Alshehri, Najwa; Boffi, Daniele; Gastaldi, Lucia Unfitted mixed finite element methods for elliptic interface problems. (English) Zbl 07798415 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23063, 24 p. (2024). MSC: 65N30 35J25 76M10 PDFBibTeX XMLCite \textit{N. Alshehri} et al., Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23063, 24 p. (2024; Zbl 07798415) Full Text: DOI arXiv
Yang, Huaijun; Jia, Xu Superconvergence analysis of the bilinear-constant scheme for two-dimensional incompressible convective Brinkman-Forchheimer equations. (English) Zbl 07798412 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23060, 20 p. (2024). MSC: 65N30 65M60 76M10 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Jia}, Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e23060, 20 p. (2024; Zbl 07798412) Full Text: DOI
Wang, Junping; Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou; Zhu, Peng Two-order superconvergence for a weak Galerkin method on rectangular and cuboid grids. (English) Zbl 07779729 Numer. Methods Partial Differ. Equations 39, No. 1, 744-758 (2023). MSC: 65N30 65N12 65N15 35J25 PDFBibTeX XMLCite \textit{J. Wang} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 744--758 (2023; Zbl 07779729) Full Text: DOI
Zhang, Huili; Feng, Xinlong; Wang, Kun Anisotropic immersed finite element methods for 1D elliptic interface systems. (English) Zbl 07779720 Numer. Methods Partial Differ. Equations 39, No. 1, 523-543 (2023). MSC: 65N30 65N15 65D05 35J15 35D30 35A01 35A02 PDFBibTeX XMLCite \textit{H. Zhang} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 523--543 (2023; Zbl 07779720) Full Text: DOI
Alonso-Rodríguez, Ana; Camaño, Jessika; De Los Santos, Eduardo; Rodríguez, Rodolfo Divergence-free finite elements for the numerical solution of a hydroelastic vibration problem. (English) Zbl 07779704 Numer. Methods Partial Differ. Equations 39, No. 1, 163-186 (2023). MSC: 65N30 65N25 76D03 74F10 74B10 74H45 35A15 74S05 76M10 35Q74 35Q35 PDFBibTeX XMLCite \textit{A. Alonso-Rodríguez} et al., Numer. Methods Partial Differ. Equations 39, No. 1, 163--186 (2023; Zbl 07779704) Full Text: DOI
Li, Dan; Wang, Chunmei A simplified primal-dual weak Galerkin finite element method for Fokker-Planck-type equations. (English) Zbl 1528.65113 Numer. Methods Partial Differ. Equations 39, No. 5, 3942-3963 (2023). MSC: 65N30 35Q82 PDFBibTeX XMLCite \textit{D. Li} and \textit{C. Wang}, Numer. Methods Partial Differ. Equations 39, No. 5, 3942--3963 (2023; Zbl 1528.65113) Full Text: DOI arXiv
Xie, Yingying; Cao, Shuhao; Chen, Long; Zhong, Liuqiang Convergence and optimality of an adaptive modified weak Galerkin finite element method. (English) Zbl 07777380 Numer. Methods Partial Differ. Equations 39, No. 5, 3847-3873 (2023). MSC: 65N30 65N50 65N12 65N15 35Q35 PDFBibTeX XMLCite \textit{Y. Xie} et al., Numer. Methods Partial Differ. Equations 39, No. 5, 3847--3873 (2023; Zbl 07777380) Full Text: DOI arXiv
Yim, Jaeryun; Sheen, Dongwoo; Sim, Imbo \(P_1\)-nonconforming quadrilateral finite element space with periodic boundary conditions. II: Application to the nonconforming heterogeneous multiscale method. (English) Zbl 07777356 Numer. Methods Partial Differ. Equations 39, No. 4, 3309-3331 (2023). MSC: 65N30 65N15 65D30 65F10 65F05 35B27 35B05 35A01 35A02 PDFBibTeX XMLCite \textit{J. Yim} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 3309--3331 (2023; Zbl 07777356) Full Text: DOI arXiv
Ray, Tanushree; Sinha, Rajen Kumar Residual-based a posteriori error estimates for nonconforming finite element approximation to parabolic interface problems. (English) Zbl 07777341 Numer. Methods Partial Differ. Equations 39, No. 4, 2935-2962 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{T. Ray} and \textit{R. K. Sinha}, Numer. Methods Partial Differ. Equations 39, No. 4, 2935--2962 (2023; Zbl 07777341) Full Text: DOI
