Yin, Lina; Huang, Yunqing; Tang, Qili A generalized parametric iterative finite element method for the 2D/3D stationary incompressible magnetohydrodynamics. (English) Zbl 1528.76047 Appl. Numer. Math. 193, 242-261 (2023). MSC: 76M10 65N30 76W05 PDFBibTeX XMLCite \textit{L. Yin} et al., Appl. Numer. Math. 193, 242--261 (2023; Zbl 1528.76047) Full Text: DOI
Xu, Minqiang; Liu, Kai; Zhang, Lei Analysis of the MAC scheme for the three dimensional Stokes problem. (English) Zbl 1528.76052 Appl. Numer. Math. 193, 131-147 (2023). MSC: 76M12 65N08 76D07 PDFBibTeX XMLCite \textit{M. Xu} et al., Appl. Numer. Math. 193, 131--147 (2023; Zbl 1528.76052) Full Text: DOI
Jiang, Nan; Yang, Huanhuan Unconditionally stable, second order, decoupled ensemble schemes for computing evolutionary Boussinesq equations. (English) Zbl 1528.76042 Appl. Numer. Math. 192, 241-260 (2023). MSC: 76M10 65M60 65M12 76B03 76D05 PDFBibTeX XMLCite \textit{N. Jiang} and \textit{H. Yang}, Appl. Numer. Math. 192, 241--260 (2023; Zbl 1528.76042) Full Text: DOI
Lee, Eunjung An \(L^2\)-finite element approximation of the solution to div/curl-systems with nonempty null space. (English) Zbl 1528.65111 Appl. Numer. Math. 192, 70-83 (2023). MSC: 65N30 65F10 PDFBibTeX XMLCite \textit{E. Lee}, Appl. Numer. Math. 192, 70--83 (2023; Zbl 1528.65111) Full Text: DOI
Gao, Zhongxiong; Zhang, Hong; Qian, Xu; Song, Songhe High-order unconditionally maximum-principle-preserving parametric integrating factor Runge-Kutta schemes for the nonlocal Allen-Cahn equation. (English) Zbl 07763842 Appl. Numer. Math. 194, 97-114 (2023). MSC: 65Mxx 65Lxx 35Kxx PDFBibTeX XMLCite \textit{Z. Gao} et al., Appl. Numer. Math. 194, 97--114 (2023; Zbl 07763842) Full Text: DOI
Li, Yingyuan; Yan, Wenjing; Zhu, Shengfeng; Jing, Feifei Optimal error estimates of the discrete shape gradients for shape optimizations governed by the Stokes-Brinkman equations. (English) Zbl 07710415 Appl. Numer. Math. 190, 220-253 (2023). MSC: 65Nxx 76Mxx 76Dxx PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Numer. Math. 190, 220--253 (2023; Zbl 07710415) Full Text: DOI
Qin, Yi; Chen, Lele; Wang, Yang; Li, Yi; Li, Jian An adaptive time-stepping DLN decoupled algorithm for the coupled Stokes-Darcy model. (English) Zbl 1517.76049 Appl. Numer. Math. 188, 106-128 (2023). MSC: 76M20 76M10 76S05 65M12 PDFBibTeX XMLCite \textit{Y. Qin} et al., Appl. Numer. Math. 188, 106--128 (2023; Zbl 1517.76049) Full Text: DOI
Araya, Rodolfo; Cárcamo, Cristian; Poza, Abner H. A stabilized finite element method for the Stokes-temperature coupled problem. (English) Zbl 07705762 Appl. Numer. Math. 187, 24-49 (2023). MSC: 65N30 65N12 65N15 76D07 76M10 80A19 35B65 PDFBibTeX XMLCite \textit{R. Araya} et al., Appl. Numer. Math. 187, 24--49 (2023; Zbl 07705762) Full Text: DOI
Li, Meng; Wang, Lingli; Wang, Nan Variable-time-step BDF2 nonconforming VEM for coupled Ginzburg-Landau equations. (English) Zbl 07699047 Appl. Numer. Math. 186, 378-410 (2023). MSC: 65Mxx 65Nxx 35Qxx PDFBibTeX XMLCite \textit{M. Li} et al., Appl. Numer. Math. 186, 378--410 (2023; Zbl 07699047) Full Text: DOI
Liu, Wenju; Zhao, Tengjin; Ito, Kazufumi; Zhang, Zhiyue Error estimates of Fourier finite volume element method for parabolic Dirichlet boundary optimal control problems on complex connected domains. (English) Zbl 1516.49028 Appl. Numer. Math. 186, 164-201 (2023). MSC: 49M25 65N30 65M60 PDFBibTeX XMLCite \textit{W. Liu} et al., Appl. Numer. Math. 186, 164--201 (2023; Zbl 1516.49028) Full Text: DOI
Feng, Mengya; Sun, Tongjun Stochastic perturbation method for optimal control problem governed by parabolic PDEs with small uncertainties. (English) Zbl 07699020 Appl. Numer. Math. 185, 483-502 (2023). MSC: 65Nxx 65Cxx 60Hxx PDFBibTeX XMLCite \textit{M. Feng} and \textit{T. Sun}, Appl. Numer. Math. 185, 483--502 (2023; Zbl 07699020) Full Text: DOI
Garg, Divay; Porwal, Kamana Unified discontinuous Galerkin finite element methods for second order Dirichlet boundary control problem. (English) Zbl 07699013 Appl. Numer. Math. 185, 336-364 (2023). MSC: 65Nxx 49Mxx 65Kxx PDFBibTeX XMLCite \textit{D. Garg} and \textit{K. Porwal}, Appl. Numer. Math. 185, 336--364 (2023; Zbl 07699013) Full Text: DOI
Cao, Rongjun; Chen, Minghua; Qi, Yingfan; Shi, Jiankang; Yin, Xiaobo Analysis of (shifted) piecewise quadratic polynomial collocation for nonlocal diffusion model. (English) Zbl 07699002 Appl. Numer. Math. 185, 120-140 (2023). MSC: 65Mxx 65Nxx 65Rxx PDFBibTeX XMLCite \textit{R. Cao} et al., Appl. Numer. Math. 185, 120--140 (2023; Zbl 07699002) Full Text: DOI
