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13 papers · 2 filters
Reconstruction of Refractive Indices from Spectral Measurements of Monodisperse Aerosols
Tobias Kyrion
For the investigation of two-component aerosols one needs to know the refractive indices of the two aerosol components. One problem is that they depend on temparature and pressure,…
From traffic and pedestrian follow-the-leader models with reaction time to first order convection-diffusion flow models
Antoine Tordeux, Guillaume Costeseque, Michael Herty +1
In this work, we derive first order continuum traffic flow models from a microscopic delayed follow-the-leader model. Those are applicable in the context of vehicular traffic flow…
An ultraweak DPG method for viscoelastic fluids
Brendan Keith, Philipp Knechtges, Nathan V. Roberts +3
We explore a vexing benchmark problem for viscoelastic fluid flows with the discontinuous Petrov-Galerkin (DPG) finite element method of Demkowicz and Gopalakrishnan [1,2]. In our…
Trace Finite Element Methods for PDEs on Surfaces
Maxim A. Olshanskii, Arnold Reusken
In this paper we consider a class of unfitted finite element methods for discretization of partial differential equations on surfaces. In this class of methods known as the Trace F…
Analysis of a high order Trace Finite Element Method for PDEs on level set surfaces
Jörg Grande, Christoph Lehrenfeld, Arnold Reusken
We present a new high order finite element method for the discretization of partial differential equations on stationary smooth surfaces which are implicitly described as the zero…
CWENO: uniformly accurate reconstructions for balance laws
I. Cravero, G. Puppo, M. Semplice +1
In this paper we introduce a general framework for defining and studying essentially non-oscillatory reconstruction procedures of arbitrarily high order accuracy, interpolating dat…