A weak Galerkin finite element method with polynomial reduction

Lin Mu, Junping Wang, Xiu Ye

Type: Article

Publication Date: 2015-02-11

Citations: 129

DOI: https://doi.org/10.1016/j.cam.2015.02.001

View Publication

Locations

Journal of Computational and Applied Mathematics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	A weak Galerkin finite element method for second-order elliptic problems	2012	Junping Wang Xiu Ye
+ PDF Chat	The lowest-order stabilizer free weak Galerkin finite element method	2020	Ahmed Al‐Taweel Xiaoshen Wang
+ PDF Chat	A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction	2020	Xiu Ye Shangyou Zhang
+ PDF Chat	A Weak Galerkin Finite Element Scheme for the Biharmonic Equations by Using Polynomials of Reduced Order	2014	Ran Zhang Qilong Zhai
+	Weak Galerkin finite element method for linear poroelasticity problems	2023	Shanshan Gu Shimin Chai Chenguang Zhou Jinhui Zhou
+ PDF Chat	A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II	2021	Xiu Ye Shangyou Zhang
+	A Weak Galerkin Finite Element Method with Polynomial Reduction	2013	Lin Mu Junping Wang Xiu Ye
+	A new weak gradient for the stabilizer free weak Galerkin method with polynomial reduction	2020	Xiu Ye Shangyou Zhang
+ PDF Chat	A Weak Galerkin Finite Element Method for the Maxwell Equations	2014	Lin Mu Junping Wang Xiu Ye Shangyou Zhang
+	Computational Galerkin Methods	1984	Clive Fletcher
+	A Galerkin method using rational basis functions	1989	F.D. van Niekerk A. van Niekerk
+ PDF Chat	An introduction to POD-greedy-Galerkin reduced basis method	2023	Pierfrancesco Siena Michele Girfoglio Gianluigi Rozza
+	A weak Galerkin finite element method for the stokes equations	2015	Junping Wang Xiu Ye
+	Raviart Thomas Petrov–Galerkin Finite Elements	2017	François Dubois Isabelle Greff Charles Pierre
+ PDF Chat	A stable numerical algorithm for the Brinkman equations by weak Galerkin finite element methods	2014	Lin Mu Junping Wang Xiu Ye
+	Discontinuous Galerkin method based on non-polynomial approximation spaces	2006	Ling Yuan Chi‐Wang Shu
+ PDF Chat	A locking-free weak Galerkin finite element method for linear elasticity problems	2024	Fuchang Huo Ruishu Wang Yanqiu Wang Ran Zhang
+	Meshless Galerkin least-squares method	2004	Xiaofei Pan Xiong Zhang Ming Lu
+	A Galerkin method with smoothing	1990	Gabriel N. Gatica
+	An analysis of the petrov—galerkin finite element method	1978	David F. Griffiths Jens Lorenz

Works That Cite This (57)

Action	Title	Year	Authors
+	Numerical Analysis of Stabilizer‐Free Weak Galerkin Finite Element Method for Time‐Dependent Differential Equation Under Low Regularity	2024	Xuan Liu Yongkui Zou Yiying Wang Yiying Wang Chenguang Zhou Huimin Wang
+	A robust WG finite element method for convection–diffusion–reaction equations	2016	Gang Chen Minfu Feng Xiaoping Xie
+ PDF Chat	A weak Galerkin finite element scheme with boundary continuity for second-order elliptic problems	2017	Qilong Zhai Xiu Ye Ruishu Wang Ran Zhang
+	The weak Galerkin finite element method for incompressible flow	2018	Tie Zhang Tao Lin
+	A posteriori error estimates of two-grid weak Galerkin methods for semilinear elliptic differential equations	2023	Luoping Chen Jiajia Dai Yiming Wen
+ PDF Chat	Convergence and optimality of an adaptive modified weak Galerkin finite element method	2023	Yingying Xie Shuhao Cao Long Chen Liuqiang Zhong
+	A weak Galerkin finite element method for solving time-fractional coupled Burgers' equations in two dimensions	2020	Ahmed Hussein
+	The Basics of Weak Galerkin Finite Element Methods	2019	Junping Wang Xiu Ye
+	MIM: A deep mixed residual method for solving high-order partial differential equations	2020	Liyao Lyu Zhen Zhang Minxin Chen Jingrun Chen
+	Trefftz Finite Elements on Curvilinear Polygons.	2019	Akash Anand Jeffrey S. Ovall Samuel E. Reynolds Steffen Weißer

Works Cited by This (4)

Action	Title	Year	Authors
+	An efficient numerical scheme for the biharmonic equation by weak Galerkin finite element methods on polygonal or polyhedral meshes	2014	Chunmei Wang Junping Wang
+	A weak Galerkin mixed finite element method for second order elliptic problems	2014	Junping Wang Xiu Ye
+	A weak Galerkin finite element method for second-order elliptic problems	2012	Junping Wang Xiu Ye
+ PDF Chat	Weak Galerkin finite element methods for the biharmonic equation on polytopal meshes	2014	Lin Mu Junping Wang Xiu Ye