Thomas Wick
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View article: Accurate Thyroid Cancer Classification using a Novel Binary Pattern Driven Local Discrete Cosine Transform Descriptor
Accurate Thyroid Cancer Classification using a Novel Binary Pattern Driven Local Discrete Cosine Transform Descriptor Open
In this study, we develop a new CAD system for accurate thyroid cancer classification with emphasis on feature extraction. Prior studies have shown that thyroid texture is important for segregating the thyroid ultrasound images into differ…
View article: Algorithmic Realization of the Solution to the Sign Conflict Problem for Hanging Nodes on Hp-Hexahedral Nédélec Elements
Algorithmic Realization of the Solution to the Sign Conflict Problem for Hanging Nodes on Hp-Hexahedral Nédélec Elements Open
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 meshes, no solution or implementation has been available to …
View article: Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables
Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables Open
The modeling of fluids is an important field for mechanics of materials. In this work, we demonstrate that Hamilton's principle, which is well‐known for the modeling of solids, can also be formulated to derive the Navier–Stokes equations, …
View article: Quantifying damage in an AlSi10Mg porous metamaterial through projection-enhanced DVC
Quantifying damage in an AlSi10Mg porous metamaterial through projection-enhanced DVC Open
A 4D (i.e. spacetime) characterization technique, based on projection-enhanced DVC, was proposed to analyze the mesostructural changes of an aluminum-silicon cellular metamaterial produced via Laser Powder Bed Fusion. This metamaterial, wh…
View article: Multigoal-oriented dual-weighted-residual error estimation using PINNs
Multigoal-oriented dual-weighted-residual error estimation using PINNs Open
Deep learning has shown successful application in visual recognition and certain artificial intelligence tasks. It is mainly considered as a powerful tool with high flexibility to approximate functions. This paper proposes a generalized NU…
View article: A Thermo‐Flow‐Mechanics‐Fracture Model Coupling a Phase‐Field Interface Approach and Thermo‐Fluid‐Structure Interaction
A Thermo‐Flow‐Mechanics‐Fracture Model Coupling a Phase‐Field Interface Approach and Thermo‐Fluid‐Structure Interaction Open
This work proposes a novel approach for coupling non‐isothermal fluid dynamics with fracture mechanics to capture thermal effects within fluid‐filled fractures accurately. This method addresses critical aspects of calculating fracture widt…
View article: Coupling deal.II and FROSch: A Sustainable and Accessible (O)RAS Preconditioner
Coupling deal.II and FROSch: A Sustainable and Accessible (O)RAS Preconditioner Open
In this work, restricted additive Schwarz (RAS) and optimized restricted additive Schwarz (ORAS) preconditioners from the Trilinos package FROSch (Fast and Robust Overlapping Schwarz) are employed to solve model problems implemented using …
View article: Fracture as an Emergent Phenomenon
Fracture as an Emergent Phenomenon Open
The mechanics of fracture propagation provides essential knowledge for the risk tolerance design of devices, structures, and vehicles. Techniques of free energy minimization provide guidance, but have limited applicability to material syst…
View article: Towards model‐guided feedback control of hydrogels bioprinting
Towards model‐guided feedback control of hydrogels bioprinting Open
This contribution addresses the problem of controlling the Degree of Crosslinking (DoC) in printed hydrogels through feedback control as a product quality indicator from a modeling approach. We set up a simulation that resembles co‐axial p…
View article: A thermo-flow-mechanics-fracture model coupling a phase-field interface approach and thermo-fluid-structure interaction
A thermo-flow-mechanics-fracture model coupling a phase-field interface approach and thermo-fluid-structure interaction Open
Geothermal energy, a promising renewable source, relies on efficiently utilizing geothermal reservoirs, especially in Enhanced Geothermal Systems (EGS), where fractures in hot rock formations enhance permeability. Understanding fracture be…
View article: Optimal control of partial differential equations in PyTorch using automatic differentiation and neural network surrogates
Optimal control of partial differential equations in PyTorch using automatic differentiation and neural network surrogates Open
The take-home message of this paper is that solving optimal control problems can be computationally straightforward, provided that differentiable partial differential equation (PDE) solvers are available. Although this might seem to be a s…
View article: Generalization capabilities of MeshGraphNets to unseen geometries for fluid dynamics
Generalization capabilities of MeshGraphNets to unseen geometries for fluid dynamics Open
This works investigates the generalization capabilities of MeshGraphNets (MGN) [Pfaff et al. Learning Mesh-Based Simulation with Graph Networks. ICML 2021] to unseen geometries for fluid dynamics, e.g. predicting the flow around a new obst…
View article: Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling
Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling Open
This study explores reduced-order modeling for analyzing time-dependent diffusion-deformation of hydrogels. The full-order model describing hydrogel transient behavior consists of a coupled system of partial differential equations in which…
View article: A coupled high-accuracy phase-field fluid–structure interaction framework for Stokes fluid-filled fracture surrounded by an elastic medium
A coupled high-accuracy phase-field fluid–structure interaction framework for Stokes fluid-filled fracture surrounded by an elastic medium Open
In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid–structure interaction. The key motivation is to utilise phase-field modelling to compute the fracture path. A mesh reconstruction all…
View article: Matrix-Free Geometric Multigrid Preconditioning Of Combined Newton-GMRES For Solving Phase-Field Fracture With Local Mesh Refinement
Matrix-Free Geometric Multigrid Preconditioning Of Combined Newton-GMRES For Solving Phase-Field Fracture With Local Mesh Refinement Open
In this work, the matrix-free solution of quasi-static phase-field fracture problems is further investigated. More specifically, we consider a quasi-monolithic formulation in which the irreversibility constraint is imposed with a primal-du…
View article: A Posteriori Single- and Multi-Goal Error Control and Adaptivity for Partial Differential Equations
A Posteriori Single- and Multi-Goal Error Control and Adaptivity for Partial Differential Equations Open
This work reviews goal-oriented a posteriori error control, adaptivity and solver control for finite element approximations to boundary and initial-boundary value problems for stationary and non-stationary partial differential equations, r…
View article: Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density
Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density Open
In this work, we develop adaptive schemes using goal-oriented error control for a highly nonlinear flow temperature model with temperature dependent density. The dual-weighted residual method for computing error indicators to steer mesh re…
View article: Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems
Numerical Modeling and Open-Source Implementation of Variational Partition-of-Unity Localizations of Space-Time Dual-Weighted Residual Estimators for Parabolic Problems Open
In this work, we consider space-time goal-oriented a posteriori error estimation for parabolic problems. Temporal and spatial discretizations are based on Galerkin finite elements of continuous and discontinuous type. The main objectives a…
View article: A comparative analysis of transient finite-strain coupled diffusion-deformation theories for hydrogels
A comparative analysis of transient finite-strain coupled diffusion-deformation theories for hydrogels Open
This work presents a comparative review and classification between some well-known thermodynamically consistent models of hydrogel behavior in a large deformation setting, specifically focusing on solvent absorption/desorption and its impa…
View article: Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling
Parameter identification and uncertainty propagation of hydrogel coupled diffusion-deformation using POD-based reduced-order modeling Open
This study explores reduced-order modeling for analyzing the time-dependent diffusion-deformation of hydrogels. The full-order model describing hydrogel transient behavior consists of a coupled system of partial differential equations in w…
View article: A monolithic space–time temporal multirate finite element framework for interface and volume coupled problems
A monolithic space–time temporal multirate finite element framework for interface and volume coupled problems Open
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 multirate approach as this requires a careful design of the funct…