Some remarks on a modified Helmholtz equation with inhomogeneous source

The Helmholtz Equation Ii: Source on a General Smooth Manifold

Inverse Random Source Scattering for the Helmholtz Equation in Inhomogeneous Media

This paper is concerned with an inverse random source scattering problem in an inhomogeneous background medium. The wave propagation is modeled by the stochastic Helmholtz equation with the source driven by an additive white noise. The goal is to reconstruct the statistical properties of the random source such as the mean and variance from the boundary measurement of the radiated random wave fi...

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

A Tikhonov-Type Regularization Method for Identifying the Unknown Source in the Modified Helmholtz Equation

Fast integral equation methods for the modified Helmholtz equation

Talk Abstract We present an efficient integral equation method approach to solve the forced heat equation, ut(x) − ∆u(x) = F (x, u, t), in a two dimensional, multiply connected domain, with Dirichlet boundary conditions. We first discretize in time, which is known as Rothe’s method, resulting in a non-homogeneous modified Helmholtz equation that is solved at each time step. We formulate the sol...