14 citations · 19 across the 12 of their papers we have counts for
12 papers
Intrinsic Structure of Elasticity in Hilbert Space
Cristian G. Gebhardt, Johannes Lankeit, Marc C. Steinbach
Mathematical elasticity has a long history and a huge body of literature. Surprisingly, at its heart elasticity exhibits a rich and transparent structure that, to our knowledge, is…
Numerical Analysis of a Cut Finite Element Approach for Fully Eulerian Fluid-Structure Interaction with Fixed Interface
Stefan Frei, Tobias Knoke, Marc C. Steinbach +2
This work develops and analyzes a variational-monolithic unfitted finite element formulation of a linear fluid-structure interaction problem in Eulerian coordinates with a fixed in…
Accurate Thyroid Cancer Classification using a Novel Binary Pattern Driven Local Discrete Cosine Transform Descriptor
Saurabh Saini, Kapil Ahuja, Marc C. Steinbach +1
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 importan…
Numerical Simulations of Fully Eulerian Fluid-Structure Contact Interaction using a Ghost-Penalty Cut Finite Element Approach
Stefan Frei, Tobias Knoke, Marc C. Steinbach +2
In this work, we develop a cut-based unfitted finite element formulation for solving nonlinear, nonstationary fluid-structure interaction with contact in Eulerian coordinates. In t…
Optimizing Non-Intersecting Synthetic Vascular Trees in Nonconvex Organs
Etienne Jessen, Marc C. Steinbach, Dominik Schillinger
The understanding of the mechanisms driving vascular development is still limited. Techniques to generate vascular trees synthetically have been developed to tackle this problem. H…
Damage Location in Mechanical Structures by Multi-Objective Pattern Search
Christian Günther, Benedikt Hofmeister, Clemens Hübler +4
We propose a multi-objective global pattern search algorithm for the task of locating and quantifying damage in flexible mechanical structures. This is achieved by identifying eige…
Accelerating Aeroelastic UVLM Simulations by Inexact Newton Algorithms
Jenny Schubert, Marc C. Steinbach, Christian Hente +2
We consider the aeroelastic simulation of flexible mechanical structures submerged in subsonic fluid flows at low Mach numbers. The nonlinear kinematics of flexible bodies are desc…
Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements
Stefan Frei, Tobias Knoke, Marc C. Steinbach +2
We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element…
Formulating and Heuristic Solving of Contact Problems in Hybrid Data-Driven Computational Mechanics
Cristian Guillermo Gebhardt, Senta Lange, Marc Christian Steinbach
In this work we consider the hybrid Data-Driven Computational Mechanics (DDCM) approach, in which a smooth constitutive manifold is reconstructed to obtain a well-behaved nonlinear…
Analysis of a space-time phase-field fracture complementarity model and its optimal control formulation
Denis Khimin, Johannes Lankeit, Marc C. Steinbach +1
The purpose of this work is the formulation of optimality conditions for phase-field optimal control problems. The forward problem is first stated as an abstract nonlinear optimiza…
Space-time formulation, discretization, and computational performance studies for phase-field fracture optimal control problems
Denis Khimin, Marc C. Steinbach, Thomas Wick
The purpose of this work is the development of space-time discretization schemes for phase-field optimal control problems. Specifically in the optimal control minimization problem,…
Multigoal-oriented error estimation and mesh adaptivity for fluid-structure interaction
K. Ahuja, B. Endtmayer, M. C. Steinbach +1
In this work, we consider multigoal-oriented error estimation for stationary fluid-structure interaction. The problem is formulated within a variational-monolithic setting using ar…