Deka, Bhupen; Kumar, Naresh A systematic study on weak Galerkin finite element method for second-order parabolic problems. (English) Zbl 07777013 Numer. Methods Partial Differ. Equations 39, No. 3, 2444-2474 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. Deka} and \textit{N. Kumar}, Numer. Methods Partial Differ. Equations 39, No. 3, 2444--2474 (2023; Zbl 07777013) Full Text: DOI arXiv
Mu, Lin A pressure-robust weak Galerkin finite element method for Navier-Stokes equations. (English) Zbl 07777009 Numer. Methods Partial Differ. Equations 39, No. 3, 2327-2354 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{L. Mu}, Numer. Methods Partial Differ. Equations 39, No. 3, 2327--2354 (2023; Zbl 07777009) Full Text: DOI arXiv
Xu, Minqiang; Lin, Runchang; Zou, Qingsong A \(C^0\) linear finite element method for a second-order elliptic equation in non-divergence form with Cordes coefficients. (English) Zbl 07777005 Numer. Methods Partial Differ. Equations 39, No. 3, 2244-2269 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{M. Xu} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2244--2269 (2023; Zbl 07777005) Full Text: DOI arXiv
Wang, Xiuping; Gao, Fuzheng; Cui, Jintao; Sun, Zhengjia A weak Galerkin finite element method for Allen-Cahn equation with a nonuniform two-step backward differentiation formula scheme. (English) Zbl 07777004 Numer. Methods Partial Differ. Equations 39, No. 3, 2227-2243 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Wang} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2227--2243 (2023; Zbl 07777004) Full Text: DOI
Kumar, Naresh; Deka, Bhupen A stabilizer free weak Galerkin finite element method for second-order Sobolev equation. (English) Zbl 07777000 Numer. Methods Partial Differ. Equations 39, No. 3, 2115-2140 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{N. Kumar} and \textit{B. Deka}, Numer. Methods Partial Differ. Equations 39, No. 3, 2115--2140 (2023; Zbl 07777000) Full Text: DOI
Ma, Jie; Gao, Fuzheng; Du, Ning A stabilizer-free weak Galerkin finite element method to variable-order time fractional diffusion equation in multiple space dimensions. (English) Zbl 07776999 Numer. Methods Partial Differ. Equations 39, No. 3, 2096-2114 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Ma} et al., Numer. Methods Partial Differ. Equations 39, No. 3, 2096--2114 (2023; Zbl 07776999) Full Text: DOI
Nguyen Huu Du; Thanh Hai Ong A staggered finite element method for Stokes problems with variable viscosity on general meshes. (English) Zbl 07776981 Numer. Methods Partial Differ. Equations 39, No. 2, 1729-1766 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Nguyen Huu Du} and \textit{Thanh Hai Ong}, Numer. Methods Partial Differ. Equations 39, No. 2, 1729--1766 (2023; Zbl 07776981) Full Text: DOI
Zhou, Yanhui; Jiang, Ying; Zou, Qingsong Three dimensional high order finite volume element schemes for elliptic equations. (English) Zbl 07776979 Numer. Methods Partial Differ. Equations 39, No. 2, 1672-1705 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Zhou} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1672--1705 (2023; Zbl 07776979) Full Text: DOI
Zhu, Peng; Xie, Shenglan A weak Galerkin method and its two-grid algorithm for the quasi-linear elliptic problems of non-monotone type. (English) Zbl 07776952 Numer. Methods Partial Differ. Equations 39, No. 2, 1042-1066 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{P. Zhu} and \textit{S. Xie}, Numer. Methods Partial Differ. Equations 39, No. 2, 1042--1066 (2023; Zbl 07776952) Full Text: DOI arXiv
Chu, Xiaochen; Chen, Chuanjun; Zhang, Tong Two-level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations. (English) Zbl 07769114 Numer. Methods Partial Differ. Equations 39, No. 6, 4196-4220 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{X. Chu} et al., Numer. Methods Partial Differ. Equations 39, No. 6, 4196--4220 (2023; Zbl 07769114) Full Text: DOI
