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139 papers · 1 filter
Convergence of a Control Volume Finite Element scheme for a cross-diffusion system modeling ion transport
Arne Berrens, Robert Eymard
An approximation of a system coupling the cross-diffusion of chemical species within a solvent, subjected to an electric field, is obtained through a control volume finite element…
A Reduced Magnetic Vector Potential Approach with Higher-Order Splines
Merle Backmeyer, Laura A. M. D'Angelo, Brahim Ramdane +1
This work presents a high-order isogeometric formulation for magnetoquasistatic eddy-current problems based on a decomposition into Biot-Savart-driven source fields and finite-elem…
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…