English

UFL Dual Spaces, a proposal

Mathematical Software 2021-01-14 v1

Abstract

This white paper highlights current limitations in the algebraic closure Unified Form Language (UFL). UFL currently represents forms over finite element spaces, however finite element problems naturally result in objects in the dual to a finite element space, and operators mapping between primal and dual finite element spaces. This document sketches the relevant mathematical areas and proposes changes to the UFL language to support dual spaces as first class types in UFL.

Cite

@article{arxiv.2101.05158,
  title  = {UFL Dual Spaces, a proposal},
  author = {David A. Ham},
  journal= {arXiv preprint arXiv:2101.05158},
  year   = {2021}
}
R2 v1 2026-06-23T22:07:41.156Z