Approximation of infima in the calculus of variations
The goal of this paper is to give numerical estimates for some problems of the calculus of variations in the nonhomogeneous scalar case. The stored energy function considered is then a function \(\varphi: \Omega\times \mathbb{R}^n\to \mathbb{R}\). The authors try to compare the infimum of the energy defined by \(\varphi\) on a Sobolev space, with the infimum of the same energy on a finite element space, in terms of the mesh size.
scientific article; zbMATH DE number 1334511
scientific article