3 papers
math.NA2026
Harmonic potentials in the de Rham complex
Martin Campos Pinto, Julian Owezarek
Representing vector fields by potentials can be a challenging task in domains with cavities or tunnels, due to the presence of harmonic fields which are both irrotational and solen…
math.NA2025
Broken-FEEC on multipatch domains with local refinements
Martin Campos Pinto, Frederik Schnack
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…
math.NA2024
Broken-FEEC discretizations and Hodge Laplace problems
Martin Campos-Pinto, Yaman Güçlü
This article studies structure-preserving discretizations of Hilbert complexes with nonconforming spaces that rely on projections onto an underlying conforming subcomplex. This app…