Error boundedness of discontinuous Galerkin spectral element approximations of hyperbolic problems
2016 (English)Report (Other academic)
We examine the long time error behavior of discontinuous Galerkin spectral element approximations to hyperbolic equations. We show that the choice of numerical flux at interior element boundaries affects the growth rate and asymptotic value of the error. Using the upwind flux, the error reaches the asymptotic value faster, and to a lower value than a central flux gives, especially for low resolution computations. The differences in the error caused by the numerical flux choice decrease as the solution becomes better resolved.
Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2016. , 17 p.
LiTH-MAT-R, ISSN 0348-2960 ; 2016:13
Discontinuous Galerkin spectral element method, energy stability, error growth, error bound, hyperbolic problems
Computational Mathematics Mathematics
IdentifiersURN: urn:nbn:se:liu:diva-130915OAI: oai:DiVA.org:liu-130915DiVA: diva2:956664