Zhao, Wenju Higher order weak Galerkin methods for the Navier-Stokes equations with large Reynolds number. (English) Zbl 07779687 Numer. Methods Partial Differ. Equations 38, No. 6, 1967-1992 (2022). MSC: 65M60 65M06 65N30 65H10 76D05 76D10 76D17 76M10 76M20 35Q30 PDFBibTeX XMLCite \textit{W. Zhao}, Numer. Methods Partial Differ. Equations 38, No. 6, 1967--1992 (2022; Zbl 07779687) Full Text: DOI
Wang, Haifeng; Xu, Da; Zhou, Jun; Guo, Jing Weak Galerkin finite element method for a class of time fractional generalized Burgers’ equation. (English) Zbl 07777719 Numer. Methods Partial Differ. Equations 37, No. 1, 732-749 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 35B65 35A01 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{H. Wang} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 732--749 (2021; Zbl 07777719) Full Text: DOI
Khaled-Abad, Leila Jafarian; Salehi, Rezvan Numerical and theoretical study of weak Galerkin finite element solutions of Turing patterns in reaction-diffusion systems. (English) Zbl 07777699 Numer. Methods Partial Differ. Equations 37, No. 1, 302-340 (2021). MSC: 65M60 65M06 65N30 65M12 65M15 35B36 80A32 PDFBibTeX XMLCite \textit{L. J. Khaled-Abad} and \textit{R. Salehi}, Numer. Methods Partial Differ. Equations 37, No. 1, 302--340 (2021; Zbl 07777699) Full Text: DOI
Banz, Lothar; Ilyas, Muhammad; Lamichhane, Bishnu P.; McLean, William; Stephan, Ernst P. A mixed finite element method for the Poisson problem using a biorthogonal system with Raviart-Thomas elements. (English) Zbl 07776078 Numer. Methods Partial Differ. Equations 37, No. 3, 2429-2445 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{L. Banz} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2429--2445 (2021; Zbl 07776078) Full Text: DOI
Al-Taweel, Ahmed; Wang, Xiaoshen; Ye, Xiu; Zhang, Shangyou A stabilizer free weak Galerkin finite element method with supercloseness of order two. (English) Zbl 07776000 Numer. Methods Partial Differ. Equations 37, No. 2, 1012-1029 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Al-Taweel} et al., Numer. Methods Partial Differ. Equations 37, No. 2, 1012--1029 (2021; Zbl 07776000) Full Text: DOI arXiv
Guan, Hongbo; Shi, Dongyang Superconvergence analysis of a nonconforming finite element method for monotone semilinear elliptic optimal control problems. (English) Zbl 07777654 Numer. Methods Partial Differ. Equations 36, No. 6, 1405-1417 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{H. Guan} and \textit{D. Shi}, Numer. Methods Partial Differ. Equations 36, No. 6, 1405--1417 (2020; Zbl 07777654) Full Text: DOI
Zhang, Jiachuan; Li, Jingshi; Li, Jingzhi; Zhang, Kai An adaptive weak Galerkin finite element method with hierarchical bases for the elliptic problem. (English) Zbl 07777648 Numer. Methods Partial Differ. Equations 36, No. 6, 1280-1303 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Zhang} et al., Numer. Methods Partial Differ. Equations 36, No. 6, 1280--1303 (2020; Zbl 07777648) Full Text: DOI
Li, Ruo; Sun, Zhiyuan; Yang, Zhijian A discontinuous Galerkin method for Stokes equation by divergence-free patch reconstruction. (English) Zbl 07771413 Numer. Methods Partial Differ. Equations 36, No. 4, 756-771 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Li} et al., Numer. Methods Partial Differ. Equations 36, No. 4, 756--771 (2020; Zbl 07771413) Full Text: DOI arXiv
Deka, Bhupen; Roy, Papri Weak Galerkin finite element methods for electric interface model with nonhomogeneous jump conditions. (English) Zbl 07771412 Numer. Methods Partial Differ. Equations 36, No. 4, 734-755 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{B. Deka} and \textit{P. Roy}, Numer. Methods Partial Differ. Equations 36, No. 4, 734--755 (2020; Zbl 07771412) Full Text: DOI