Qiu, Hailong An optimally accurate second-order time-stepping algorithm for the nonstationary magneto-hydrodynamics equations. (English) Zbl 07630328 Appl. Numer. Math. 184, 151-170 (2023). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{H. Qiu}, Appl. Numer. Math. 184, 151--170 (2023; Zbl 07630328) Full Text: DOI
Chu, Xiaochen; Chen, Chuanjun; Zhang, Tong Stability and convergence of spatial discrete stabilized finite volume method for the unsteady incompressible magnetohydrodynamics equations. (English) Zbl 1502.65086 Appl. Numer. Math. 181, 436-467 (2022). MSC: 65M08 65M06 65N08 65M12 65M15 76W05 76M12 35Q35 PDFBibTeX XMLCite \textit{X. Chu} et al., Appl. Numer. Math. 181, 436--467 (2022; Zbl 1502.65086) Full Text: DOI
Zeng, Shilin; Xie, Ziqing; Yang, Xiaofeng; Wang, Jiangxing Efficient, linear and fast numerical algorithm for the volume conserved nonlocal Allen-Cahn equation. (English) Zbl 1502.65081 Appl. Numer. Math. 181, 204-224 (2022). MSC: 65M06 65N06 65M12 65M15 65T50 PDFBibTeX XMLCite \textit{S. Zeng} et al., Appl. Numer. Math. 181, 204--224 (2022; Zbl 1502.65081) Full Text: DOI
Hutzenthaler, Martin; Nguyen, Tuan Anh Multilevel Picard approximations of high-dimensional semilinear partial differential equations with locally monotone coefficient functions. (English) Zbl 1514.65144 Appl. Numer. Math. 181, 151-175 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 65M75 35K58 65C05 65M15 47J26 PDFBibTeX XMLCite \textit{M. Hutzenthaler} and \textit{T. A. Nguyen}, Appl. Numer. Math. 181, 151--175 (2022; Zbl 1514.65144) Full Text: DOI arXiv
Brachet, Matthieu; Debreu, Laurent; Eldred, Christopher Comparison of exponential integrators and traditional time integration schemes for the shallow water equations. (English) Zbl 1502.65054 Appl. Numer. Math. 180, 55-84 (2022). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65N06 PDFBibTeX XMLCite \textit{M. Brachet} et al., Appl. Numer. Math. 180, 55--84 (2022; Zbl 1502.65054) Full Text: DOI
Hu, Ye; Li, Changpin; Yan, Yubin Weak convergence of the L1 scheme for a stochastic subdiffusion problem driven by fractionally integrated additive noise. (English) Zbl 1496.65010 Appl. Numer. Math. 178, 192-215 (2022). MSC: 65C30 60H35 65M75 65M60 PDFBibTeX XMLCite \textit{Y. Hu} et al., Appl. Numer. Math. 178, 192--215 (2022; Zbl 1496.65010) Full Text: DOI
Ye, Xiu; Zhang, Shangyou A weak divergence CDG method for the biharmonic equation on triangular and tetrahedral meshes. (English) Zbl 1493.65237 Appl. Numer. Math. 178, 155-165 (2022). MSC: 65N30 65N50 65N15 35J05 31A30 PDFBibTeX XMLCite \textit{X. Ye} and \textit{S. Zhang}, Appl. Numer. Math. 178, 155--165 (2022; Zbl 1493.65237) Full Text: DOI
Xie, Changping; Fang, Shaomei Efficient numerical methods for Riesz space-fractional diffusion equations with fractional Neumann boundary conditions. (English) Zbl 1484.65191 Appl. Numer. Math. 176, 1-18 (2022). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{C. Xie} and \textit{S. Fang}, Appl. Numer. Math. 176, 1--18 (2022; Zbl 1484.65191) Full Text: DOI
Bi, Yuxin; Shan, Li; Zhang, Haicheng New decoupled method for the evolutionary dual-porosity-Stokes model with Beavers-Joseph interface conditions. (English) Zbl 1484.65210 Appl. Numer. Math. 175, 73-97 (2022). MSC: 65M60 65M12 65M15 76D07 PDFBibTeX XMLCite \textit{Y. Bi} et al., Appl. Numer. Math. 175, 73--97 (2022; Zbl 1484.65210) Full Text: DOI
Feng, Xinlong; Lu, Xiaoli; He, Yinnian Difference finite element method for the 3D steady Stokes equations. (English) Zbl 1482.76078 Appl. Numer. Math. 173, 418-433 (2022). MSC: 76M10 76M20 76D07 65N30 65N15 PDFBibTeX XMLCite \textit{X. Feng} et al., Appl. Numer. Math. 173, 418--433 (2022; Zbl 1482.76078) Full Text: DOI
Viguerie, Alex; Bertoluzza, Silvia; Veneziani, Alessandro; Auricchio, Ferdinando A theoretical and numerical analysis of a Dirichlet-Neumann domain decomposition method for diffusion problems in heterogeneous media. (English) Zbl 1491.65152 Appl. Numer. Math. 173, 94-111 (2022). Reviewer: Wei Gong (Beijing) MSC: 65N30 65N55 65N25 65N12 65F10 PDFBibTeX XMLCite \textit{A. Viguerie} et al., Appl. Numer. Math. 173, 94--111 (2022; Zbl 1491.65152) Full Text: DOI arXiv
