1 citations · 1 across the 3 of their papers we have counts for
7 papers
Automated dimensional analysis for PDEs
Michal Habera, Andreas Zilian
Physical units are fundamental to scientific computing. However, many finite element frameworks lack built-in support for dimensional analysis. In this work, we present a systemati…
A structure-preserving discretisation of SO(3)-rotation fields for finite Cosserat micropolar elasticity
Lucca Schek, Peter Lewintan, Wolfgang Müller +5
We introduce a new method, dubbed Geometric Structure-Preserving Interpolation (-SPIN) to preserve physics-constraints inherent in the material parameter limits of the finite-s…
Cosserat micropolar and couple-stress elasticity models of flexomagnetism at finite deformations
Adam Sky, David Codony, Stephan Rudykh +3
We propose geometrically nonlinear (finite) continuum models of flexomagnetism based on the Cosserat micropolar and its descendent couple-stress theory. These models introduce the…
Numerically stable evaluation of closed-form expressions for eigenvalues of matrices
Michal Habera, Andreas Zilian
Trigonometric formulas for eigenvalues of matrices that build on Cardano's and Viète's work on algebraic solutions of the cubic are numerically unstable for matrices…
Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculus
Adam Sky, Jack S. Hale, Andreas Zilian +2
We present an approach to the coupling of mixed-dimensional continua by employing the mathematically enriched linear Cosserat micropolar model. The kinematical reduction of the mod…
Formulae and transformations for simplicial tensorial finite elements via polytopal templates
Adam Sky, Michael Neunteufel, Jack S. Hale +1
We introduce a unified method for constructing the basis functions of a wide variety of partially continuous tensor-valued finite elements on simplices using polytopal templates. T…