Cui, Jintao; Gao, Fuzheng; Sun, Zhengjia; Zhu, Peng A posteriori error estimate for discontinuous Galerkin finite element method on polytopal mesh. (English) Zbl 07771405 Numer. Methods Partial Differ. Equations 36, No. 3, 601-616 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Cui} et al., Numer. Methods Partial Differ. Equations 36, No. 3, 601--616 (2020; Zbl 07771405) Full Text: DOI
Liu, Yujie; Wang, Junping A discrete maximum principle for the weak Galerkin finite element method on nonuniform rectangular partitions. (English) Zbl 07771403 Numer. Methods Partial Differ. Equations 36, No. 3, 552-578 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{Y. Liu} and \textit{J. Wang}, Numer. Methods Partial Differ. Equations 36, No. 3, 552--578 (2020; Zbl 07771403) Full Text: DOI arXiv
Cesmelioglu, Aycil; Chidyagwai, Prince Numerical analysis of the coupling of free fluid with a poroelastic material. (English) Zbl 07771400 Numer. Methods Partial Differ. Equations 36, No. 3, 463-494 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Cesmelioglu} and \textit{P. Chidyagwai}, Numer. Methods Partial Differ. Equations 36, No. 3, 463--494 (2020; Zbl 07771400) Full Text: DOI
Shi, Dongyang; Liu, Qian Nonconforming quadrilateral \(EQ_1^{rot}\) finite element method for Ginzburg-Landau equation. (English) Zbl 07771393 Numer. Methods Partial Differ. Equations 36, No. 2, 329-341 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{D. Shi} and \textit{Q. Liu}, Numer. Methods Partial Differ. Equations 36, No. 2, 329--341 (2020; Zbl 07771393) Full Text: DOI
Al-Taweel, Ahmed; Hussain, Saqib; Wang, Xiaoshen; Jones, Brian A \(P_0\)-\(P_0\) weak Galerkin finite element method for solving singularly perturbed reaction-diffusion problems. (English) Zbl 07771387 Numer. Methods Partial Differ. Equations 36, No. 2, 213-227 (2020). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. Al-Taweel} et al., Numer. Methods Partial Differ. Equations 36, No. 2, 213--227 (2020; Zbl 07771387) Full Text: DOI
Li, Jian; Lin, Xiaolin; Zhao, Xin Optimal estimates on stabilized finite volume methods for the incompressible Navier-Stokes model in three dimensions. (English) Zbl 1419.65039 Numer. Methods Partial Differ. Equations 35, No. 1, 128-154 (2019). MSC: 65M08 65M60 35Q30 76D05 35A15 65M12 65M15 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 35, No. 1, 128--154 (2019; Zbl 1419.65039) Full Text: DOI
Mascotto, Lorenzo Ill-conditioning in the virtual element method: stabilizations and bases. (English) Zbl 1407.65294 Numer. Methods Partial Differ. Equations 34, No. 4, 1258-1281 (2018). MSC: 65N30 35J05 41A10 65F35 15A12 PDFBibTeX XMLCite \textit{L. Mascotto}, Numer. Methods Partial Differ. Equations 34, No. 4, 1258--1281 (2018; Zbl 1407.65294) Full Text: DOI arXiv
Li, Jian; Lin, Xiaolin; Zhao, Xin Numerical analysis of a Picard multilevel stabilization of mixed finite volume method for the 2D/3D incompressible flow with large data. (English) Zbl 1390.65136 Numer. Methods Partial Differ. Equations 34, No. 1, 30-50 (2018). MSC: 65N08 65N12 65N30 35Q30 76D05 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 34, No. 1, 30--50 (2018; Zbl 1390.65136) Full Text: DOI
Wang, Ruishu; Zhang, Ran; Zhang, Xu; Zhang, Zhimin Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin methods. (English) Zbl 1390.65150 Numer. Methods Partial Differ. Equations 34, No. 1, 317-335 (2018). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{R. Wang} et al., Numer. Methods Partial Differ. Equations 34, No. 1, 317--335 (2018; Zbl 1390.65150) Full Text: DOI arXiv
Huang, Yunqing; Li, Jichun; Li, Dan Developing weak Galerkin finite element methods for the wave equation. (English) Zbl 1377.65129 Numer. Methods Partial Differ. Equations 33, No. 3, 868-884 (2017). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M60 65M12 65M15 65M20 35L05 PDFBibTeX XMLCite \textit{Y. Huang} et al., Numer. Methods Partial Differ. Equations 33, No. 3, 868--884 (2017; Zbl 1377.65129) Full Text: DOI