Zhu, Peng; Xie, Shenglan Superconvergent weak Galerkin methods for non-self adjoint and indefinite elliptic problems. (English) Zbl 1484.65310 Appl. Numer. Math. 172, 300-314 (2022). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{P. Zhu} and \textit{S. Xie}, Appl. Numer. Math. 172, 300--314 (2022; Zbl 1484.65310) Full Text: DOI
Shan, Li; Zhang, Haicheng Partitioned time stepping method with different time scales for a dual-porosity-Stokes model. (English) Zbl 1522.65152 Appl. Numer. Math. 171, 281-306 (2022). MSC: 65M06 65M12 65M15 76D07 76S05 74L10 76M20 PDFBibTeX XMLCite \textit{L. Shan} and \textit{H. Zhang}, Appl. Numer. Math. 171, 281--306 (2022; Zbl 1522.65152) Full Text: DOI
Garg, Deepika; Ganesan, Sashikumaar An overlapping local projection stabilization for Galerkin approximations of Stokes and Darcy flow problems. (English) Zbl 1493.65201 Appl. Numer. Math. 171, 106-127 (2022). MSC: 65N30 65N15 65N12 76S05 76D07 76M10 35B45 35Q35 PDFBibTeX XMLCite \textit{D. Garg} and \textit{S. Ganesan}, Appl. Numer. Math. 171, 106--127 (2022; Zbl 1493.65201) Full Text: DOI
Li, Jian; Liu, Qian; Yue, Jing Numerical analysis of fully discrete finite element methods for the stochastic Navier-Stokes equations with multiplicative noise. (English) Zbl 1484.76042 Appl. Numer. Math. 170, 398-417 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76D06 76M35 65M12 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Numer. Math. 170, 398--417 (2021; Zbl 1484.76042) Full Text: DOI
Chidyagwai, Prince A second order multirate scheme for the evolutionary Stokes-Darcy model. (English) Zbl 1501.65067 Appl. Numer. Math. 170, 364-383 (2021). MSC: 65M60 65M06 65N30 65M12 76S05 76D07 PDFBibTeX XMLCite \textit{P. Chidyagwai}, Appl. Numer. Math. 170, 364--383 (2021; Zbl 1501.65067) Full Text: DOI
Mao, Wenting; Wang, Huasheng; Chen, Chuanjun A-posteriori error estimations based on postprocessing technique for two-sided fractional differential equations. (English) Zbl 1467.65072 Appl. Numer. Math. 167, 73-91 (2021). MSC: 65L10 34A08 65L60 65L70 PDFBibTeX XMLCite \textit{W. Mao} et al., Appl. Numer. Math. 167, 73--91 (2021; Zbl 1467.65072) Full Text: DOI
Cao, Luling; He, Yinnian; Li, Jian; Mahbub, Md. Abdullah Al Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model. (English) Zbl 1468.76038 Appl. Numer. Math. 166, 238-271 (2021). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 76S05 76D05 65M12 PDFBibTeX XMLCite \textit{L. Cao} et al., Appl. Numer. Math. 166, 238--271 (2021; Zbl 1468.76038) Full Text: DOI arXiv
Li, Wuyang; Xu, Yingxiang Schwarz domain decomposition methods for the fluid-fluid system with friction-type interface conditions. (English) Zbl 1465.76053 Appl. Numer. Math. 166, 114-126 (2021). MSC: 76M10 76T06 76D07 76M12 PDFBibTeX XMLCite \textit{W. Li} and \textit{Y. Xu}, Appl. Numer. Math. 166, 114--126 (2021; Zbl 1465.76053) Full Text: DOI
Zhou, Guanyu; Kashiwabara, Takahito; Oikawa, Issei; Chung, Eric; Shiue, Ming-Cheng An analysis on the penalty and Nitsche’s methods for the Stokes-Darcy system with a curved interface. (English) Zbl 1465.76058 Appl. Numer. Math. 165, 83-118 (2021). MSC: 76M10 76S05 76D07 65N15 65N12 PDFBibTeX XMLCite \textit{G. Zhou} et al., Appl. Numer. Math. 165, 83--118 (2021; Zbl 1465.76058) Full Text: DOI
Wang, Wansheng; Wang, Zheng; Li, Zhaoxiang Long time \(\mathcal{H}_\alpha^s\) stability of a classical scheme for Cahn-Hilliard equation with polynomial nonlinearity. (English) Zbl 1468.35152 Appl. Numer. Math. 165, 35-55 (2021). MSC: 35Q35 35B35 35B41 65M06 65T50 PDFBibTeX XMLCite \textit{W. Wang} et al., Appl. Numer. Math. 165, 35--55 (2021; Zbl 1468.35152) Full Text: DOI
Su, Haiyan; Feng, Xinlong; Zhao, Jianping Penalty decoupled iterative methods for the stationary natural convection equations with different Rayleigh numbers. (English) Zbl 1459.76083 Appl. Numer. Math. 163, 270-291 (2021). MSC: 76M10 76R10 65N12 80A19 PDFBibTeX XMLCite \textit{H. Su} et al., Appl. Numer. Math. 163, 270--291 (2021; Zbl 1459.76083) 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
Li, Wei; Fang, Jilin; Qin, Yi; Huang, Pengzhan Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization. (English) Zbl 1458.35340 Appl. Numer. Math. 160, 451-465 (2021). MSC: 35Q35 76S05 76D07 76E07 65M60 65M06 65N30 PDFBibTeX XMLCite \textit{W. Li} et al., Appl. Numer. Math. 160, 451--465 (2021; Zbl 1458.35340) Full Text: DOI
