41 citations · 101 across the 14 of their papers we have counts for
15 papers
Approximation properties of double complexes
Daniel Førland Holmen, Jan Martin Nordbotten, Jon Eivind Vatne
We consider the simplicial de Rham complex and the Čech-de Rham complex, two bigraded Hilbert complexes whose Hodge-Laplace problems govern spatially coupled problems in mixed dime…
On a vectorized basic linear algebra package for prototyping codes in MATLAB
Alexej Moskovka, Talal Rahman, Jan Valdman +1
When writing high-performance code for numerical computation in a scripting language like MATLAB, it is crucial to have the operations in a large for-loop vectorized. If not, the c…
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…
The Hodge-Laplacian on the Čech-de Rham complex governs coupled problems
Wietse Marijn Boon, Daniel Førland Holmen, Jan Martin Nordbotten +1
By endowing the Čech-de Rham complex with a Hilbert space structure, we obtain a Hilbert complex with sufficient properties to allow for well-posed Hodge-Laplace problems. We obser…
The minimum angle condition for -simplices
Sergey Korotov, Jon Eivind Vatne
In this note we present a natural generalization of the minimum angle condition, commonly used in the finite element analysis for planar triangulations, to the case of simplicial m…
On generalizations of the Synge-Křížek maximum angle condition for -simplices
Ali Khademi, Sergey Korotov, Jon Eivind Vatne
In this note we present a generalization of the maximum angle condition, proposed by J. L. Synge in 1957 and M. Křížek in 1992 for triangular and tetrahedral elements, respectively…