典型文献
Local Discontinuous Galerkin Methods with Novel Basis for Fractional Diffusion Equations with Non-smooth Solutions
文献摘要：
In this paper,we develop novel local discontinuous Galerkin(LDG)methods for fractional diffusion equations with non-smooth solutions.We consider such problems,for which the solutions are not smooth at boundary,and therefore the traditional LDG methods with piecewise polynomial solutions suffer accuracy degeneracy.The novel LDG methods uti-lize a solution information enriched basis,simulate the problem on a paired special mesh,and achieve optimal order of accuracy.We analyze the L2 stability and optimal error esti-mate in L2-norm.Finally,numerical examples are presented for validating the theoretical conclusions.
文献关键词：
中图分类号：
作者姓名：
Liyao Lyu;Zheng Chen
作者机构：
School of Mathematical Sciences,Soochow University,Suzhou 215006,Jiangsu Province,China;Department of Computational Mathematics,Science and Engineering,Michigan State University,East Lansing,MI 48824,USA;Department of Mathematics,University of Massachusetts,Dartmouth,MA 02747,USA
文献出处：
引用格式：
[1]Liyao Lyu;Zheng Chen-.Local Discontinuous Galerkin Methods with Novel Basis for Fractional Diffusion Equations with Non-smooth Solutions)[J].应用数学与计算数学学报,2022(01):227-249
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B类：
Local,Discontinuous,Galerkin,Methods,Novel,Basis,Fractional,Diffusion,Equations,Non,smooth,Solutions,In,this,paper,we,develop,novel,local,discontinuous,LDG,methods,fractional,diffusion,equations,solutions,We,consider,such,problems,which,are,not,boundary,therefore,traditional,piecewise,polynomial,suffer,accuracy,degeneracy,lize,information,enriched,basis,simulate,paired,special,mesh,achieve,optimal,order,analyze,L2,stability,error,esti,mate,norm,Finally,numerical,examples,presented,validating,theoretical,conclusions
AB值：
0.702802
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