Zheng, Bo; Y. Q. Shang, Yueqiang A parallel stabilized finite element variational multiscale method based on fully overlapping domain decomposition for the incompressible Navier-Stokes equations. (English) Zbl 1459.65228 Appl. Numer. Math. 159, 138-158 (2021). MSC: 65N30 65N55 65Y05 PDFBibTeX XMLCite \textit{B. Zheng} and \textit{Y. Y. Q. Shang}, Appl. Numer. Math. 159, 138--158 (2021; Zbl 1459.65228) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. (English) Zbl 1452.65145 Appl. Numer. Math. 158, 271-291 (2020). MSC: 65M06 65N06 65M99 65M15 65M12 65D30 35R11 26A33 35K57 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 158, 271--291 (2020; Zbl 1452.65145) Full Text: DOI
Ding, Qianqian; Long, Xiaonian; Mao, Shipeng Convergence analysis of Crank-Nicolson extrapolated fully discrete scheme for thermally coupled incompressible magnetohydrodynamic system. (English) Zbl 1445.76052 Appl. Numer. Math. 157, 522-543 (2020). MSC: 76M10 76M20 76W05 65M12 65M15 PDFBibTeX XMLCite \textit{Q. Ding} et al., Appl. Numer. Math. 157, 522--543 (2020; Zbl 1445.76052) Full Text: DOI
Wu, Xiaolei; Yan, Yuyuan; Yan, Yubin An analysis of the L1 scheme for stochastic subdiffusion problem driven by integrated space-time white noise. (English) Zbl 1446.65120 Appl. Numer. Math. 157, 69-87 (2020). MSC: 65M60 65N30 65M06 65D32 65M15 35R11 26A33 60H15 60H40 60H35 44A10 35R60 PDFBibTeX XMLCite \textit{X. Wu} et al., Appl. Numer. Math. 157, 69--87 (2020; Zbl 1446.65120) Full Text: DOI Link
Demir, Medine; Kaya, Songül An analysis of a linearly extrapolated BDF2 subgrid artificial viscosity method for incompressible flows. (English) Zbl 1442.65359 Appl. Numer. Math. 156, 140-157 (2020). MSC: 65N30 65L06 35Q30 76D05 76M10 PDFBibTeX XMLCite \textit{M. Demir} and \textit{S. Kaya}, Appl. Numer. Math. 156, 140--157 (2020; Zbl 1442.65359) Full Text: DOI arXiv
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
Ge, Zhihao; He, Yanan; He, Yinnian A lowest equal-order stabilized mixed finite element method based on multiphysics approach for a poroelasticity model. (English) Zbl 1433.76084 Appl. Numer. Math. 153, 1-14 (2020). MSC: 76M10 76S05 74F10 65N30 PDFBibTeX XMLCite \textit{Z. Ge} et al., Appl. Numer. Math. 153, 1--14 (2020; Zbl 1433.76084) Full Text: DOI
Roop, John P. Discretization of fractional boundary value problems using split operator local extension problems. (English) Zbl 1464.65090 Appl. Numer. Math. 152, 267-274 (2020). MSC: 65M06 41A35 35R11 PDFBibTeX XMLCite \textit{J. P. Roop}, Appl. Numer. Math. 152, 267--274 (2020; Zbl 1464.65090) Full Text: DOI
Liu, Zhengguang; Li, Xiaoli Two fast and efficient linear semi-implicit approaches with unconditional energy stability for nonlocal phase field crystal equation. (English) Zbl 1434.65125 Appl. Numer. Math. 150, 491-506 (2020). MSC: 65M06 65F10 65M22 65J08 35K35 35K55 35Q82 82C26 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{X. Li}, Appl. Numer. Math. 150, 491--506 (2020; Zbl 1434.65125) Full Text: DOI
Kamranian, Maryam; Tatari, Mehdi; Dehghan, Mehdi Analysis of the stabilized element free Galerkin approximations to the Stokes equations. (English) Zbl 1448.76069 Appl. Numer. Math. 150, 325-340 (2020). MSC: 76D07 65M60 65M12 65M15 PDFBibTeX XMLCite \textit{M. Kamranian} et al., Appl. Numer. Math. 150, 325--340 (2020; Zbl 1448.76069) Full Text: DOI
Teng, Long; Lapitckii, Aleksandr; Günther, Michael A multi-step scheme based on cubic spline for solving backward stochastic differential equations. (English) Zbl 1433.60041 Appl. Numer. Math. 150, 117-138 (2020). MSC: 60H10 60H30 65C30 PDFBibTeX XMLCite \textit{L. Teng} et al., Appl. Numer. Math. 150, 117--138 (2020; Zbl 1433.60041) Full Text: DOI arXiv
Qin, Yi; Hou, Yanren The time filter for the non-stationary coupled Stokes/Darcy model. (English) Zbl 1448.76064 Appl. Numer. Math. 146, 260-275 (2019). MSC: 76D05 76S05 76M99 PDFBibTeX XMLCite \textit{Y. Qin} and \textit{Y. Hou}, Appl. Numer. Math. 146, 260--275 (2019; Zbl 1448.76064) Full Text: DOI
Li, Yuan; Luo, Xuelan Second-order semi-implicit Crank-Nicolson scheme for a coupled magnetohydrodynamics system. (English) Zbl 1448.76194 Appl. Numer. Math. 145, 48-68 (2019). MSC: 76W05 76M10 65M15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{X. Luo}, Appl. Numer. Math. 145, 48--68 (2019; Zbl 1448.76194) Full Text: DOI
Fareed, Hiba; Singler, John R. A note on incremental POD algorithms for continuous time data. (English) Zbl 1416.65349 Appl. Numer. Math. 144, 223-233 (2019). MSC: 65M60 65F30 65M15 PDFBibTeX XMLCite \textit{H. Fareed} and \textit{J. R. Singler}, Appl. Numer. Math. 144, 223--233 (2019; Zbl 1416.65349) Full Text: DOI arXiv
