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A Dissipative Algorithm for Wave-like Equations in the Characteristic Formulation

✍ Scribed by Luis Lehner

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
126 KB
Volume
149
Category
Article
ISSN
0021-9991

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✦ Synopsis

We present a dissipative algorithm for solving nonlinear wave-like equations when the initial data is specified on characteristic surfaces. The dissipative properties built in this algorithm make it particularly useful when studying the highly nonlinear regime where previous methods have failed to give a stable evolution in three dimensions. The algorithm presented in this work is directly applicable to hyperbolic systems proper of electromagnetism, Yang-Mills, and general relativity theories. We carry out an analysis of the stability of the algorithm and test its properties with linear waves propagating on a Minkowski background and the scattering off a Scwharszchild black hole in general relativity.

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