Wavelet Filtering for Exact Controllability of the Wave Equation

DOI10.1137/050622894zbMath1131.65056OpenAlexW2048094013MaRDI QIDQ3593037

Christoph Schwab, Ana-Maria Matache, Mihaela Negreanu

Publication date: 24 September 2007

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050622894

zbMATH Keywords

wave equationuniform observabilityfinite element discretizationboundary controllabilitymultigrid algorithmwavelet filtering

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Observability (93B07) Wave equation (35L05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

Filtered Gradient Algorithms for Inverse Design Problems of One-Dimensional Burgers Equation ⋮ Spectral conditions for admissibility and observability of wave systems: applications to finite element schemes ⋮ Observability properties of a semi-discrete 1d wave equation derived from a mixed finite element method on nonuniform meshes ⋮ Transmutation techniques and observability for time-discrete approximation schemes of conservative systems

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