190432
20181203023325.0
doi
10.1016/S0045-7825(98)00361-2
0045-7825
ISI
000081650700008
ARTICLE
Stable spectral methods for conservation laws on triangles with unstructured grids
ELSEVIER SCIENCE SA
1999
1999
Journal Articles
This paper presents an asymptotically stable scheme for the spectral approximation of linear conservation laws defined on a triangle. Lagrange interpolation on a general two-dimensional nodal set is employed and, by imposing the boundary conditions weakly through a penalty term, the scheme is proven stable in L-2. This result is established for a general unstructured grid in the triangle. A special case, for which the nodes along the edges of the triangle are chosen as the Legendre Gauss-Lobatto quadrature points, is discussed in detail. The eigenvalue spectrum of the approximation to the advective operator is computed and is shown to result in an O(n(-2)) restriction on the time-step when considering explicit time-stepping. (C) 1999 Elsevier Science S.A. All rights reserved.
247428
Hesthaven, Jan S.
232231
Gottlieb, D
175
3-4
361-381
Computer Methods in Applied Mechanics and Engineering
252492
MCSS
U12703
oai:infoscience.tind.io:190432
SB
article
EPFL-ARTICLE-190432
Hesthaven1999c/MCSS
OTHER
REVIEWED
PUBLISHED
ARTICLE