Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations

被引：0
作者：
Konstantinos Chrysafinos
Efthimios N. Karatzas
机构：
[1] National Technical University of Athens,Department of Mathematics
来源：
Computational Optimization and Applications | 2015年 / 60卷
关键词：
Discontinuous time-stepping schemes; Finite element approximations; Stokes equations; Velocity tracking problem ; Distributed controls; Error estimates; 65M60; 49J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider fully discrete finite element approximations of a distributed optimal control problem, constrained by the evolutionary Stokes equations. 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. The estimates are also applicable when high order schemes are being used. Computational examples validating our expected rates of convergence are also provided.
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页码：719 / 751
页数：32
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