most citedLocking free and gradient robust H(div)-conforming HDG methods for linear elasticity

6 citations · 6 across the 4 of their papers we have counts for

collaborators

5 papers

math.NA2020

A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation

Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman +3

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…

math.NA20206 cited

Locking free and gradient robust H(div)-conforming HDG methods for linear elasticity

Guosheng Fu, Christoph Lehrenfeld, Alexander Linke +1

Robust discretization methods for (nearly-incompressible) linear elasticity are free of volume-locking and gradient-robust. While volume-locking is a well-known problem that can be…

math.AP2019

On the numerical range of sectorial forms

Antonius Frederik Maria ter Elst, Joachim Rehberg, Alexander Linke

We provide a sharp and optimal generic bound for the angle of the sectorial form associated to a non-symmetric second-order elliptic differential operator with various boundary con…

math.NA2019

A gradient-robust well-balanced scheme for the compressible isothermal Stokes problem

Mine Akbas, Thierry Gallouet, Almut Gassmann +2

A novel notion for constructing a well-balanced scheme - a gradient-robust scheme - is introduced and a showcase application for a steady compressible, isothermal Stokes equations…

physics.chem-ph2019

Induced charge electroosmotic flow with finite ion size and solvation effects

Jürgen Fuhrmann, Clemens Guhlke, Christian Merdon +2

The most common mathematical models for electrolyte flows are based on the dilute solution assumption, leading to a coupled system of the Nernst--Planck--Poisson drift-diffusion eq…