Broken-FEEC on multipatch domains with local refinements
Abstract
This article introduces a novel approach for broken-FEEC (Finite Element Exterior Calculus), extending its application to locally refined spline spaces with non-matching interfaces. Traditional broken-FEEC allows for discontinuous discretizations at patch interfaces, preserving the de Rham structure and offering computational benefits. However, local refinements often lead to numerical artifacts. Our solution involves developing moment-preserving discrete conforming projection operators. These operators are explicit, localized, and metric-independent, ensuring and continuity across non-matching interfaces while preserving high-order polynomial moments. This results in broken-FEEC de Rham sequences with accurate strong and weak derivatives, leading to energy-preserving Maxwell solvers that are explicit and virtually free of spurious modes. Numerical simulations confirm the efficacy of our method in eliminating spurious waves.
Cite
@article{arxiv.2511.22206,
title = {Broken-FEEC on multipatch domains with local refinements},
author = {Martin Campos Pinto and Frederik Schnack},
journal= {arXiv preprint arXiv:2511.22206},
year = {2025}
}