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math.NA2024
Numerical Study of Approximation Techniques for the Temporal Weights to the DWR Method
Marius Paul Bruchhäuser, Markus Bause
This work presents a numerical investigation of different approximation techniques for the temporal weights used in the Dual Weighted Residual (DWR) method applied to a time-depend…
math.NA2024
Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements
Markus Bause, Mathias Anselmann
The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal…
math.NA2023★ 3 cited
An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity
Mathias Anselmann, Markus Bause, Nils Margenberg +1
We present families of space-time finite element methods (STFEMs) for a coupled hyperbolic-parabolic system of poro- or thermoelasticity. Well-posedness of the discrete problems is…