Scientific Computing Group Report - Detail view

Identifier: 2011-29

Author(s): T. Xiong, C.-W. Shu and M. Zhang

Title: A priori error estimates for semi-discrete discontinuous Galerkin methods solving nonlinear Hamilton-Jacobi equations with smooth solutions

Page count: 33 pp.

Date: Nov. 29, 2011

Abstract:

In this paper, we provide a priori L2 error estimates for the semi-discrete discontinuous Galerkin method [3] and the local discontinuous Galerkin method [22] for one- and two-dimensional nonlinear Hamilton-Jacobi equations with smooth solutions. With a special Gauss-Radau projection, the optimal error estimates on rectangular meshes are obtained.

BibTeX:

@techreport{brown_sc_2011_29,
  title = "{A priori error estimates for semi-discrete discontinuous Galerkin methods solving nonlinear Hamilton-Jacobi equations with smooth solutions}",
  author = "T. Xiong, C.-W. Shu and M. Zhang",
  institution = "Scientific Computing Group, Brown University",
  number = "2011-29",
  address = "Providence, RI, USA",
  year = 2011,
  month = nov,
}

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