Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem

Dongming Wei

doi:10.1137/0729029

Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem

Dongming Wei

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

A quasilinear parabolic problem is studied. By using the method of lines, 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 fully discrete finite element solutions and the exact solution.

Original language	English
Pages (from-to)	484-497
Number of pages	14
Journal	SIAM Journal on Numerical Analysis
Volume	29
Issue number	2
DOIs	https://doi.org/10.1137/0729029
Publication status	Published - Jan 1 1992

ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

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abstract = "A quasilinear parabolic problem is studied. By using the method of lines, 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 fully discrete finite element solutions and the exact solution.",

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