典型文献
ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA
文献摘要：
This article concerns numerical approximation of a parabolic interface problem with general L2 initial value.The problem is discretized by a finite element method with a quasi-uniform triangulation of the domain fitting the interface,with piecewise linear approximation to the interface.The semi-discrete finite element problem is furthermore discretized in time by the k-step backward difference formula with k=1,...,6.To main-tain high-order convergence in time for possibly nonsmooth L2 initial value,we modify the standard backward difference formula at the first k-1 time levels by using a method recent-ly developed for fractional evolution equations.An error bound of O(tn-kτk+tn-1h2 |log h|)is established for the fully discrete finite element method for general L2 initial data.
文献关键词：
中图分类号：
作者姓名：
Kai Wang;Na Wang
作者机构：
Department of Mathematics,Southern University of Science and Technology,Shenzhen 518005,China;Applied and Computational Mathematics Division,Beijing Computational Science Research Center,Beijing 100193,China
文献出处：
引用格式：
[1]Kai Wang;Na Wang-.ANALYSIS OF A FULLY DISCRETE FINITE ELEMENT METHOD FOR PARABOLIC INTERFACE PROBLEMS WITH NONSMOOTH INITIAL DATA)[J].计算数学（英文版）,2022(05):777-793
A类：
ANALYSIS,FULLY,DISCRETE,FINITE,ELEMENT,PARABOLIC,INTERFACE,PROBLEMS,NONSMOOTH,k+tn,1h2
B类：
OF,METHOD,FOR,WITH,INITIAL,DATA,This,article,concerns,numerical,approximation,parabolic,interface,problem,general,L2,initial,value,discretized,by,finite,element,method,quasi,uniform,triangulation,domain,fitting,piecewise,linear,semi,discrete,furthermore,step,backward,difference,formula,To,tain,high,order,convergence,possibly,nonsmooth,we,modify,standard,first,levels,using,recent,developed,fractional,evolution,equations,An,error,bound,log,established,fully,data
AB值：
0.502232
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