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.

Helmholtz equation in unbounded domains: some convergence results for a constrained optimization problem / G. Ciraolo (CONTEMPORARY MATHEMATICS). - In: Imaging, Multi-scale and High Contrast Partial Differential Equations / [a cura di] H. Ammari, Y. Capdeboscq, H. Kang, I. Sim. - [s.l] : AMS, 2016. - ISBN 9781470419233. - pp. 139-148 (( Intervento presentato al 4. convegno Seoul ICM Satellite Conference on Imaging, Multi-scale and High Contrast PDEs tenutosi a Daejeon nel 2014.

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

G. Ciraolo
2016

Abstract

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.
Helmholtz equation; transparent boundary conditions; minimization of integral functionals
Settore MAT/05 - Analisi Matematica
2016
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/675334
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