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

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

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ASJC Scopus subject areas

Numerical Analysis
Computational Mathematics
Applied Mathematics

Cite this

Wei, D. (1992). Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem. SIAM Journal on Numerical Analysis, 29(2), 484-497. https://doi.org/10.1137/0729029

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10.1137/0729029