3 papers
math.NA2025
Inf-sup theory for the quasi-static Biot's equations in poroelasticity
C. Kreuzer, P. Zanotti
We analyze the two-field formulation of the quasi-static Biot's equations in bounded domains by means of the inf-sup theory. For this purpose, we exploit an equivalent four-field f…
math.NA2025
Strictly equivalent a~posteriori error estimators for quasi-optimal nonconforming methods
Christian Kreuzer, Matthias Rott, Andreas Veeser +1
We devise a posteriori error estimators for quasi-optimal nonconforming finite element methods approximating symmetric elliptic problems of second and fourth order. These estimator…
math.NA2025
Pressure robust finite element discretizations of the nonlinear Stokes equations
Lars Diening, Adrian Hirn, Christian Kreuzer +1
We present first-order nonconforming Crouzeix-Raviart discretizations for the nonlinear generalized Stokes equations with -structure. Thereby the velocity-errors are indepe…