A Domain Decomposition Method for the Helmholtz Equation and Related Optimal Control Problems

Jean-David Benamou (1) , Bruno Desprès

1 IDENT - Dynamic graphs and the web graph

We present an iterative domain decomposition method to solve the Helmholtz equation and related optimal control problems. The proof of convergence of this method relies on energy techniques. This method leads to efficient algorithms for the numerical resolution of harmonic wave propagation problems in heterogeneous media and their control.

Mots clés: DOMAIN DECOMPOSITION; HELMHOLTZ EQUATION; HARMONIC WAVES; OPTIMAL CONTROL; WAVEGUIDE; ABSORBING BOUNDARY CONDITIONS

Domaines: Autre [cs.OH]

Jean-David Benamou, Bruno Desprès. A Domain Decomposition Method for the Helmholtz Equation and Related Optimal Control Problems. [Research Report] RR-2791, INRIA. 1996. ⟨inria-00073899⟩