120 citations · 601 across the 50 of their papers we have counts for
8 papers · 2 filters
A coupled high-accuracy phase-field fluid-structure interaction framework for Stokes fluid-filled fracture surrounded by an elastic medium
Henry von Wahl, Thomas Wick
In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid-structure interaction. The key motivation is to utilize phase-field modell…
Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model
Shahin Heydari, Petr Knobloch, Thoma Wick
In the present work, we investigate a model of the invasion of healthy tissue by cancer cells which is described by a system of nonlinear PDEs consisting of a cross-diffusion-react…
A monolithic space-time temporal multirate finite element framework for interface and volume coupled problems
Julian Roth, Martyna Soszyńska, Thomas Richter +1
In this work, we propose and computationally investigate a monolithic space-time multirate scheme for coupled problems. The novelty lies in the monolithic formulation of the multir…
A modified combined active-set Newton method for solving phase-field fracture into the monolithic limit
Leon Maximilian Kolditz, Katrin Mang, Thomas Wick
In this work, we examine a numerical phase-field fracture framework in which the crack irreversibility constraint is treated with a primal-dual active set method and a linearizatio…
Algorithmic realization of the solution to the sign conflict problem for hanging nodes on hp-hexahedral Nédélec elements
Sebastian Kinnewig, Thomas Wick, Sven Beuchler
In this work, Nédélec elements on locally refined meshes with hanging nodes are considered. A crucial aspect is the orientation of the hanging edges and faces. For non-orientable m…
Global-Local Forward Models within Bayesian Inversion for Large Strain Fracturing in Porous Media
Nima Noii, Thomas Wick, Amirreza Khodadadian
In this work, Bayesian inversion with global-local forwards models is used to identify the parameters based on hydraulic fractures in porous media. It is well-known that using Baye…
MORe DWR: Space-time goal-oriented error control for incremental POD-based ROM
Hendrik Fischer, Julian Roth, Thomas Wick +2
In this work, the dual-weighted residual (DWR) method is applied to obtain a certified incremental proper orthogonal decomposition (POD) based reduced order model. A novel approach…
Analysis of a fully discretized FDM-FEM scheme for solving thermo-elastic-damage coupled nonlinear PDE systems
Maryam Parvizi, Amirreza Khodadadian, Thomas Wick
In this paper, we consider a nonlinear PDE system governed by a parabolic heat equation coupled in a nonlinear way with a hyperbolic momentum equation describing the behavior of a…