Numerical solutions to an inverse problem for a non-linear Helmholtz equation
Numerical Analysis
2023-02-06 v1 Numerical Analysis
Abstract
In this work, we construct numerical solutions to an inverse problem of a nonlinear Helmholtz equation defined in a spherical shell between two concentric spheres centered at the origin.Assuming that the values of the forward problem are known at sufficiently many points, we would like to determine the form of the non-linear term on the right-hand side of the equation via its Chebyshev coefficients.
Cite
@article{arxiv.2302.01475,
title = {Numerical solutions to an inverse problem for a non-linear Helmholtz equation},
author = {Q. T. Le Gia and H. N. Mhaskar},
journal= {arXiv preprint arXiv:2302.01475},
year = {2023}
}
Comments
10 pages, 2 figures