1 citations · 2 across the 5 of their papers we have counts for
5 papers
Concepts for Composing Finite Element Function Space Bases
Christian Engwer, Carsten Gräser, Steffen Müthing +2
Finite Element discretizations of coupled multi-physics partial differential equation models require the handling of composed function spaces. In this paper we discuss software con…
The Distributed and Unified Numerics Environment (DUNE), Version 2.10
Markus Blatt, Samuel Burbulla, Ansgar Burchardt +9
Version 2.10 of the Distributed and Unified Numerics Environment DUNE introduces a range of enhancements across its core and extension modules, with a continued emphasis on modern…
How to project onto SL()
Patrick Jaap, Oliver Sander
We consider the closest-point projection with respect to the Frobenius norm of a general real square matrix to the set SL() of matrices with unit determinant. As it turns out, i…
Quasiconvex relaxation of planar Biot-type energies and the role of determinant constraints
Robert J. Martin, Ionel-Dumitrel Ghiba, Maximilian Köhler +3
We derive the quasiconvex relaxation of the Biot-type energy density for planar mappings $φ\colon\mathbb{R}^2\to \m…
High-order integration on regular triangulated manifolds reaches super-algebraic approximation rates through cubical re-parameterizations
Gentian Zavalani, Oliver Sander, Michael Hecht
We present a novel methodology for deriving high-order volume elements (HOVE) designed for the integration of scalar functions over regular embedded manifolds. For constructing HOV…