5 papers · 1 filter
Resonant solutions and (in)stability of the linear wave equation
Giancarlo Sangalli, Davide Terazzi, Pietro Zanotti
We revise the analysis of the acoustic wave equation, addressing the question whether the classical well-posedness implies the existence of an isomorphism between prescribed soluti…
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…
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…
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…
Inf-sup stable discretization of the quasi-static Biot's equations in poroelasticity
C. Kreuzer, P. Zanotti
We propose a new full discretization of the Biot's equations in poroelasticity. The construction is driven by the inf-sup theory, which we recently developed. It builds upon the fo…