Barakat, Mohamed; Zahra, Waheed; Elsaid, Ahmed A new approach for recovering the gradient and a posteriori error estimates. (English) Zbl 07824630 Comput. Math. Appl. 159, 202-218 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Barakat} et al., Comput. Math. Appl. 159, 202--218 (2024; Zbl 07824630) Full Text: DOI
Wu, Siyu; Bai, Jinwei; He, Xiaoming; Zhao, Ren; Cao, Yong An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery. (English) Zbl 07797671 J. Comput. Phys. 498, Article ID 112703, 22 p. (2024). MSC: 65Nxx 35Jxx 35Rxx PDFBibTeX XMLCite \textit{S. Wu} et al., J. Comput. Phys. 498, Article ID 112703, 22 p. (2024; Zbl 07797671) Full Text: DOI
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
Zhang, Baiju; Zhang, Zhimin Polynomial preserving recovery and a posteriori error estimates for the two-dimensional quad-curl problem. (English) Zbl 1501.65136 Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1323-1341 (2023). MSC: 65N30 65N50 65N15 65N12 41A25 35J05 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{Z. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 2, 1323--1341 (2023; Zbl 1501.65136) Full Text: DOI
He, Wen-ming; Zhao, Ren; Cao, Yong Ultraconvergence of finite element method by Richardson extrapolation for elliptic problems with inhomogeneous boundary conditions. (English) Zbl 1528.65108 Numer. Methods Partial Differ. Equations 38, No. 1, 33-47 (2022). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{W.-m. He} et al., Numer. Methods Partial Differ. Equations 38, No. 1, 33--47 (2022; Zbl 1528.65108) Full Text: DOI
He, Wenming; Zhao, Ren; Li, Guanrong; Li, Wulan Local ultraconvergence of finite element methods for elliptic second-order problems with singularity. (English) Zbl 07776063 Numer. Methods Partial Differ. Equations 37, No. 3, 2132-2149 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{W. He} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 2132--2149 (2021; Zbl 07776063) Full Text: DOI
He, Wen-ming; Zhao, Ren Local ultraconvergence of quadratic element. (English) Zbl 1477.65217 Calcolo 58, No. 3, Paper No. 33, 29 p. (2021). MSC: 65N30 45N05 65N12 65N15 PDFBibTeX XMLCite \textit{W.-m. He} and \textit{R. Zhao}, Calcolo 58, No. 3, Paper No. 33, 29 p. (2021; Zbl 1477.65217) Full Text: DOI
Chen, Hongtao; Feng, Xiaobing; Zhang, Zhimin A recovery-based linear \(C^0\) finite element method for a fourth-order singularly perturbed Monge-Ampère equation. (English) Zbl 1465.65132 Adv. Comput. Math. 47, No. 2, Paper No. 21, 37 p. (2021). MSC: 65N30 65N15 35J60 35J96 35D30 35B25 PDFBibTeX XMLCite \textit{H. Chen} et al., Adv. Comput. Math. 47, No. 2, Paper No. 21, 37 p. (2021; Zbl 1465.65132) Full Text: DOI
Xu, Minqiang; Guo, Hailong; Zou, Qingsong Hessian recovery based finite element methods for the Cahn-Hilliard equation. (English) Zbl 1452.65255 J. Comput. Phys. 386, 524-540 (2019). MSC: 65M60 65Z05 35B36 PDFBibTeX XMLCite \textit{M. Xu} et al., J. Comput. Phys. 386, 524--540 (2019; Zbl 1452.65255) Full Text: DOI arXiv
Guo, Hailong; Xie, Cong; Zhao, Ren Superconvergent gradient recovery for virtual element methods. (English) Zbl 1427.65360 Math. Models Methods Appl. Sci. 29, No. 11, 2007-2031 (2019). MSC: 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{H. Guo} et al., Math. Models Methods Appl. Sci. 29, No. 11, 2007--2031 (2019; Zbl 1427.65360) Full Text: DOI arXiv
Wang, Ruishu; Zhang, Ran; Wang, Xiuli; Jia, Jiwei Polynomial preserving recovery for a class of weak Galerkin finite element methods. (English) Zbl 1418.65186 J. Comput. Appl. Math. 362, 528-539 (2019). MSC: 65N30 65N15 65N12 35J50 35B45 PDFBibTeX XMLCite \textit{R. Wang} et al., J. Comput. Appl. Math. 362, 528--539 (2019; Zbl 1418.65186) Full Text: DOI
Guo, Hailong; Zhang, Zhimin; Zou, Qingsong A \(C^0\) linear finite element method for biharmonic problems. (English) Zbl 1398.65300 J. Sci. Comput. 74, No. 3, 1397-1422 (2018). MSC: 65N30 PDFBibTeX XMLCite \textit{H. Guo} et al., J. Sci. Comput. 74, No. 3, 1397--1422 (2018; Zbl 1398.65300) Full Text: DOI
Yi, Nianyu; Huang, Yunqing; Yang, Wei Function, derivative and high-order derivatives recovery methods using the local symmetry projection. (English) Zbl 1398.65024 J. Sci. Comput. 74, No. 1, 536-572 (2018). Reviewer: Jichun Li (Las Vegas) MSC: 65D15 65N30 PDFBibTeX XMLCite \textit{N. Yi} et al., J. Sci. Comput. 74, No. 1, 536--572 (2018; Zbl 1398.65024) Full Text: DOI