Explicit Construction of Piecewise Affine Mappings with Constraints
Waldemar Pompe · Bulletin of the Polish Academy of Sciences Mathematics · 2010
We construct explicitly piecewise affine mappings $u\colon\mathbb R^n\to\mathbb R^n$ with affine boundary data satisfying the constraint $\mathop{\rm div} u=0$. As an application of the construction we give short and direct proofs of the main approxima