Qiu, Hailong; Mei, Liquan Multi-level stabilized algorithms for the stationary incompressible Navier-Stokes equations with damping. (English) Zbl 1419.65120 Appl. Numer. Math. 143, 188-202 (2019). MSC: 76M10 65N30 35Q30 76D05 65N15 PDFBibTeX XMLCite \textit{H. Qiu} and \textit{L. Mei}, Appl. Numer. Math. 143, 188--202 (2019; Zbl 1419.65120) Full Text: DOI
Zmour, Lhassane; Bouidi, Abderrahim A numerical approximation with WLS/SUPG algorithm for solving White-Metzner viscoelastic flows. (English) Zbl 1478.76054 Appl. Numer. Math. 141, 206-219 (2019). MSC: 76M10 65N30 35Q35 65N15 76A10 76D07 PDFBibTeX XMLCite \textit{L. Zmour} and \textit{A. Bouidi}, Appl. Numer. Math. 141, 206--219 (2019; Zbl 1478.76054) Full Text: DOI
Li, Shishun; Chen, Rongliang; Shao, Xinping Parallel two-level space-time hybrid Schwarz method for solving linear parabolic equations. (English) Zbl 1416.65332 Appl. Numer. Math. 139, 120-135 (2019). MSC: 65M55 65M12 35K10 65F08 65F10 65Y05 PDFBibTeX XMLCite \textit{S. Li} et al., Appl. Numer. Math. 139, 120--135 (2019; Zbl 1416.65332) Full Text: DOI
Hou, Tianliang; Leng, Haitao Superconvergence analysis and two-grid algorithms of pseudostress-velocity MFEM for optimal control problems governed by Stokes equations. (English) Zbl 1462.65190 Appl. Numer. Math. 138, 78-93 (2019). MSC: 65N30 65N12 65N15 65N55 49M25 76D07 76M10 PDFBibTeX XMLCite \textit{T. Hou} and \textit{H. Leng}, Appl. Numer. Math. 138, 78--93 (2019; Zbl 1462.65190) Full Text: DOI
Xu, Liwei; Zhang, Shangyou; Hsiao, George C. Nonsingular kernel boundary integral and finite element coupling method. (English) Zbl 1417.65210 Appl. Numer. Math. 137, 80-90 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N30 65N38 65N12 PDFBibTeX XMLCite \textit{L. Xu} et al., Appl. Numer. Math. 137, 80--90 (2019; Zbl 1417.65210) Full Text: DOI
Yang, Xiaofeng; Zhang, Guo-Dong; He, Xiaoming Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations. (English) Zbl 1405.76026 Appl. Numer. Math. 136, 235-256 (2019). MSC: 76M10 35Q35 65M12 76W05 PDFBibTeX XMLCite \textit{X. Yang} et al., Appl. Numer. Math. 136, 235--256 (2019; Zbl 1405.76026) Full Text: DOI
Liu, Zhengguang; Cheng, Aijie; Li, Xiaoli A novel finite difference discrete scheme for the time fractional diffusion-wave equation. (English) Zbl 1397.65141 Appl. Numer. Math. 134, 17-30 (2018). MSC: 65M06 35R11 65M12 35R09 65M15 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Numer. Math. 134, 17--30 (2018; Zbl 1397.65141) Full Text: DOI
Dunca, Argus A. Estimates of the discrete van Cittert deconvolution error in approximate deconvolution models of turbulence in bounded domains. (English) Zbl 1404.65230 Appl. Numer. Math. 134, 1-10 (2018). MSC: 65N15 65N30 35Q30 65D05 76F65 PDFBibTeX XMLCite \textit{A. A. Dunca}, Appl. Numer. Math. 134, 1--10 (2018; Zbl 1404.65230) Full Text: DOI
Choi, Youngmi; Lee, Hyung-Chun Error analysis of finite element approximations of the optimal control problem for stochastic Stokes equations with additive white noise. (English) Zbl 1397.65255 Appl. Numer. Math. 133, 144-160 (2018). MSC: 65N30 35R60 60H15 35Q93 35Q30 60H35 76D07 PDFBibTeX XMLCite \textit{Y. Choi} and \textit{H.-C. Lee}, Appl. Numer. Math. 133, 144--160 (2018; Zbl 1397.65255) Full Text: DOI
Brauss, K. D.; Meir, A. J. On a parallel, 3-dimensional, finite element solver for viscous, resistive, stationary magnetohydrodynamics equations: velocity-current formulation. (English) Zbl 1395.76038 Appl. Numer. Math. 133, 130-143 (2018). MSC: 76M10 65Y05 65M60 76W05 35Q35 PDFBibTeX XMLCite \textit{K. D. Brauss} and \textit{A. J. Meir}, Appl. Numer. Math. 133, 130--143 (2018; Zbl 1395.76038) Full Text: DOI
Zhang, Xiaoping; Wu, Jiming; Ju, Lili An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems. (English) Zbl 1405.65158 Appl. Numer. Math. 133, 52-68 (2018). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N35 74S25 65D32 15B05 65R20 PDFBibTeX XMLCite \textit{X. Zhang} et al., Appl. Numer. Math. 133, 52--68 (2018; Zbl 1405.65158) Full Text: DOI
Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin A stabilized finite volume element method for a coupled Stokes-Darcy problem. (English) Zbl 1404.65221 Appl. Numer. Math. 133, 2-24 (2018). MSC: 65N08 76D07 76S05 76M12 65N30 65N15 PDFBibTeX XMLCite \textit{R. Li} et al., Appl. Numer. Math. 133, 2--24 (2018; Zbl 1404.65221) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa An efficient technique based on finite difference/finite element method for solution of two-dimensional space/multi-time fractional Bloch-Torrey equations. (English) Zbl 1395.65074 Appl. Numer. Math. 131, 190-206 (2018). MSC: 65M60 35R11 65M15 65M12 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 131, 190--206 (2018; Zbl 1395.65074) Full Text: DOI
