Chun-Hsiang On the electro-sensing of weakly electric fish. (English) Zbl 1516.35496 J. Math. Anal. Appl. 464, No. 1, 280-303 (2018). MSC: 35R30 35J25 78A46 PDFBibTeX XMLCite \textit{E. Bonnetier} et al., J. Math. Anal. Appl. 464, No. 1, 280--303 (2018; Zbl 1516.35496) Full Text: DOI HAL
An, Rong; Su, Jian Optimal error estimates of semi-implicit Galerkin method for time-dependent nematic liquid crystal flows. (English) Zbl 1398.65245 J. Sci. Comput. 74, No. 2, 979-1008 (2018). MSC: 65M60 65M12 35Q35 76M10 76A15 PDFBibTeX XMLCite \textit{R. An} and \textit{J. Su}, J. Sci. Comput. 74, No. 2, 979--1008 (2018; Zbl 1398.65245) Full Text: DOI
Zhang, Yuhong; Hou, Yanren; Shan, Li Error estimates of a decoupled algorithm for a fluid-fluid interaction problem. (English) Zbl 1480.65277 J. Comput. Appl. Math. 333, 266-291 (2018). MSC: 65M60 65M15 65M12 76D05 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Comput. Appl. Math. 333, 266--291 (2018; Zbl 1480.65277) Full Text: DOI
Burman, Erik A stabilized nonconforming finite element method for the elliptic Cauchy problem. (English) Zbl 1351.65074 Math. Comput. 86, No. 303, 75-96 (2017). MSC: 65M60 65M12 65M15 35J15 35R25 65M30 PDFBibTeX XMLCite \textit{E. Burman}, Math. Comput. 86, No. 303, 75--96 (2017; Zbl 1351.65074) Full Text: DOI arXiv
Qian, Yanxia; Zhang, Tong On error estimates of the projection method for the time-dependent natural convection problem: first order scheme. (English) Zbl 1357.76042 Comput. Math. Appl. 72, No. 5, 1444-1465 (2016). MSC: 76M10 76R10 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Qian} and \textit{T. Zhang}, Comput. Math. Appl. 72, No. 5, 1444--1465 (2016; Zbl 1357.76042) Full Text: DOI
Song, Lina; Su, Haiyan; Feng, Xinlong Recovery-based error estimator for stabilized finite element method for the stationary Navier-Stokes problem. (English) Zbl 1457.65217 SIAM J. Sci. Comput. 38, No. 6, A3758-A3772 (2016). MSC: 65N30 65N15 65N12 65N50 76D05 76M10 35Q30 PDFBibTeX XMLCite \textit{L. Song} et al., SIAM J. Sci. Comput. 38, No. 6, A3758--A3772 (2016; Zbl 1457.65217) Full Text: DOI
An, Rong Optimal error estimates of linearized Crank-Nicolson Galerkin method for Landau-Lifshitz equation. (English) Zbl 1352.78013 J. Sci. Comput. 69, No. 1, 1-27 (2016). MSC: 78M10 65N12 65N30 35K61 65N15 78M20 82D40 PDFBibTeX XMLCite \textit{R. An}, J. Sci. Comput. 69, No. 1, 1--27 (2016; Zbl 1352.78013) Full Text: DOI
Cherfils, Laurence; Petcu, Madalina On the viscous Cahn-Hilliard-Navier-Stokes equations with dynamic boundary conditions. (English) Zbl 1348.65140 Commun. Pure Appl. Anal. 15, No. 4, 1419-1449 (2016). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{L. Cherfils} and \textit{M. Petcu}, Commun. Pure Appl. Anal. 15, No. 4, 1419--1449 (2016; Zbl 1348.65140) Full Text: DOI
Kaya, Utku; Wacker, Benjamin; Lube, Gert Stabilized nodal-based finite element methods for the magnetic induction problem. (English) Zbl 1388.76138 Math. Methods Appl. Sci. 39, No. 13, 3576-3590 (2016). MSC: 76M10 76W05 65M12 65M15 65M60 PDFBibTeX XMLCite \textit{U. Kaya} et al., Math. Methods Appl. Sci. 39, No. 13, 3576--3590 (2016; Zbl 1388.76138) Full Text: DOI
