A Fully Discrete Numerical Control Method for the Wave Equation

DOI10.1137/19M1249424zbMath1444.35110arXiv1903.02320WikidataQ109996000 ScholiaQ109996000MaRDI QIDQ3300779

Ali Feizmohammadi, Lauri Oksanen, Erik Burman

Publication date: 30 July 2020

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02320

zbMATH Keywords

finite element methodstabilization

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order hyperbolic equations (35L20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Convergence rate analysis of Galerkin approximation of inverse potential problem ⋮ Local controllability of the bilinear 1D Schrödinger equation with simultaneous estimates ⋮ Spacetime finite element methods for control problems subject to 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 ⋮ Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation

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