34 citations · 210 across the 52 of their papers we have counts for
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math.NA2019
On the structure preserving high-order approximation of quasistatic poroelasticity
Herbert Egger, Mania Sabouri
We consider the systematic numerical approximation of Biot's quasistatic model for the consolidation of a poroelastic medium. Various discretization schemes have been analysed for…
math.NA2019
A second order finite element method with mass lumping for wave equations in
Herbert Egger, Bogdan Radu
We consider the efficient numerical approximation of acoustic wave propagation in time domain by a finite element method with mass lumping. In the presence of internal damping, the…
math.NA2019
On energy preserving high-order discretizations for nonlinear acoustics
Herbert Egger, Vsevolod Shashkov
This paper addresses the numerical solution of the Westervelt equation, which arises as one of the model equations in nonlinear acoustics. The problem is rewritten in a canonical f…