ERROR ESTIMATES FOR DISCONTINUOUS GALERKIN TIME-STEPPING SCHEMES FOR ROBIN BOUNDARY CONTROL PROBLEMS CONSTRAINED TO PARABOLIC PDES

被引：9
|
作者：
Chrysafinos, Konstantinos [1 ]
Karatzas, Efthimios N. [1 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2014年 / 52卷 / 06期
关键词：
discontinuous time-stepping schemes; finite element approximations; Robin boundary control; parabolic equations; error estimates; FINITE-ELEMENT APPROXIMATIONS; MINIMAL REGULARITY ASSUMPTIONS; VELOCITY TRACKING PROBLEM; NAVIER-STOKES EQUATIONS; DISCRETIZATION; CONVERGENCE; SYSTEM;
D O I：
10.1137/130943108
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider fully discrete finite element approximations of a Robin optimal boundary control problem, constrained by linear parabolic PDEs with rough initial data. Conforming finite element methods for spatial discretization combined with discontinuous time-stepping Galerkin schemes are being used for the space-time discretization. Error estimates are proved under weak regularity hypotheses for the state, adjoint, and control variables. Computational examples validating our expected rates of convergence are also provided.
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页码：2837 / 2862
页数：26
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