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≥1.
|Original language||English (US)|
|Number of pages||32|
|Journal||International Journal of Numerical Analysis and Modeling|
|State||Published - Jan 12 2011|
- Error estimates
- Local discontinuous galerkin method
- Willmore flow of graphs