A finite difference scheme on a non commutative group |
| |
| Authors: | Yves Achdou Nicoletta Tchou |
| |
| Institution: | (1) INSA Rennes, 20 Av des Buttes de Coesmes, 35043 Rennes, France , FR;(2) Laboratoire ASCI, CNRS, Orsay, France , FR;(3) IRMAR, Université de Rennes 1, Campus de Beaulieu, 35 000 Rennes, France; e-mail: nicoletta.tchou@univ-rennes1.fr , FR |
| |
| Abstract: | Summary. We propose and analyze a finite difference scheme for the Kohn Laplacian operator associated with the Heisenberg group, which
is a degenerate elliptic operator of H?rmander type. We give a complete analysis for a periodic problem in a cube. In particular,
we prove a discrete Poincaré-Wiertinger inequality which yields the stability. Numerical tests are presented.
Received June 1, 1999 / Revised version received June 7, 2000 / Published online March 20, 2001 |
| |
| Keywords: | Mathematics Subject Classification (1991): 65N06 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