Ge, Zhihao; Ma, Mengxia Multirate iterative scheme based on multiphysics discontinuous Galerkin method for a poroelasticity model. (English) Zbl 1393.65030 Appl. Numer. Math. 128, 125-138 (2018). MSC: 65M60 76S05 74F10 65M15 76D07 35Q35 65M12 PDFBibTeX XMLCite \textit{Z. Ge} and \textit{M. Ma}, Appl. Numer. Math. 128, 125--138 (2018; Zbl 1393.65030) Full Text: DOI
Li, Yuan; Ma, Yanjie; An, Rong Decoupled, semi-implicit scheme for a coupled system arising in magnetohydrodynamics problem. (English) Zbl 1425.76303 Appl. Numer. Math. 127, 142-163 (2018). MSC: 76W05 76M10 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Numer. Math. 127, 142--163 (2018; Zbl 1425.76303) Full Text: DOI
Ta, Thi Thanh Mai; Le, Van Chien; Pham, Ha Thanh Shape optimization for Stokes flows using sensitivity analysis and finite element method. (English) Zbl 1462.65200 Appl. Numer. Math. 126, 160-179 (2018); corrigendum ibid. 129, 192 (2018). MSC: 65N30 76D07 49Q10 49Q12 76M10 PDFBibTeX XMLCite \textit{T. T. M. Ta} et al., Appl. Numer. Math. 126, 160--179 (2018; Zbl 1462.65200) Full Text: DOI
González, María; Selgas, Virginia Analysis of a velocity-stress-pressure formulation for a fluid-structure interaction problem. (English) Zbl 1433.74044 Appl. Numer. Math. 123, 275-299 (2018). MSC: 74F10 76D07 76M10 65M60 65M15 PDFBibTeX XMLCite \textit{M. González} and \textit{V. Selgas}, Appl. Numer. Math. 123, 275--299 (2018; Zbl 1433.74044) Full Text: DOI
Qiu, Hailong; An, Rong; Mei, Liquan; Xue, Changfeng Two-step algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions. (English) Zbl 06755529 Appl. Numer. Math. 120, 97-114 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{H. Qiu} et al., Appl. Numer. Math. 120, 97--114 (2017; Zbl 06755529) Full Text: DOI
Hessari, Peyman; Shin, Byeong-Chun First order system least squares pseudo-spectral method for Stokes-Darcy equations. (English) Zbl 1462.65210 Appl. Numer. Math. 120, 35-52 (2017). MSC: 65N35 76S05 76D07 41A50 42C10 76M22 PDFBibTeX XMLCite \textit{P. Hessari} and \textit{B.-C. Shin}, Appl. Numer. Math. 120, 35--52 (2017; Zbl 1462.65210) Full Text: DOI
Liu, Zhengguang; Cheng, Aijie; Li, Xiaoli; Wang, Hong A fast solution technique for finite element discretization of the space-time fractional diffusion equation. (English) Zbl 1368.65194 Appl. Numer. Math. 119, 146-163 (2017). MSC: 65M60 35K20 35R11 65T50 65M15 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Numer. Math. 119, 146--163 (2017; Zbl 1368.65194) Full Text: DOI
Huang, Pengzhan An efficient two-level finite element algorithm for the natural convection equations. (English) Zbl 1367.65170 Appl. Numer. Math. 118, 75-86 (2017). MSC: 65N30 35J60 65N15 65N12 PDFBibTeX XMLCite \textit{P. Huang}, Appl. Numer. Math. 118, 75--86 (2017; Zbl 1367.65170) Full Text: DOI
Yang, Huanhuan; Veneziani, Alessandro Efficient estimation of cardiac conductivities via POD-DEIM model order reduction. (English) Zbl 1361.92046 Appl. Numer. Math. 115, 180-199 (2017). MSC: 92C55 65M55 PDFBibTeX XMLCite \textit{H. Yang} and \textit{A. Veneziani}, Appl. Numer. Math. 115, 180--199 (2017; Zbl 1361.92046) Full Text: DOI arXiv
An, Rong; Li, Yuan Error analysis of first-order projection method for time-dependent magnetohydrodynamics equations. (English) Zbl 06657058 Appl. Numer. Math. 112, 167-181 (2017). MSC: 65-XX PDFBibTeX XMLCite \textit{R. An} and \textit{Y. Li}, Appl. Numer. Math. 112, 167--181 (2017; Zbl 06657058) Full Text: DOI
Huang, Peiqi; Cai, Mingchao; Wang, Feng A Newton type linearization based two grid method for coupling fluid flow with porous media flow. (English) Zbl 1381.76176 Appl. Numer. Math. 106, 182-198 (2016). MSC: 76M10 65N30 76S05 PDFBibTeX XMLCite \textit{P. Huang} et al., Appl. Numer. Math. 106, 182--198 (2016; Zbl 1381.76176) Full Text: DOI
Yılmaz, Fikriye; Çıbık, Aytekin A projection-based variational multiscale method for the optimal control problems governed by the stationary Navier-Stokes equations. (English) Zbl 1381.76072 Appl. Numer. Math. 106, 116-128 (2016). MSC: 76D55 76M10 65N30 49M25 76D05 PDFBibTeX XMLCite \textit{F. Yılmaz} and \textit{A. Çıbık}, Appl. Numer. Math. 106, 116--128 (2016; Zbl 1381.76072) Full Text: DOI
