APPROXIMATION BY PIECEWISE CONSTANT FUNCTIONS IN A BV METRIC
Pavel Bělı́k, Mitchell Luskin · Mathematical Models and Methods in Applied Sciences · 2003
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.