Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
521007 | Journal of Computational Physics | 2011 | 17 Pages |
Abstract
We show how to solve hyperbolic equations numerically on unbounded domains by compactification, thereby avoiding the introduction of an artificial outer boundary. The essential ingredient is a suitable transformation of the time coordinate in combination with spatial compactification. We construct a new layer method based on this idea, called the hyperboloidal layer. The method is demonstrated on numerical tests including the one dimensional Maxwell equations using finite differences and the three dimensional wave equation with and without nonlinear source terms using spectral techniques.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Anıl Zenginoğlu,