Multigrid Wave-Ray Algorithms for Helmholtz Equations

Achi Brandt
Weizmann Institute of Science, Israel

Ira Livshits
Carnegie Mellon University, USA

Abstract

In this work we present some applications of the multigrid wave-ray algorithm (Brandt, Livshits). Initially, they were developed to solve Helmholtz equations with radiation boundary conditions. The accuracy of approximate solutions for these problems, defined on the infinite domains, is discussed.

We also consider some modifications of the algorithms that makes them applicable for solving Helmholtz equations with different boundary settings.