2 papers
math.NA2023
Local space-preserving decompositions for the bubble transform
Richard S. Falk, Ragnar Winther
The bubble transform is a procedure to decompose differential forms, which are piecewise smooth with respect to a given triangulation of the domain, into a sum of local bubbles. In…
math.NA2021
The Bubble Transform and the de Rham Complex
Richard S. Falk, Ragnar Winther
The purpose of this paper is to discuss a generalization of the bubble transform to differential forms. The bubble transform was discussed in a previous paper by the authors for sc…