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

2021/03/02 by Ulrich Langer, Langer, Ulrich, Andreas Schafelner +1
Engineering · Mathematics · #35K20 #49J20 #65M15 #65M50 #65M60 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2103.01688

openalex publication_date 2021/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 L₂-regularization.

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