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

2013/07/04 by Giulio Ciraolo, Ciraolo, Giulio
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.1307.1260

openalex publication_date 2013/07/04 · arxiv created 2015/01/08 · arxiv updated 2015/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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