APPROXIMATION BY PIECEWISE CONSTANT FUNCTIONS IN A BV METRIC
- 1 March 2003
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Mathematical Models and Methods in Applied Sciences
- Vol. 13 (03) , 373-393
- https://doi.org/10.1142/s0218202503002556
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.Keywords
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