ON THE STABILITY OF THE DISCONTINUOUS GALERKIN METHOD FOR THE HEAT-EQUATION

Authors
MAKRIDAKIS CG BABUSKA I
Citation
Cg. Makridakis et I. Babuska, ON THE STABILITY OF THE DISCONTINUOUS GALERKIN METHOD FOR THE HEAT-EQUATION, SIAM journal on numerical analysis, 34(1), 1997, pp. 389-401
Citations number
16
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
34
Issue
1
Year of publication
1997
Pages
389 - 401
Database
ISI
SICI code
0036-1429(1997)34:1<389:OTSOTD>2.0.ZU;2-5
Abstract
This paper analyzes stability properties of a class of discontinuous G alerkin methods for the heat equation. It is shown that the finite ele ment projection associated with these methods is stable with respect t o a mesh-dependent norm-a discrete analogue of the space-time L(2)-nor m. Optimal order-regularity error bounds in L(2)([0, T]; L(2)(Omega)) are derived.