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12 papers · 2 filters
Solving an Integral Equation Eigenvalue Problem via a New Domain Decomposition Method and Hierarchical Matrices
Peter Gerds
In this paper the author introduces a new domain decomposition method for the solution of discretised integral equation eigenvalue problems. The new domain decomposition method is…
Hybrid stochastic kinetic description of two-dimensional traffic dynamics
Michael Herty, Andrea Tosin, Giuseppe Visconti +1
In this work we present a two-dimensional kinetic traffic model which takes into account speed changes both when vehicles interact along the road lanes and when they change lane. A…
An isogeometric finite element formulation for phase transitions on deforming surfaces
Christopher Zimmermann, Deepesh Toshniwal, Chad M. Landis +3
This paper presents a general theory and isogeometric finite element implementation for studying mass conserving phase transitions on deforming surfaces. The mathematical problem i…
Boundary-Conforming Free-Surface Flow Computations: Interface Tracking for Linear, Higher-Order and Isogeometric Finite Elements
Florian Zwicke, Sebastian Eusterholz, Stefanie Elgeti
The simulation of certain flow problems requires a means for modeling a free fluid surface; examples being viscoelastic die swell or fluid sloshing in tanks. In a finite-element co…
A Comparative Study of Limiting Strategies in Discontinuous Galerkin Schemes for the Model of Radiation Transport
Prince Chidyagwai, Martin Frank, Florian Schneider +1
The minimum entropy moment system is a system of hyperbolic balance laws that approximates the radiation transport equation, and has many desirable properties. Among them are…
An adaptive rectangular mesh administration and refinement technique with application in cancer invasion models
Niklas Kolbe, Nikolaos Sfakianakis
We present an administration technique for the bookkeeping of adaptive mesh refinement on (hyper-)rectangular meshes. Our technique is a unified approach for h-refinement on 1-, 2-…