Simultaneous space-time finite element methods for parabolic optimal control problems

Ulrich Langer; Andreas Schafelner

Simultaneous space-time finite element methods for parabolic optimal control problems

Numerical Analysis 2021-03-03 v1 Numerical Analysis

Authors: Ulrich Langer , Andreas Schafelner

Abstract

This work presents, analyzes and tests stabilized space-time finite element methods on fully unstructured simplicial space-time meshes for the numerical solution of space-time tracking parabolic optimal control problems with the standard $L_2$ -regularization.

Keywords

mixed finite element methods parallel-in-time integration optimal control

Cite

@article{arxiv.2103.01688,
  title  = {Simultaneous space-time finite element methods for parabolic optimal control problems},
  author = {Ulrich Langer and Andreas Schafelner},
  journal= {arXiv preprint arXiv:2103.01688},
  year   = {2021}
}

Comments

9 pages, 2 figures

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