Bonheure, Denis; Földes, Juraj; Saldaña, Alberto Qualitative properties of solutions to mixed-diffusion bistable equations. (English) Zbl 1346.35070 Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 67, 23 p. (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35J91 35G30 35B06 35B32 35B45 35A01 35A02 PDFBibTeX XMLCite \textit{D. Bonheure} et al., Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 67, 23 p. (2016; Zbl 1346.35070) Full Text: DOI arXiv
Zhang, Guo-Dong; He, Yinnian Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation. (English) Zbl 1443.65232 Comput. Math. Appl. 69, No. 12, 1390-1406 (2015). MSC: 65M60 65M12 65M15 76W05 PDFBibTeX XMLCite \textit{G.-D. Zhang} and \textit{Y. He}, Comput. Math. Appl. 69, No. 12, 1390--1406 (2015; Zbl 1443.65232) Full Text: DOI
Huang, Pengzhan Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods. (English) Zbl 1317.65230 Calcolo 52, No. 1, 109-121 (2015). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N25 65N30 35P15 35Q30 65N12 65N15 PDFBibTeX XMLCite \textit{P. Huang}, Calcolo 52, No. 1, 109--121 (2015; Zbl 1317.65230) Full Text: DOI
Huang, Pengzhan; Zhao, Jianping; Feng, Xinlong An Oseen scheme for the conduction-convection equations based on a stabilized nonconforming method. (English) Zbl 1427.65365 Appl. Math. Modelling 38, No. 2, 535-547 (2014). MSC: 65N30 76M10 76D05 65N12 65N15 PDFBibTeX XMLCite \textit{P. Huang} et al., Appl. Math. Modelling 38, No. 2, 535--547 (2014; Zbl 1427.65365) Full Text: DOI
Zhang, Yunzhang; Hou, Yanren; Jia, Hongen Subgrid stabilized defect-correction method for a steady-state natural convection problem. (English) Zbl 1381.76210 Comput. Math. Appl. 67, No. 3, 497-514 (2014). MSC: 76M10 76R10 65N30 86A05 86A10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Comput. Math. Appl. 67, No. 3, 497--514 (2014; Zbl 1381.76210) Full Text: DOI
Ben Belgacem, Faker; Bernardi, Christine; Hecht, Frédéric; Salmon, Stéphanie Stabilized finite elements for a reaction-dispersion saddle-point problem with nonconstant coefficients. (English) Zbl 1311.65142 SIAM J. Numer. Anal. 52, No. 5, 2207-2226 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35J60 PDFBibTeX XMLCite \textit{F. Ben Belgacem} et al., SIAM J. Numer. Anal. 52, No. 5, 2207--2226 (2014; Zbl 1311.65142) Full Text: DOI
Huang, Pengzhan Superconvergence of a stabilized approximation for the Stokes eigenvalue problem by projection method. (English) Zbl 1340.65258 Appl. Math., Praha 59, No. 4, 361-370 (2014). MSC: 65N25 35P15 65N30 65N12 PDFBibTeX XMLCite \textit{P. Huang}, Appl. Math., Praha 59, No. 4, 361--370 (2014; Zbl 1340.65258) Full Text: DOI Link
Huang, Pengzhan; Feng, Xinlong; He, Yinnian A quadratic equal-order stabilized finite element method for the conduction-convection equations. (English) Zbl 1290.76064 Comput. Fluids 86, 169-176 (2013). MSC: 76M10 65N30 76R10 PDFBibTeX XMLCite \textit{P. Huang} et al., Comput. Fluids 86, 169--176 (2013; Zbl 1290.76064) Full Text: DOI
Stamm, Benjamin A posteriori estimates for the bubble stabilized discontinuous Galerkin method. (English) Zbl 1225.65103 J. Comput. Appl. Math. 235, No. 15, 4309-4324 (2011). Reviewer: Costică Moroşanu (Iaşi) MSC: 65N15 65N30 35J65 65N12 PDFBibTeX XMLCite \textit{B. Stamm}, J. Comput. Appl. Math. 235, No. 15, 4309--4324 (2011; Zbl 1225.65103) Full Text: DOI