Accession Number:

ADA464872

Title:

A Local Discontinuous Galerkin Method for the Camassa-Holm Equation

Descriptive Note:

Corporate Author:

TWENTE UNIV ENSCHEDE (NETHERLANDS)

Personal Author(s):

Report Date:

2007-01-10

Pagination or Media Count:

30.0

Abstract:

In this paper, we develop, analyze and test a local discontinuous Galerkin LDG method for solving the Camassa-Holm equation which contains nonlinear high order derivatives. The LDG method has the flexibility for arbitrary h and p adaptivity. We prove the L2 stability for general solutions and give a detailed error estimate for smooth solutions, and provide numerical simulation results for different types of solutions of the nonlinear Camassa-Holm equation to illustrate the accuracy and capability of the LDG method.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE