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

✍ Scribed by Jean-David Benamou; Bruno Desprès

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
504 KB
Volume
136
Category
Article
ISSN
0021-9991

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✦ Synopsis

We present an iterative domain decomposition method to solve the Helmholtz equation and related optimal control problems. The tionally expresses that the control is optimal. This method proof of convergence of this method relies on energy techniques. actually solves at the same time the equations and the This method leads to efficient algorithms for the numerical resoluoptimization problem, whereas classical methods require tion of harmonic wave propagation problems in homogeneous and the iterated resolution of direct and adjoint problems in heterogeneous media.

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