A Mixed Finite-Element Method on Polytopal Mesh

被引：0
作者：
Yanping Lin
Xiu Ye
Shangyou Zhang
机构：
[1] The Hong Kong Polytechnic University,Department of Applied Mathematics
[2] University of Arkansas at Little Rock,Department of Mathematics
[3] University of Delaware,Department of Mathematical Sciences
来源：
Communications on Applied Mathematics and Computation | 2022年 / 4卷
关键词：
Mixed finite-element methods; Second-order elliptic problem; Polytopal mesh; 65N15; 65N30; 35B45; 35J50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce new stable mixed finite elements of any order on polytopal mesh for solving second-order elliptic problem. We establish optimal order error estimates for velocity and super convergence for pressure. Numerical experiments are conducted for our mixed elements of different orders on 2D and 3D spaces that confirm the theory.
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页码：1374 / 1385
页数：11
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