External approximation of first order variational problems estimates
Cesare Davini, Roberto Paroni (2008)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Here we present an approximation method for a rather broad class of first order variational problems in spaces of piece-wise constant functions over triangulations of the base domain. The convergence of the method is based on an inequality involving norms obtained by Nečas and on the general framework of -convergence theory.