EXISTENCE, UNIQUENESS, AND NUMERICAL-ANALYSIS OF SOLUTIONS OF A QUASI-LINEAR PARABOLIC PROBLEM

Authors
WEI DM
Citation
Dm. Wei, EXISTENCE, UNIQUENESS, AND NUMERICAL-ANALYSIS OF SOLUTIONS OF A QUASI-LINEAR PARABOLIC PROBLEM, SIAM journal on numerical analysis, 29(2), 1992, pp. 484-497
Citations number
12
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
29
Issue
2
Year of publication
1992
Pages
484 - 497
Database
ISI
SICI code
0036-1429(1992)29:2<484:EUANOS>2.0.ZU;2-9
Abstract
A quasilinear parabolic problem is studied. By using the method of lin es, the existence and uniqueness of a solution to the initial boundary value problem with sufficiently smooth initial conditions are shown. Also given are L2 error estimates for the error between the extended f ully discrete finite element solutions and the exact solution.