Mohapatra, Subhashree; Husain, Akhlaq Least-squares spectral element method for three dimensional Stokes equations. (English) Zbl 06551942 Appl. Numer. Math. 102, 31-54 (2016). MSC: 65-XX PDFBibTeX XMLCite \textit{S. Mohapatra} and \textit{A. Husain}, Appl. Numer. Math. 102, 31--54 (2016; Zbl 06551942) Full Text: DOI
Chniti, Chokri; Eisa Ali Alhazmi, Sharefa; Altoum, Sami H.; Toujani, Moncef DtN and NtD surface radiation conditions for two-dimensional acoustic scattering: formal derivation and numerical validation. (English) Zbl 1342.74161 Appl. Numer. Math. 101, 53-70 (2016). MSC: 74S05 76M10 76Q05 74J20 74J15 PDFBibTeX XMLCite \textit{C. Chniti} et al., Appl. Numer. Math. 101, 53--70 (2016; Zbl 1342.74161) Full Text: DOI
Qiu, Hailong; Mei, Liquan; Liu, Hui; Cartwright, Stephen A defect-correction stabilized finite element method for Navier-Stokes equations with friction boundary conditions. (English) Zbl 1326.76066 Appl. Numer. Math. 90, 9-21 (2015). MSC: 76M10 65N30 65K15 65N15 76D05 35Q30 PDFBibTeX XMLCite \textit{H. Qiu} et al., Appl. Numer. Math. 90, 9--21 (2015; Zbl 1326.76066) Full Text: DOI
Ganesh, M.; Thompson, T. Schrödinger eigenbasis on a class of superconducting surfaces: ansatz, analysis, FEM approximations and computations. (English) Zbl 1308.82091 Appl. Numer. Math. 89, 45-75 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35Q56 35P20 65N25 65N30 PDFBibTeX XMLCite \textit{M. Ganesh} and \textit{T. Thompson}, Appl. Numer. Math. 89, 45--75 (2015; Zbl 1308.82091) Full Text: DOI
Ahmed, Naveed; Matthies, Gunar; Tobiska, Lutz Stabilized finite element discretization applied to an operator-splitting method of population balance equations. (English) Zbl 1382.65304 Appl. Numer. Math. 70, 58-79 (2013). MSC: 65M60 65M12 65M15 92D25 PDFBibTeX XMLCite \textit{N. Ahmed} et al., Appl. Numer. Math. 70, 58--79 (2013; Zbl 1382.65304) Full Text: DOI
Huang, Pengzhan; Feng, Xinlong; Liu, Demin Two-level stabilized method based on three corrections for the stationary Navier-Stokes equations. (English) Zbl 1302.76103 Appl. Numer. Math. 62, No. 8, 988-1001 (2012). MSC: 76M10 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{P. Huang} et al., Appl. Numer. Math. 62, No. 8, 988--1001 (2012; Zbl 1302.76103) Full Text: DOI
Maischak, M.; Oestmann, S.; Stephan, E. P. A least-squares FEM-BEM coupling method for linear elasticity. (English) Zbl 1237.74184 Appl. Numer. Math. 62, No. 4, 457-472 (2012). MSC: 74S05 74S15 PDFBibTeX XMLCite \textit{M. Maischak} et al., Appl. Numer. Math. 62, No. 4, 457--472 (2012; Zbl 1237.74184) Full Text: DOI
Chacón Rebollo, Tomás; Gómez Mármol, Macarena; Sánchez Muñoz, Isabel Numerical solution of the primitive equations of the ocean by the orthogonal sub-scales VMS method. (English) Zbl 1237.86002 Appl. Numer. Math. 62, No. 4, 342-359 (2012). MSC: 86A05 76M10 35Q35 65N30 PDFBibTeX XMLCite \textit{T. Chacón Rebollo} et al., Appl. Numer. Math. 62, No. 4, 342--359 (2012; Zbl 1237.86002) Full Text: DOI
Layton, W.; Trenchea, C. Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations. (English) Zbl 1237.65101 Appl. Numer. Math. 62, No. 2, 112-120 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M12 65M06 35K55 PDFBibTeX XMLCite \textit{W. Layton} and \textit{C. Trenchea}, Appl. Numer. Math. 62, No. 2, 112--120 (2012; Zbl 1237.65101) Full Text: DOI
Li, Yuan; An, Rong Two-level pressure projection finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions. (English) Zbl 1371.76094 Appl. Numer. Math. 61, No. 3, 285-297 (2011). MSC: 76M10 65N30 76D05 35Q30 65K15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{R. An}, Appl. Numer. Math. 61, No. 3, 285--297 (2011; Zbl 1371.76094) Full Text: DOI
Chen, T. F.; Cox, C. L.; Lee, H. C.; Tung, K. L. Least-squares finite element methods for generalized Newtonian and viscoelastic flows. (English) Zbl 1355.76035 Appl. Numer. Math. 60, No. 10, 1024-1040 (2010). MSC: 76M10 76A05 76A10 PDFBibTeX XMLCite \textit{T. F. Chen} et al., Appl. Numer. Math. 60, No. 10, 1024--1040 (2010; Zbl 1355.76035) Full Text: DOI
Gao, Zhiming; Ma, Yichen A new stabilized finite element method for shape optimization in the steady Navier-Stokes flow. (English) Zbl 1425.74502 Appl. Numer. Math. 60, No. 8, 816-832 (2010). MSC: 74S30 74S05 74F10 74P10 35Q30 PDFBibTeX XMLCite \textit{Z. Gao} and \textit{Y. Ma}, Appl. Numer. Math. 60, No. 8, 816--832 (2010; Zbl 1425.74502) Full Text: DOI
