Paper Info
Title
Mixed and hybrid Petrov-Galerkin finite element discretization for optimal control of the wave equation
Abstract
A mixed finite element discretization of an optimal control problem for the linear wave equation with homogeneous Dirichlet boundary condition is considered. For the temporal discretization, a Petrov-Galerkin scheme is utilized and the Raviart-Thomas finite elements for spatial discretization is used. A priori error analysis is proved for this numerical scheme. A hybridized formulation is proposed and if the Arnold-Brezzi post-processing method is applied, better convergence rates with respect to space are observed. The interchangeability of discretization and optimization holds both for mixed and hybrid formulations. Numerical experiments illustrating the theoretical results are presented using the lowest-order Raviart-Thomas elements.
Year
DOI
Venue
2022
10.1007/s00211-021-01258-9
NUMERISCHE MATHEMATIK
Keywords
DocType
Volume
49J20, 35L05, 65M60
Journal
150
Issue
ISSN
Citations 
2
0029-599X
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Gilbert Peralta100.34
Karl Kunisch21370145.58