Sen Gupta, Jhuma; Kumar Sinha, Rajen; Mohan Reddy, G. Murali; Jain, Jinank New interpolation error estimates and a posteriori error analysis for linear parabolic interface problems. (English) Zbl 1365.65211 Numer. Methods Partial Differ. Equations 33, No. 2, 570-598 (2017). Reviewer: Dana Černá (Liberec) MSC: 65M15 65M60 35K20 PDFBibTeX XMLCite \textit{J. Sen Gupta} et al., Numer. Methods Partial Differ. Equations 33, No. 2, 570--598 (2017; Zbl 1365.65211) Full Text: DOI
Zhang, Tie; Lin, Tao A posteriori error estimate for a modified weak Galerkin method solving elliptic problems. (English) Zbl 1365.65240 Numer. Methods Partial Differ. Equations 33, No. 1, 381-398 (2017). Reviewer: I. N. Katz (St. Louis) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{T. Lin}, Numer. Methods Partial Differ. Equations 33, No. 1, 381--398 (2017; Zbl 1365.65240) Full Text: DOI
Xiong, Chunguang; Becker, Roland; Luo, Fusheng; Ma, Xiuling A priori and a posteriori error analysis for the mixed discontinuous Galerkin finite element approximations of the biharmonic problems. (English) Zbl 1365.65239 Numer. Methods Partial Differ. Equations 33, No. 1, 318-353 (2017). Reviewer: I. N. Katz (St. Louis) MSC: 65N15 65N30 35J40 65N12 PDFBibTeX XMLCite \textit{C. Xiong} et al., Numer. Methods Partial Differ. Equations 33, No. 1, 318--353 (2017; Zbl 1365.65239) Full Text: DOI
Chen, Chuanjun; Zhao, Xin A posteriori error estimate for finite volume element method of the parabolic equations. (English) Zbl 1361.65066 Numer. Methods Partial Differ. Equations 33, No. 1, 259-275 (2017). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M15 65M08 35K20 PDFBibTeX XMLCite \textit{C. Chen} and \textit{X. Zhao}, Numer. Methods Partial Differ. Equations 33, No. 1, 259--275 (2017; Zbl 1361.65066) Full Text: DOI
Zhu, Ailing; Xu, Tingting; Xu, Qiang Weak Galerkin finite element methods for linear parabolic integro-differential equations. (English) Zbl 1354.65283 Numer. Methods Partial Differ. Equations 32, No. 5, 1357-1377 (2016). Reviewer: Alexander N. Tynda (Penza) MSC: 65R20 45K05 45A05 PDFBibTeX XMLCite \textit{A. Zhu} et al., Numer. Methods Partial Differ. Equations 32, No. 5, 1357--1377 (2016; Zbl 1354.65283) Full Text: DOI
Chen, Gang; Feng, Minfu A \(C^{0}\)-weak Galerkin finite element method for fourth-order elliptic problems. (English) Zbl 1350.65121 Numer. Methods Partial Differ. Equations 32, No. 3, 1090-1104 (2016). Reviewer: Tomas Vejchodsky (Praha) MSC: 65N30 65N15 35J40 PDFBibTeX XMLCite \textit{G. Chen} and \textit{M. Feng}, Numer. Methods Partial Differ. Equations 32, No. 3, 1090--1104 (2016; Zbl 1350.65121) Full Text: DOI
Ren, Jincheng; Ma, Yue A superconvergent nonconforming mixed finite element method for the Navier-Stokes equations. (English) Zbl 1381.76197 Numer. Methods Partial Differ. Equations 32, No. 2, 646-660 (2016). MSC: 76M10 65N30 65N12 76D05 PDFBibTeX XMLCite \textit{J. Ren} and \textit{Y. Ma}, Numer. Methods Partial Differ. Equations 32, No. 2, 646--660 (2016; Zbl 1381.76197) Full Text: DOI
Zhao, Xin; Li, Jian A local parallel superconvergence method for the incompressible flow by coarsening projection. (English) Zbl 1329.76193 Numer. Methods Partial Differ. Equations 31, No. 4, 1209-1223 (2015). MSC: 76M10 65N30 65N12 76D07 PDFBibTeX XMLCite \textit{X. Zhao} and \textit{J. Li}, Numer. Methods Partial Differ. Equations 31, No. 4, 1209--1223 (2015; Zbl 1329.76193) Full Text: DOI
