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

Capitolo di libro

Data di Pubblicazione:

2016

Citazione:

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.

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.

Tipologia IRIS:

03 - Contributo in volume

Keywords:

Helmholtz equation; transparent boundary conditions; minimization of integral functionals

Elenco autori: