19 citations · 115 across the 27 of their papers we have counts for
13 papers · 1 filter
Splitting Techniques for DAEs with port-Hamiltonian Applications
Andreas Bartel, Malak Diab, Andreas Frommer +2
In the simulation of differential-algebraic equations (DAEs), it is essential to employ numerical schemes that take into account the inherent structure and maintain explicit or hid…
On a port-Hamiltonian formulation and structure-preserving numerical approximations for thermodynamic compressible fluid flow
Sarah-Alexa Hauschild, Nicole Marheineke
The high volatility of renewable energies calls for more energy efficiency. Thus, different physical systems need to be coupled efficiently although they run on various time scales…
Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials
Lukas Kannengiesser, Walter Arne, Alexander Bier +3
For the simulation-based design of fiber melt spinning processes, the accurate modeling of the processed polymer with regard to its material behavior is crucial. In this work, we d…
Operator splitting for port-Hamiltonian systems
Andreas Frommer, Michael Günther, Björn Liljegren-Sailer +1
The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so…
Certified Reduced Basis Method for the Damped Wave Equations on Networks
Nadine Stahl, Björn Liljegren-Sailer, Nicole Marheineke
In this paper we present a reduced basis method which yields structure-preservation and a tight a posteriori error bound for the simulation of the damped wave equations on networks…
On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks
Björn Liljegren-Sailer, Nicole Marheineke
This paper is on the construction of structure-preserving, online-efficient reduced models for the barotropic Euler equations with a friction term on networks. The nonlinear flow p…
Nonlinear Reduction using the Extended Group Finite Element Method
Kevin Tolle, Nicole Marheineke
In this paper, we develop a nonlinear reduction framework based on our recently introduced extended group finite element method. By interpolating nonlinearities onto approximation…
Efficient Graph-based Tensile Strength Simulations of Random Fiber Structures
Marc Harmening, Nicole Marheineke, Raimund Wegener
In this paper, we propose a model-simulation framework for virtual tensile strength tests of random fiber structures, as they appear in nonwoven materials. The focus is on the effi…
On port-Hamiltonian approximation of a nonlinear flow problem on networks
Björn Liljegren-Sailer, Nicole Marheineke
This paper deals with the systematic development of structure-preserving approximations for a class of nonlinear partial differential equations on networks. The class includes, for…
Extended Group Finite Element Method
Kevin Tolle, Nicole Marheineke
Interpolation methods for nonlinear finite element discretizations are commonly used to eliminate the computational costs associated with the repeated assembly of the nonlinear sys…
Input-tailored system-theoretic model order reduction for quadratic-bilinear systems
Björn Liljegren-Sailer, Nicole Marheineke
In this paper we suggest a moment matching method for quadratic-bilinear dynamical systems. Most system-theoretic reduction methods for nonlinear systems rely on multivariate frequ…
On structure-preserving model reduction for damped wave propagation in transport networks
Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer +2
We consider the discretization and subsequent model reduction of a system of partial differential-algebraic equations describing the propagation of pressure waves in a pipeline net…
On a nonlinear partial differential algebraic system arising in technical textile industry: Analysis and numerics
Martin Grothaus, Nicole Marheineke
In this paper we explore a numerical scheme for a nonlinear fourth order system of partial differential algebraic equations that describes the dynamics of slender inextensible elas…