A mollifier approach to regularize a Cauchy problem for the inhomogeneous Helmholtz equation

Autor:	Marechal, Pierre, Lee, Walter Simo Tao, Triki, Faouzi
Rok vydání:	2021
Předmět:	Mathematics - Analysis of PDEs Mathematics - Numerical Analysis 47A52 35J05
Druh dokumentu:	Working Paper
Popis:	The Cauchy problem for the inhomogeneous Helmholtz equation with non-uniform refraction index is considered. The ill-posedness of this problem is tackled by means of the variational form of mollification. This approach is proved to be consistent, and the proposed numerical simulations are quite promising.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.02665 Zobrazit plný text záznamu View this record from Arxiv