Approximation by Piecewise Constant Functions in a bv Metric

Authors

Pavel Bělík, Augsburg UniversityFollow
Mitchell Luskin, University of Minnesota - Twin Cities

Document Type

Article

Publication Date

2003

DOI

10.1142/S0218202503002556

Abstract

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.

Comments

Electronic version of an article published in Mathematical Models & Methods in Applied Sciences, 13:373–393, 2003. https://doi.org/10.1142/S0218202503002556

Recommended Citation

Bělík, Pavel and Luskin, Mitchell, "Approximation by Piecewise Constant Functions in a bv Metric" (2003). Faculty Authored Articles. 8.
https://idun.augsburg.edu/faculty_scholarship/8