A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation

DOI10.1016/j.cam.2012.07.026zbMath1263.65092OpenAlexW1971373746MaRDI QIDQ455846

Fuming Ma, Deyue Zhang, Enxi Zheng

Publication date: 22 October 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.07.026

zbMATH Keywords

numerical resultsinverse problemintegral equationCauchy problemHelmholtz equationregularization methodHerglotz wavefunctions

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (5)

An efficient neural network method with plane wave activation functions for solving Helmholtz equation ⋮ Deep Domain Decomposition Methods: Helmholtz Equation ⋮ Stability analysis of the Fourier–Bessel method for the Cauchy problem of the Helmholtz equation ⋮ Variational theory of complex rays applied to shell structures: in-plane inertia, quasi-symmetric ray distribution, and orthotropic materials ⋮ The Fourier-Bessel method for solving the Cauchy problem connected with the Helmholtz equation

This page was built for publication: A Herglotz wavefunction method for solving the inverse Cauchy problem connected with the Helmholtz equation