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7 papers · 2 filters
Hybrid multiscale method for polymer melts: analysis and simulations
Ranajay Datta, Mária Lukáčová-Medviďová, Andreas Schömer +1
We model the flow behaviour of dense melts of flexible and semiflexible ring polymers in the presence of walls using a hybrid multiscale approach. Specifically, we perform molecula…
Convergence of hyperbolic approximations to higher-order PDEs for smooth solutions
Jan Giesselmann, Hendrik Ranocha
We prove the convergence of hyperbolic approximations for several classes of higher-order PDEs, including the Benjamin-Bona-Mahony, Korteweg-de Vries, Gardner, Kawahara, and Kuramo…
A stabilized Two-Step Formulation of Maxwell's Equations in the time-domain
Leon Herles, Mario Mally, Jörg Ostrowski +2
Simulating electromagnetic fields across broad frequency ranges is challenging due to numerical instabilities at low frequencies. This work extends a stabilized two-step formulatio…
Comparison of -matrix- and FMM-based 3D-ACA for a time-domain boundary element method
Martin Schanz, Vibudha Lakshmi Keshava, Herbert de Gersem
The homogeneous wave equation is solved by a time-domain boundary element method (BEM) using low-order shape functions for spatial, and the generalised convolution quadrature metho…
Energy-based modeling for field-circuit coupling
Robert Altmann, Idoia Cortes Garcia, Elias Paakkunainen +2
This paper presents a generalized energy-based modeling framework extending recent formulations tailored for differential-algebraic equations. The proposed structure, inspired by t…
A Two-Step Formulation of Maxwell's Equations Using Generalized Tree-Cotree Gauges for Low-Frequency-Stability
Leon Herles, Mario Mally, Jörg Ostrowski +2
This paper presents a new low-frequency stabilization for a two-step formulation solving the full set of Maxwell's equations. The formulation is based on a electric scalar and magn…