A mixed formulation for the direct approximation of the control of minimal \(L^2\)-norm for linear type wave equations
type: Item
instance of: scholarly article
title: A mixed formulation for the direct approximation of the control of minimal \(L^2\)-norm for linear type wave equations
zbMATH Open document ID: 1350.65067
author: Nicolae Cîndea
author: Arnaud Münch
published in: Calcolo
publication date: 2015-09-22T00:00:00Z
review text: This paper deals with the numerical computation of null controls for the 1D wave equation with a potential. The authors adapt the method to approximate the control of minimal square-integrable norm. The optimality conditions of the problem are reformulated as a mixed formulation involving both the state and the adjoint. They prove the well-posedeness of the mixed formulation and discuss several numerical experiments, both in the boundary and inner case.
reviewed by: Basilis Kokkinis
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 6484021
zbMATH Keywords: linear wave equation
zbMATH Keywords: null controllability
zbMATH Keywords: finite elements methods
zbMATH Keywords: mixed formulation
zbMATH Keywords: numerical experiment
MaRDI profile type: Publication
full work available at URL: s10092-014-0116-x
OpenAlex ID: W2049260484
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DOI: 10.1007/S10092-014-0116-X
description: scientific article; zbMATH DE number 6484021