3 papers
math.NA2024
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…
math.NA2024
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…
cs.MS2024
FEniCSx-pctools: Tools for PETSc block linear algebra preconditioning in FEniCSx
Martin Řehoř, Jack S. Hale
Solving partial differential equations with the finite element method leads to large linear systems of equations that must be solved. When these systems have a natural block struct…