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.
Ciraolo, G. (2016). Helmholtz equation in unbounded domains: some convergence results for a constrained optimization problem. In Imaging, Multi-Scale and High Contrast PDE. (pp. 139-148). AMS.
Helmholtz equation in unbounded domains: some convergence results for a constrained optimization problem
CIRAOLO, Giulio
2016-01-01
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.
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