Abstract
We study the approximation properties of piecewise constant functions with respect to triangular and rectangular finite elements in a metric defined on functions of bounded variation. We apply our results to a thin film model for martensitic crystals and to the approximation of deformations with microstructure.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 373-393 |
| Number of pages | 21 |
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 13 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2003 |
Bibliographical note
Funding Information:This work was supported in part by AFOSR F49620-98-1-0433, by NSF DMS-0074043, and by the Minnesota Supercomputer Institute.
Keywords
- Approximation
- Bounded variation
- Finite element
- Martensite
- Piecewise constant
- Thin film