典型文献
A SECOND ORDER UNCONDITIONALLY CONVERGENT FINITE ELEMENT METHOD FOR THE THERMAL EQUATION WITH JOULE HEATING PROBLEM
文献摘要：
In this paper,we study the finite element approximation for nonlinear thermal equation.Because the nonlinearity of the equation,our theoretical analysis is based on the error of temporal and spatial discretization.We consider a fully discrete second order backward difference formula based on a finite element method to approximate the temperature and electric potential,and establish optimal L2 error estimates for the fully discrete finite element solution without any restriction on the time-step size.The discrete solution is bounded in infinite norm.Finally,several numerical examples are presented to demonstrate the accuracy and efficiency of the proposed method.
文献关键词：
中图分类号：
作者姓名：
Xiaonian Long;Qianqian Ding
作者机构：
College of Mathematics and Information Science,Henan University of Economics and Law,Zhengzhou 450045,China;School of Mathematics,Shandong University,Jinan 250100,China
文献出处：
引用格式：
[1]Xiaonian Long;Qianqian Ding-.A SECOND ORDER UNCONDITIONALLY CONVERGENT FINITE ELEMENT METHOD FOR THE THERMAL EQUATION WITH JOULE HEATING PROBLEM)[J].计算数学（英文版）,2022(03):354-372
A类：
UNCONDITIONALLY,CONVERGENT,FINITE,ELEMENT,THERMAL,EQUATION,JOULE,HEATING,PROBLEM
B类：
SECOND,ORDER,METHOD,FOR,WITH,In,this,paper,we,study,element,approximation,thermal,equation,Because,nonlinearity,our,theoretical,analysis,error,temporal,spatial,discretization,We,consider,fully,discrete,second,order,backward,difference,formula,method,approximate,temperature,electric,potential,establish,optimal,L2,estimates,solution,without,any,restriction,step,size,bounded,infinite,norm,Finally,several,numerical,examples,are,presented,demonstrate,accuracy,efficiency,proposed
AB值：
0.563465
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