Approximation of controls for linear wave equations: a first order mixed formulation

DOI10.3934/mcrf.2019030zbMath1443.93034OpenAlexW2806453767MaRDI QIDQ2175631

Santiago Montaner, Arnaud Münch

Publication date: 29 April 2020

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mcrf.2019030

zbMATH Keywords

wave equationfinite elementnull controllabilityfirst order systemspace-time discretization

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Wave equation (35L05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (7)

On the controllability of an advection-diffusion equation with respect to the diffusion parameter: asymptotic analysis and numerical simulations ⋮ Controllability of the linear elasticity as a first-order system using a stabilized space-time mixed formulation ⋮ Spacetime finite element methods for control problems subject to the wave equation ⋮ Space-Time Finite Element Methods for Distributed Optimal Control of the Wave Equation ⋮ A Fully Discrete Numerical Control Method for the Wave Equation ⋮ Space time stabilized finite element methods for a unique continuation problem subject to the wave equation ⋮ A finite element data assimilation method for the wave equation

Uses Software

• FreeFem++

Cites Work

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