6533b825fe1ef96bd1283342

RESEARCH PRODUCT

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

Giulio Ciraolo

subject

Optimization problemHelmholtz equationDomain (software engineering)Constrained optimization problemExact solutions in general relativityMathematics - Analysis of PDEsRate of convergenceBounded functionConvergence (routing)FOS: MathematicsHelmholtz equation Transparent boundary conditions Minimization of integral functionals.Applied mathematicsMathematicsAnalysis of PDEs (math.AP)

description

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.

yearjournalcountryeditionlanguage
2016-01-01
http://arxiv.org/abs/1307.1260