A FINITE-ELEMENT METHOD FOR A DIFFUSION EQUATION WITH CONSTRAINED ENERGY AND NONLINEAR BOUNDARY-CONDITIONS

Authors
PANI AK
Citation
Ak. Pani, A FINITE-ELEMENT METHOD FOR A DIFFUSION EQUATION WITH CONSTRAINED ENERGY AND NONLINEAR BOUNDARY-CONDITIONS, Journal of the Australian Mathematical Society. Series B. Applied mathematics, 35, 1993, pp. 87-102
Citations number
7
Categorie Soggetti
Mathematics,Mathematics
Journal title
Journal of the Australian Mathematical Society. Series B. Applied mathematics → ACNP
ISSN journal
03342700
Volume
35
Year of publication
1993
Part
1
Pages
87 - 102
Database
ISI
SICI code
0334-2700(1993)35:<87:AFMFAD>2.0.ZU;2-N
Abstract
A finite element Galerkin method for a diffusion equation with constra ined energy and nonlinear boundary condition is analysed and optimal e rror estimates in L2 and L(infinity)-norms are derived. These results improve upon previously derived estimates by Cannon et al. [4].