• search hit 4 of 19
Back to Result List

A hybrid discontinuous Galerkin method for transport equations on networks

Submission Status:in press
  • We discuss the mathematical modeling and numerical discretization of 5 transport problems on one-dimensional networks. Suitable coupling conditions are derived that guarantee conservation of mass across network junctions and dissipation of a mathematical energy which allows us to prove existence of unique solutions. We then consider the space discretization by a hybrid discontinuous Galerkin method which provides a suitable upwind mechanism to handle the transport prob10 lem and allows to incorporate the coupling conditions in a natural manner. In addition, the method inherits mass conservation and stability of the continuous problem. Order optimal convergence rates are established and illustrated by numerical tests.

Download full text files

Export metadata

Metadaten
Author:Herbert Egger, Nora Philippi
Parent Title (English):Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
Document Type:Article
Language:English
Date of Publication (online):2020/01/22
Release Date:2020/10/13
Institutes:Technische Universität Darmstadt
Subprojects:C04
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International