This paper is concerned with the derivation and properties of differential complexes arising
from a variety of problems in differential equations, with applications in continuum …

The Stokes complex: A review of exactly divergence–free finiteelement pairsfor
incompressibleflows Page 152 Contemporary Mathematics Volume 754 , 2020 https://doi …

Discretization of Navier--Stokes equations using pressure-robust finite element methods is
considered for the high Reynolds number regime. To counter oscillations due to dominating …

We are studying the efficient solution of the system of linear equations stemming from the
mass conserving stress‐yielding (MCS) discretization of the Stokes equations. We perform …

The embedded discontinuous Galerkin (EDG) finite element method for the Stokes problem
results in a pointwise divergence-free approximate velocity on cells. However, the …

We consider the quasi-static Biot's consolidation model in a three-field formulation with the
three unknown physical quantities of interest being the displacement u of the solid matrix …

We present a novel asymptotic-preserving semi-implicit finite element method for weakly
compressible and incompressible flows based on compatible finite element spaces. The …

We construct a family of finite element sub-complexes of the conformal complex on
tetrahedral meshes. This complex includes vector fields and symmetric and traceless tensor …

We study a technique for verification of stress and pressure computations on boundaries in
flow simulations. We utilize existing experiments to provide validation of the simulations. We …

We assess the ability of three different approaches based on high-order discontinuous
Galerkin methods to simulate under-resolved turbulent flows. The capabilities of the mass …