Error Analysis of Mixed Finite Element Methods for Nonlinear Parabolic Equations

被引：0
|
作者：
Huadong Gao
Weifeng Qiu
机构：
[1] Huazhong University of Science and Technology,School of Mathematics and Statistics
[2] Huazhong University of Science and Technology,Hubei Key Laboratory of Engineering Modeling and Scientific Computing
[3] City University of Hong Kong,Department of Mathematics
来源：
Journal of Scientific Computing | 2018年 / 77卷
关键词：
Nonlinear parabolic equations; Finite element method; Discrete Sobolev embedding inequality; Unconditional convergence; Optimal error analysis; 35Q30; 65M60; 65N30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove a discrete embedding inequality for the Raviart–Thomas mixed finite element methods for second order elliptic equations, which is analogous to the Sobolev embedding inequality in the continuous setting. Then, by using the proved discrete embedding inequality, we provide an optimal error estimate for linearized mixed finite element methods for nonlinear parabolic equations. Several numerical examples are provided to confirm the theoretical analysis.
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页码：1660 / 1678
页数：18
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