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≥1.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 252-283 |
| Number of pages | 32 |
| Journal | International Journal of Numerical Analysis and Modeling |
| Volume | 8 |
| Issue number | 2 |
| State | Published - Jan 12 2011 |
Keywords
- Error estimates
- Local discontinuous galerkin method
- Stability
- Willmore flow of graphs