2 papers
math.NA2026
Approximation properties of double complexes
Daniel Førland Holmen, Jan Martin Nordbotten, Jon Eivind Vatne
We consider the simplicial de Rham complex and the Äech-de Rham complex, two bigraded Hilbert complexes whose Hodge-Laplace problems govern spatially coupled problems in mixed dim…
math.AT2024
An abstract approximation tool for mixed-dimensional and equidimensional modeling
Daniel Førland Holmen, Jan Martin Nordbotten, Jon Eivind Vatne
Many coupled problems in engineering and science can be described by elliptic partial differential equations on adjacent domains, where the coupling can be considered either as a t…