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arxiv: 1307.1260 · v2 · pith:TGBYIQ3Tnew · submitted 2013-07-04 · 🧮 math.AP

Helmholtz equation in unbounded domains: some convergence results for a constrained optimization problem

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keywords optimizationproblemconstrainedconvergencedomainsequationhelmholtzsolution
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We consider a constrained optimization problem arising from the study of the Helmholtz equation in unbounded domains. The optimization problem provides an approximation of the solution in a bounded computational domain. In this paper we prove some estimates on the rate of convergence to the exact solution.

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