A REFINED BOUNDARY-ELEMENT METHOD FOR THE HEAT-EQUATION

Authors
BOURLARD M NICAISE S
Citation
M. Bourlard et S. Nicaise, A REFINED BOUNDARY-ELEMENT METHOD FOR THE HEAT-EQUATION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(9), 1996, pp. 1091-1096
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
9
Year of publication
1996
Pages
1091 - 1096
Database
ISI
SICI code
0764-4442(1996)323:9<1091:ARBMFT>2.0.ZU;2-X
Abstract
We show that the solution of the heat equation in a cylinder with a po lygonal basis belongs to an anisotropic weighted space. Then we approx imate the solution of this problem by reducing it to a boundary integr al equation. Owing to the obtained regularity, we get an optimal order of convergence using an anisotropic mesh (uniform in time and refitte d in space; see [1] for elliptic problems).