5 citations · 18 across the 23 of their papers we have counts for
4 papers · 1 filter
A general framework for nonlocal traffic flow models on networks
Alexander Keimer, Lukas Pflug, Florian Prohaska
We present a general computational framework for macroscopic nonlocal traffic flow models on networks with multiple commodities. The model combines scalar conservation laws on edge…
The obstacle problem for scalar conservation laws with nonlocal dynamics
Paulo Amorim, Alexander Keimer, Lukas Pflug +1
In this article, we present a method to find a solution to a one-dimensional nonlocal conservation law that respects a space-dependent mapping, referred to as the obstacle. This is…
Nonlocal Approximation Principle for Entropy Solutions of Scalar Conservation Laws
Alexander Keimer, Lukas Pflug
We establish a general nonlocal approximation principle for the entropy solutions of scalar conservation laws on . More precisely, we show that the entropy solution to…
On The Convergence of the Discretized Linear Static State-Based Peridynamic Equations
Lukas Pflug, Michael Stingl, Max Zetzmann
In this paper, the convergence of the solutions for a discretized linear state-based static peridynamic system to the corresponding continuous solution is analytically proven. To o…