Publication

On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws

Erik Burman
2007
Journal Articles

Abstract

A finite element method for Burgers' equation is studied. The method is analyzed using techniques from stabilized finite element methods and convergence to entropy solutions is proven under certain hypotheses on the artificial viscosity. In particular we assume that a discrete maximum principle holds. We then construct a nonlinear artificial viscosity that satisfies the assumptions required for convergence and that can be tuned to minimize artificial viscosity away from local extrema.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

On nonlinear artificial viscosity, discrete maximum principle and hyperbolic conservation laws

Chat with Graph Search

A Quasilinear Model for Momentum Transport Including Rotation and Electron-scale Turbulence

High-order geometric integrators for the variational Gaussian wavepacket dynamics and application to vibronic spectra at finite temperature

Modeling friction and wear using an adaptive discrete-continuum coupling