Comparison of the stability of discontinuous Galerkin and finite-difference methods
Articles
Raimondas Čiegis
Vilnius Gediminas Technical University
Remigijus Čiegis
Vilniaus University
Olga Suboč
Vilniaus University
Published 2002-12-20
https://doi.org/10.15388/LMR.2002.33038
PDF

How to Cite

Čiegis, R. , Čiegis, R. and Suboč, O. (2002) “Comparison of the stability of discontinuous Galerkin and finite-difference methods”, Lietuvos matematikos rinkinys, 42(spec.), pp. 599–603. doi:10.15388/LMR.2002.33038.

Abstract

In this article we present stability analysis of two discrete schemes, which are used to solve a parabolic problem on adaptive nonstationary meshes. The influence of interpolation and projection errors is investigated. It is proved that interpolation error accumulates during computations while projection error has much better stability properties. Numerical examples illustrate these theoretical results.

PDF
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Downloads

Download data is not yet available.