3 papers
math.NA2019
Single-Step Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Method for 1-D Euler Equations
Jayesh Badwaik, Praveen Chandrashekar, Christian Klingenberg
We propose an explicit, single step discontinuous Galerkin (DG) method on moving grids using the arbitrary Lagrangian-Eulerian (ALE) approach for one dimensional Euler equations. T…
math.NA2019
Convergence rates of monotone schemes for conservation laws with discontinuous flux
Jayesh Badwaik, Adrian Montgomery Ruf
We prove that a class of monotone finite volume schemes for scalar conservation laws with discontinuous flux converge at a rate of in , whenever the flux…
math.NA2019
Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux
Jayesh Badwaik, Christian Klingenberg, Nils Henrik Risebro +1
We consider conservation laws with discontinuous flux where the initial datum, the flux function, and the discontinuous spatial dependency coefficient are subject to randomness. We…