Yang, Min Higher-order finite volume element methods based on Barlow points for one-dimensional elliptic and parabolic problems. (English) Zbl 1328.65226 Numer. Methods Partial Differ. Equations 31, No. 4, 977-994 (2015). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 65M08 35J25 35K20 65N12 65N15 65M12 65M15 PDFBibTeX XMLCite \textit{M. Yang}, Numer. Methods Partial Differ. Equations 31, No. 4, 977--994 (2015; Zbl 1328.65226) Full Text: DOI
Meng, Zhaoliang; Luo, Zhongxuan; Sheen, Dongwoo A new cubic nonconforming finite element on rectangles. (English) Zbl 1320.65179 Numer. Methods Partial Differ. Equations 31, No. 3, 691-705 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65N30 PDFBibTeX XMLCite \textit{Z. Meng} et al., Numer. Methods Partial Differ. Equations 31, No. 3, 691--705 (2015; Zbl 1320.65179) Full Text: DOI arXiv
Brenner, Susanne C. Forty years of the Crouzeix-Raviart element. (English) Zbl 1310.65142 Numer. Methods Partial Differ. Equations 31, No. 2, 367-396 (2015). MSC: 65N30 65-03 01A60 01A61 PDFBibTeX XMLCite \textit{S. C. Brenner}, Numer. Methods Partial Differ. Equations 31, No. 2, 367--396 (2015; Zbl 1310.65142) Full Text: DOI
Mu, Lin; Wang, Xiaoshen; Wang, Yanqiu Shape regularity conditions for polygonal/polyhedral meshes, exemplified in a discontinuous Galerkin discretization. (English) Zbl 1338.65250 Numer. Methods Partial Differ. Equations 31, No. 1, 308-325 (2015). MSC: 65N30 PDFBibTeX XMLCite \textit{L. Mu} et al., Numer. Methods Partial Differ. Equations 31, No. 1, 308--325 (2015; Zbl 1338.65250) Full Text: DOI
Zhang, Qinghui; Zou, Qingsong A class of finite volume schemes of arbitrary order on nonuniform meshes. (English) Zbl 1317.65221 Numer. Methods Partial Differ. Equations 30, No. 5, 1614-1632 (2014). Reviewer: Abdallah Bradji (Annaba) MSC: 65N08 35J25 65N12 65N50 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Q. Zou}, Numer. Methods Partial Differ. Equations 30, No. 5, 1614--1632 (2014; Zbl 1317.65221) Full Text: DOI
Zhang, Tie; Sheng, Ying Superconvergence and gradient recovery for a finite volume element method for solving convection-diffusion equations. (English) Zbl 1297.65164 Numer. Methods Partial Differ. Equations 30, No. 4, 1152-1168 (2014). Reviewer: Qin Meng Zhao (Beijing) MSC: 65N30 65N08 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{Y. Sheng}, Numer. Methods Partial Differ. Equations 30, No. 4, 1152--1168 (2014; Zbl 1297.65164) Full Text: DOI
Mu, Lin; Wang, Junping; Ye, Xiu Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes. (English) Zbl 1314.65151 Numer. Methods Partial Differ. Equations 30, No. 3, 1003-1029 (2014). Reviewer: I. N. Katz (St. Louis) MSC: 65N30 35J40 65N12 65N15 65N50 PDFBibTeX XMLCite \textit{L. Mu} et al., Numer. Methods Partial Differ. Equations 30, No. 3, 1003--1029 (2014; Zbl 1314.65151) Full Text: DOI arXiv
Meng, Zhaoliang; Sheen, Dongwoo; Luo, Zhongxuan; Kim, Sihwan Three-dimensional quadratic nonconforming brick element. (English) Zbl 1355.65158 Numer. Methods Partial Differ. Equations 30, No. 1, 158-174 (2014). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{Z. Meng} et al., Numer. Methods Partial Differ. Equations 30, No. 1, 158--174 (2014; Zbl 1355.65158) Full Text: DOI arXiv
Jeon, Youngmok; Nam, Hyun; Sheen, Dongwoo A nonconforming quadrilateral element with maximal inf-sup constant. (English) Zbl 1302.76104 Numer. Methods Partial Differ. Equations 30, No. 1, 120-132 (2014). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 76M10 65N30 65N15 PDFBibTeX XMLCite \textit{Y. Jeon} et al., Numer. Methods Partial Differ. Equations 30, No. 1, 120--132 (2014; Zbl 1302.76104) Full Text: DOI
Zhao, Xin; Li, Jian; Su, Jian; Lei, Gang Analysis of Newton multilevel stabilized finite volume method for the three-dimensional stationary Navier-Stokes equations. (English) Zbl 1277.76055 Numer. Methods Partial Differ. Equations 29, No. 6, 2146-2160 (2013). MSC: 76M12 76D05 PDFBibTeX XMLCite \textit{X. Zhao} et al., Numer. Methods Partial Differ. Equations 29, No. 6, 2146--2160 (2013; Zbl 1277.76055) Full Text: DOI
