12 citations · 32 across the 14 of their papers we have counts for
18 papers
A mathematical model for meniscus cartilage regeneration
Elise Grosjean, Bernd Simeon, Christina Surulescu
We propose a continuous model for meniscus cartilage regeneration triggered by two populations of cells migrating and (de)differentiating within an artificial scaffold with a known…
Scaled boundary isogeometric analysis with C1 coupling for Kirchhoff plate theory
Jeremias Arf, Mathias Reichle, Sven Klinkel +1
Although isogeometric analysis exploits smooth B-spline and NURBS basis functions for the definition of discrete function spaces as well as for the geometry representation, the glo…
Smooth multi-patch scaled boundary isogeometric analysis for Kirchhoff-Love shells
Mathias Reichle, Jeremias Arf, Bernd Simeon +1
In this work, a linear Kirchhoff-Love shell formulation in the framework of scaled boundary isogeometric analysis is presented that aims to provide a simple approach to trimming fo…
The non-intrusive reduced basis two-grid method applied to sensitivity analysis
Elise Grosjean, Bernd Simeon
This paper deals with the derivation of Non-Intrusive Reduced Basis (NIRB) techniques for sensitivity analysis, more specifically the direct and adjoint state methods. For highly c…
Mixed Isogeometric Discretizations for Planar Linear Elasticity
Jeremias Arf, Bernd Simeon
In this article we suggest two discretization methods based on isogeometric analysis (IGA) for planar linear elasticity. On the one hand, we apply the well-known ansatz of weakly i…
The mean-field limit for particle systems with uniform full-rank constraints
Steffen Plunder, Bernd Simeon
We consider a particle system with uniform coupling between a macroscopic component and individual particles. The constraint for each particle is of full rank, which implies that e…
A Physics-Based Model Reduction Approach for Node-to-Segment Contact Problems in Linear Elasticity
Diana Manvelyan, Bernd Simeon, Utz Wever
The paper presents a new reduction method designed for dynamic contact problems. Recently, we have proposed an efficient reduction scheme for the node-to-node formulation, that lea…
Structure-preserving Discretization of the Hessian Complex based on Spline Spaces
Jeremias Arf, Bernd Simeon
We want to propose a new discretization ansatz for the second order Hessian complex exploiting benefits of isogeometric analysis, namely the possibility of high-order convergence a…
A space-time isogeometric method for the partial differential-algebraic system of Biot's poroelasticity model
Jeremias Arf, Bernd Simeon
Biot's equations of poroelasticity contain a parabolic system for the evolution of the pressure, which is coupled with a quasi-stationary equation for the stress tensor. Thus, it i…
An Efficient Model Order Reduction Scheme for Dynamic Contact in Linear Elasticity
Diana Manvelyan, Bernd Simeon, Utz Wever
The paper proposes an approach for the efficient model order reduction of dynamic contact problems in linear elasticity. Instead of the augmented Lagrangian method that is widely u…
Mesh deformation techniques in fluid-structure interaction: robustness, accumulated distortion and computational efficiency
Alexander Shamanskiy, Bernd Simeon
An important ingredient of any moving-mesh method for fluid-structure interaction (FSI) problems is the mesh deformation technique (MDT) used to adapt the computational mesh in the…
Coupled Systems of Differential-Algebraic and Kinetic Equations with Application to the Mathematical Modelling of Muscle Tissue
Steffen Plunder, Bernd Simeon
We consider a coupled system composed of a linear differential-algebraic equation (DAE) and a linear large-scale system of ordinary differential equations where the latter stands f…
Differential-Algebraic Equations and Beyond: From Smooth to Nonsmooth Constrained Dynamical Systems
Jan Kleinert, Bernd Simeon
The present article presents a summarizing view at differential-algebraic equations (DAEs) and analyzes how new application fields and corresponding mathematical models lead to inn…
Isogeometric Parametrization Inspired by Large Elastic Deformation
Alexander Shamanskiy, Michael Helmut Gfrerer, Jochen Hinz +1
The construction of volumetric parametrizations for computational domains is a key step in the pipeline of isogeometric analysis. Here, we investigate a solution to this problem ba…
Isogeometric Simulation of Thermal Expansion for Twin Screw Compressors
Alexander Shamanskiy, Bernd Simeon
Isogeometric Analysis (IGA) is a recently introduced computational approach intended to breach the gap between the Finite Element Analysis and the Computer Aided Design worlds. In…
On a saddle point problem arising from magneto-elastic coupling
Mané Harutyunyan, Bernd Simeon
This paper deals with the analysis of a coupled problem arising from linear magneto-elastostaticity. The model, which can be derived by an energy principle, gives valuable insight…
Derivation of higher-order terms in FFT-based numerical homogenization
Felix Dietrich, Dennis Merkert, Bernd Simeon
In this paper, we first introduce the reader to the Basic Scheme of Moulinec and Suquet in the setting of quasi-static linear elasticity, which takes advantage of the fast Fourier…
Scaled Boundary Parametrizations in Isogeometric Analysis
Clarissa Arioli, Alexander Shamanskiy, Sven Klinkel +1
This paper deals with a special class of parametrizations for Isogeometric Analysis (IGA). The so-called scaled boundary parametrizations are easy to construct and particularly att…