Osei-Kuffuor, Daniel; Saad, Yousef Preconditioning Helmholtz linear systems. (English) Zbl 1190.65048 Appl. Numer. Math. 60, No. 4, 420-431 (2010). MSC: 65F08 65F10 35J05 65N30 PDFBibTeX XMLCite \textit{D. Osei-Kuffuor} and \textit{Y. Saad}, Appl. Numer. Math. 60, No. 4, 420--431 (2010; Zbl 1190.65048) Full Text: DOI
Kumar, N. Kishore; Raju, G. Naga Least-squares hp/spectral element method for elliptic problems. (English) Zbl 1189.65289 Appl. Numer. Math. 60, No. 1-2, 38-54 (2010). MSC: 65N35 35J05 65F08 PDFBibTeX XMLCite \textit{N. K. Kumar} and \textit{G. N. Raju}, Appl. Numer. Math. 60, No. 1--2, 38--54 (2010; Zbl 1189.65289) Full Text: DOI
Knobloch, Petr; Lube, Gert Local projection stabilization for advection-diffusion-reaction problems: one-level vs. two-level approach. (English) Zbl 1180.65139 Appl. Numer. Math. 59, No. 12, 2891-2907 (2009). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N12 65N30 65N15 35J25 PDFBibTeX XMLCite \textit{P. Knobloch} and \textit{G. Lube}, Appl. Numer. Math. 59, No. 12, 2891--2907 (2009; Zbl 1180.65139) Full Text: DOI
Pulch, Roland Polynomial chaos for multirate partial differential algebraic equations with random parameters. (English) Zbl 1171.65092 Appl. Numer. Math. 59, No. 10, 2610-2624 (2009). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P20 35R60 35L50 65N06 65L80 35R10 PDFBibTeX XMLCite \textit{R. Pulch}, Appl. Numer. Math. 59, No. 10, 2610--2624 (2009; Zbl 1171.65092) Full Text: DOI
Luo, Zhendong; Zhou, Yanjie; Yang, Xiaozhong A reduced finite element formulation based on proper orthogonal decomposition for Burgers equation. (English) Zbl 1169.65096 Appl. Numer. Math. 59, No. 8, 1933-1946 (2009). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65M60 35Q53 65M15 PDFBibTeX XMLCite \textit{Z. Luo} et al., Appl. Numer. Math. 59, No. 8, 1933--1946 (2009; Zbl 1169.65096) Full Text: DOI
Abdelwahed, Mohamed; Hassine, Maatoug Topological optimization method for a geometric control problem in Stokes flow. (English) Zbl 1165.76011 Appl. Numer. Math. 59, No. 8, 1823-1838 (2009). MSC: 76D55 76D07 PDFBibTeX XMLCite \textit{M. Abdelwahed} and \textit{M. Hassine}, Appl. Numer. Math. 59, No. 8, 1823--1838 (2009; Zbl 1165.76011) Full Text: DOI
Barucq, H.; Djellouli, R.; Saint-Guirons, A. Performance assessment of a new class of local absorbing boundary conditions for elliptical- and prolate spheroidal-shaped boundaries. (English) Zbl 1162.65404 Appl. Numer. Math. 59, No. 7, 1467-1498 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{H. Barucq} et al., Appl. Numer. Math. 59, No. 7, 1467--1498 (2009; Zbl 1162.65404) Full Text: DOI Link
Duan, Huo-Yuan; Gao, Shao-Qin; Jiang, Bo-Nan; Tan, Roger C. E. Analysis of a least-squares finite element method for the thin plate problem. (English) Zbl 1159.74037 Appl. Numer. Math. 59, No. 5, 976-987 (2009). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{H.-Y. Duan} et al., Appl. Numer. Math. 59, No. 5, 976--987 (2009; Zbl 1159.74037) Full Text: DOI
Kim, Sang Dong; Shin, Byeong-Chun Adjoint pseudospectral least-squares methods for an elliptic boundary value problem. (English) Zbl 1159.65096 Appl. Numer. Math. 59, No. 2, 334-348 (2009). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 65N15 35J25 65N12 PDFBibTeX XMLCite \textit{S. D. Kim} and \textit{B.-C. Shin}, Appl. Numer. Math. 59, No. 2, 334--348 (2009; Zbl 1159.65096) Full Text: DOI
Cao, Zhi-Hao Constraint Schur complement preconditioners for nonsymmetric saddle point problems. (English) Zbl 1161.65037 Appl. Numer. Math. 59, No. 1, 151-169 (2009). Reviewer: Jiri Náprstek (Praha) MSC: 65F35 65F10 15A12 76D07 76M10 76M22 35Q30 65M60 65M70 PDFBibTeX XMLCite \textit{Z.-H. Cao}, Appl. Numer. Math. 59, No. 1, 151--169 (2009; Zbl 1161.65037) Full Text: DOI
He, Yinnian; Li, Jian A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations. (English) Zbl 1155.35406 Appl. Numer. Math. 58, No. 10, 1503-1514 (2008). MSC: 35Q30 65N30 65N15 76M10 PDFBibTeX XMLCite \textit{Y. He} and \textit{J. Li}, Appl. Numer. Math. 58, No. 10, 1503--1514 (2008; Zbl 1155.35406) Full Text: DOI
Gao, Zhiming; Ma, Yichen; Zhuang, Hongwei Shape optimization for Stokes flow. (English) Zbl 1147.49035 Appl. Numer. Math. 58, No. 6, 827-844 (2008). MSC: 49Q10 35Q30 49K40 PDFBibTeX XMLCite \textit{Z. Gao} et al., Appl. Numer. Math. 58, No. 6, 827--844 (2008; Zbl 1147.49035) Full Text: DOI arXiv