非线性分数阶抛物方程的插值系数有限元误差分析

IF 1.1 Q1 MATHEMATICS

Journal of Nonlinear Functional Analysis Pub Date : 2021-01-01 DOI:10.23952/jnfa.2021.20

Yuelong Tang, Y. Hua, Y. Tang, Y. Hua

引用次数: 0

摘要

．本文研究非线性分数阶抛物型方程的完全离散逼近格式。本文的主要目的是研究插值系数有限元解的收敛性和超收敛性。给出了一些数值算例来验证我们的理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Error analysis of interpolated coefficient finite elements for nonlinear fractional parabolic equations

. In this paper, we consider a fully discrete approximation scheme for nonlinear fractional parabolic equations. The main aim of this paper is to investigate the convergence and superconvergence of interpolated coefﬁcient ﬁnite element solutions. Some numerical examples are presented to demonstrate our theoretical results.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Nonlinear Functional Analysis Multiple-

CiteScore

2.40

自引率

0.00%

发文量

期刊介绍： Journal of Nonlinear Functional Analysis focuses on important developments in nonlinear functional analysis and its applications with a particular emphasis on topics include, but are not limited to: Approximation theory; Asymptotic behavior; Banach space geometric constant and its applications; Complementarity problems; Control theory; Dynamic systems; Fixed point theory and methods of computing fixed points; Fluid dynamics; Functional differential equations; Iteration theory, iterative and composite equations; Mathematical biology and ecology; Miscellaneous applications of nonlinear analysis; Multilinear algebra and tensor computation; Nonlinear eigenvalue problems and nonlinear spectral theory; Nonsmooth analysis, variational analysis, convex analysis and their applications; Numerical analysis; Optimal control; Optimization theory; Ordinary differential equations; Partial differential equations; Positive operator inequality and its applications in operator equation spectrum theory and so forth; Semidefinite programming polynomial optimization; Variational and other types of inequalities involving nonlinear mappings; Variational inequalities.