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

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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.

Original languageEnglish
Pages (from-to)484-497
Number of pages14
JournalSIAM Journal on Numerical Analysis
Volume29
Issue number2
DOIs
Publication statusPublished - Jan 1 1992

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ASJC Scopus subject areas

  • Numerical Analysis
  • Computational Mathematics
  • Applied Mathematics

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