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.File | Dimensione | Formato | |
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