Li, Qiaoluan H.; Wang, Junping Weak Galerkin finite element methods for parabolic equations. (English) Zbl 1307.65133 Numer. Methods Partial Differ. Equations 29, No. 6, 2004-2024 (2013). Reviewer: Weizhong Dai (Ruston) MSC: 65M60 65M15 35K20 PDFBibTeX XMLCite \textit{Q. H. Li} and \textit{J. Wang}, Numer. Methods Partial Differ. Equations 29, No. 6, 2004--2024 (2013; Zbl 1307.65133) Full Text: DOI arXiv
Yi, Son-Young A coupling of nonconforming and mixed finite element methods for Biot’s consolidation model. (English) Zbl 1274.74455 Numer. Methods Partial Differ. Equations 29, No. 5, 1749-1777 (2013). MSC: 74S05 PDFBibTeX XMLCite \textit{S.-Y. Yi}, Numer. Methods Partial Differ. Equations 29, No. 5, 1749--1777 (2013; Zbl 1274.74455) Full Text: DOI
Bi, Chunjia; Lin, Yanping; Yang, Min Finite volume element method for monotone nonlinear elliptic problems. (English) Zbl 1276.65064 Numer. Methods Partial Differ. Equations 29, No. 4, 1097-1120 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 65N08 65N30 35J60 65N15 65N12 PDFBibTeX XMLCite \textit{C. Bi} et al., Numer. Methods Partial Differ. Equations 29, No. 4, 1097--1120 (2013; Zbl 1276.65064) Full Text: DOI
Yu, Changhua; Li, Yonghai Biquadratic finite volume element method based on optimal stress points for second-order hyperbolic equations. (English) Zbl 1273.65118 Numer. Methods Partial Differ. Equations 29, No. 3, 738-756 (2013). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M08 65M60 35L20 65M12 65M15 PDFBibTeX XMLCite \textit{C. Yu} and \textit{Y. Li}, Numer. Methods Partial Differ. Equations 29, No. 3, 738--756 (2013; Zbl 1273.65118) Full Text: DOI
Mu, Lin; Jari, Rabeea; Conner, Loralyn A recovery-based error estimator for finite volume methods of interface problems: conforming linear elements. (English) Zbl 1255.65199 Numer. Methods Partial Differ. Equations 29, No. 1, 131-143 (2013). MSC: 65N15 65N08 PDFBibTeX XMLCite \textit{L. Mu} et al., Numer. Methods Partial Differ. Equations 29, No. 1, 131--143 (2013; Zbl 1255.65199) Full Text: DOI
Kumar, Sarvesh A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media. (English) Zbl 1345.76081 Numer. Methods Partial Differ. Equations 28, No. 4, 1354-1381 (2012). MSC: 76M10 76S05 65M06 PDFBibTeX XMLCite \textit{S. Kumar}, Numer. Methods Partial Differ. Equations 28, No. 4, 1354--1381 (2012; Zbl 1345.76081) Full Text: DOI
Cai, Zhiqiang; Zhang, Shun Robust residual- and recovery-based a posteriori error estimators for interface problems with flux jumps. (English) Zbl 1245.65148 Numer. Methods Partial Differ. Equations 28, No. 2, 476-491 (2012). Reviewer: Qin Mengzhao (Beijing) MSC: 65N15 65N30 35J25 35R05 PDFBibTeX XMLCite \textit{Z. Cai} and \textit{S. Zhang}, Numer. Methods Partial Differ. Equations 28, No. 2, 476--491 (2012; Zbl 1245.65148) Full Text: DOI
He, Yinnian; Sun, Weiwei Nonconforming spline collocation methods in irregular domains. II: Error analysis. (English) Zbl 1432.65173 Numer. Methods Partial Differ. Equations 28, No. 2, 441-456 (2012). MSC: 65N35 65N15 65N50 35J25 PDFBibTeX XMLCite \textit{Y. He} and \textit{W. Sun}, Numer. Methods Partial Differ. Equations 28, No. 2, 441--456 (2012; Zbl 1432.65173) Full Text: DOI
Bi, Chunjia; Liu, Mingming A discontinuous finite volume element method for second-order elliptic problems. (English) Zbl 1242.65218 Numer. Methods Partial Differ. Equations 28, No. 2, 425-440 (2012). MSC: 65N08 65N30 35J25 65N15 PDFBibTeX XMLCite \textit{C. Bi} and \textit{M. Liu}, Numer. Methods Partial Differ. Equations 28, No. 2, 425--440 (2012; Zbl 1242.65218) Full Text: DOI
Li, Jian; Mei, Liquan; Chen, Zhangxin Superconvergence of a stabilized finite element approximation for the Stokes equations using a local coarse mesh \(L^2\) projection. (English) Zbl 1234.65038 Numer. Methods Partial Differ. Equations 28, No. 1, 115-126 (2012). Reviewer: Abdallah Bradji (Annaba) MSC: 65N12 65N30 35Q30 76M10 76D07 PDFBibTeX XMLCite \textit{J. Li} et al., Numer. Methods Partial Differ. Equations 28, No. 1, 115--126 (2012; Zbl 1234.65038) Full Text: DOI
