A mixed formulation and exact controllability approach for the computation of the periodic solutions of the scalar wave equation. I: Controllability problem formulation and related iterative solution

DOI10.1016/j.crma.2006.08.002zbMath1105.65074OpenAlexW2056908288MaRDI QIDQ857090

Roland Glowinski, Tuomo Rossi

Publication date: 14 December 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.08.002

zbMATH Keywords

wave equationnumerical experimentspreconditioningconjugate gradient algorithmtime-periodic solutions

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Wave equation (35L05)

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Cites Work

• Controllability method for acoustic scattering with spectral elements
• Controllability methods for the computation of time-periodic solutions; application to scattering
• A mixed finite element formulation for the boundary controllability of the wave equation
• Mixed and Hybrid Finite Element Methods
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