Westudytheapproximationpropertiesofpiecewiseconstantfunc- tions 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.
Bělík, Pavel and Luskin, Mitchell, "Approximation by Piecewise Constant Functions in a bv Metric" (2003). Faculty Authored Articles. 8.