Ye, Xiu A posterior error estimate for finite volume methods of the second order elliptic problem. (English) Zbl 1227.65104 Numer. Methods Partial Differ. Equations 27, No. 5, 1165-1178 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N15 65N08 35J25 PDFBibTeX XMLCite \textit{X. Ye}, Numer. Methods Partial Differ. Equations 27, No. 5, 1165--1178 (2011; Zbl 1227.65104) Full Text: DOI
Santos, Juan E. Finite element approximation of coupled seismic and electromagnetic waves in fluid-saturated poroviscoelastic media. (English) Zbl 1428.74214 Numer. Methods Partial Differ. Equations 27, No. 2, 351-386 (2011). MSC: 74S05 74F10 76S05 74F15 PDFBibTeX XMLCite \textit{J. E. Santos}, Numer. Methods Partial Differ. Equations 27, No. 2, 351--386 (2011; Zbl 1428.74214) Full Text: DOI
Yang, Min A posteriori error analysis of nonconforming finite volume elements for general second-order elliptic PDEs. (English) Zbl 1214.65057 Numer. Methods Partial Differ. Equations 27, No. 2, 277-291 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N08 65N15 35J25 PDFBibTeX XMLCite \textit{M. Yang}, Numer. Methods Partial Differ. Equations 27, No. 2, 277--291 (2011; Zbl 1214.65057) Full Text: DOI
Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo Mixed finite element methods for incompressible flow: stationary Stokes equations. (English) Zbl 1267.76059 Numer. Methods Partial Differ. Equations 26, No. 4, 957-978 (2010). MSC: 76M10 65N30 76D07 PDFBibTeX XMLCite \textit{Z. Cai} et al., Numer. Methods Partial Differ. Equations 26, No. 4, 957--978 (2010; Zbl 1267.76059) Full Text: DOI
Bi, Chunjia; Geng, Jiaqiang Discontinuous finite volume element method for parabolic problems. (English) Zbl 1189.65203 Numer. Methods Partial Differ. Equations 26, No. 2, 367-383 (2010). Reviewer: Fernando Casas (Castellon) MSC: 65M08 65M60 65M12 65M20 65M15 35K20 PDFBibTeX XMLCite \textit{C. Bi} and \textit{J. Geng}, Numer. Methods Partial Differ. Equations 26, No. 2, 367--383 (2010; Zbl 1189.65203) Full Text: DOI
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K. Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems. (English) Zbl 1181.65140 Numer. Methods Partial Differ. Equations 25, No. 6, 1402-1424 (2009). Reviewer: Constantin Popa (Constanţa) MSC: 65N30 65N08 35J25 65N15 PDFBibTeX XMLCite \textit{S. Kumar} et al., Numer. Methods Partial Differ. Equations 25, No. 6, 1402--1424 (2009; Zbl 1181.65140) Full Text: DOI
Cui, Ming; Ye, Xiu Superconvergence of finite volume methods for the Stokes equations. (English) Zbl 1170.76037 Numer. Methods Partial Differ. Equations 25, No. 5, 1212-1230 (2009). MSC: 76M12 76D07 65N12 PDFBibTeX XMLCite \textit{M. Cui} and \textit{X. Ye}, Numer. Methods Partial Differ. Equations 25, No. 5, 1212--1230 (2009; Zbl 1170.76037) Full Text: DOI
Kim, Sang Dong; Lee, Eunjung An analysis for the compressible Stokes equations by first-order system of least-squares finite element method. (English) Zbl 0997.76045 Numer. Methods Partial Differ. Equations 17, No. 6, 689-699 (2001). MSC: 76M10 76N15 PDFBibTeX XMLCite \textit{S. D. Kim} and \textit{E. Lee}, Numer. Methods Partial Differ. Equations 17, No. 6, 689--699 (2001; Zbl 0997.76045) Full Text: DOI
Douglas, Jim jun.; Santos, Juan E.; Sheen, Dongwoo Nonconforming Galerkin methods for the Helmholtz equation. (English) Zbl 1018.65125 Numer. Methods Partial Differ. Equations 17, No. 5, 475-494 (2001). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 65N30 35J05 65N12 65N15 65F10 65N55 PDFBibTeX XMLCite \textit{J. Douglas jun.} et al., Numer. Methods Partial Differ. Equations 17, No. 5, 475--494 (2001; Zbl 1018.65125) Full Text: DOI Link