{"title":"非线性分数阶抛物方程的插值系数有限元误差分析","authors":"Yuelong Tang, Y. Hua, Y. Tang, Y. Hua","doi":"10.23952/jnfa.2021.20","DOIUrl":null,"url":null,"abstract":". 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.","PeriodicalId":44514,"journal":{"name":"Journal of Nonlinear Functional Analysis","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Error analysis of interpolated coefficient finite elements for nonlinear fractional parabolic equations\",\"authors\":\"Yuelong Tang, Y. Hua, Y. Tang, Y. Hua\",\"doi\":\"10.23952/jnfa.2021.20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". 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.\",\"PeriodicalId\":44514,\"journal\":{\"name\":\"Journal of Nonlinear Functional Analysis\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nonlinear Functional Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.23952/jnfa.2021.20\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nonlinear Functional Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23952/jnfa.2021.20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
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