典型文献
ELLIPTIC RECONSTRUCTION AND A POSTERIORI ERROR ESTIMATES FOR FULLY DISCRETE SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS
文献摘要：
This article studies a posteriori error analysis of fully discrete finite element approxima-tions for semilinear parabolic optimal control problems.Based on elliptic reconstruction approach introduced earlier by Makridakis and Nochetto[25],a residual based a poste-riori error estimators for the state,co-state and control variables are derived.The space discretization of the state and co-state variables is done by using the piecewise linear and continuous finite elements,whereas the piecewise constant functions are employed for the control variable.The temporal discretization is based on the backward Euler method.We derive a posteriori error estimates for the state,co-state and control variables in the L∞(0,T;L2(Ω))-norm.Finally,a numerical experiment is performed to illustrate the per-formance of the derived estimators.
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中图分类号：
作者姓名：
Ram Manohar;Rajen Kumar Sinha
作者机构：
Department of Mathematics,Indian Institute of Technology Guwahati,Guwahati-781039,India
文献出处：
引用格式：
[1]Ram Manohar;Rajen Kumar Sinha-.ELLIPTIC RECONSTRUCTION AND A POSTERIORI ERROR ESTIMATES FOR FULLY DISCRETE SEMILINEAR PARABOLIC OPTIMAL CONTROL PROBLEMS)[J].计算数学（英文版）,2022(02):147-176
A类：
ELLIPTIC,RECONSTRUCTION,POSTERIORI,ERROR,FULLY,DISCRETE,SEMILINEAR,PARABOLIC,OPTIMAL,PROBLEMS,Makridakis,Nochetto,poste,riori
B类：
AND,ESTIMATES,FOR,CONTROL,This,article,studies,posteriori,error,analysis,fully,discrete,finite,approxima,semilinear,parabolic,optimal,control,problems,Based,elliptic,reconstruction,approach,introduced,earlier,by,residual,estimators,state,variables,are,derived,space,discretization,done,using,piecewise,continuous,elements,whereas,constant,functions,employed,temporal,backward,Euler,method,We,estimates,L2,norm,Finally,numerical,experiment,performed,illustrate,formance
AB值：
0.455511
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