Volume 8, Issue 2
Optimal Error Estimates of the Local Discontinuous Galerkin Method for Willmore Flow of Graphs on Cartesian Meshes

L. Ji and Y. Xu

Int. J. Numer. Anal. Mod., 8 (2011), pp. 252-283

Preview Full PDF BiBTex 0 352
  • Abstract

In this paper, we analyze a local discontinuous Galerkin method for the willmore flow of graphs. We derive the optimal error estimates for this nonlinear equation in one-dimension and in multi-dimensions for Cartesian meshes using completely discontinuous piecewise polynomial space with degree $k \leq 1$.

  • History

Published online: 2011-08

  • AMS Subject Headings

65M60, 35K55

  • Cited by