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

Dongming Wei

Research output: Contribution to journal › Article

22 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 languageEnglish
Pages (from-to)484-497
Number of pages14
JournalSIAM Journal on Numerical Analysis
Volume29
Issue number2
Publication statusPublished - Apr 1992
Externally publishedYes

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Quasilinear Problems
Method of Lines
Finite Element Solution
Parabolic Problems
Initial-boundary-value Problem
Numerical analysis
Numerical Analysis
Error Estimates
Existence and Uniqueness
Initial conditions
Exact Solution
Boundary value problems

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

Cite this

Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem. / Wei, Dongming.

In: SIAM Journal on Numerical Analysis, Vol. 29, No. 2, 04.1992, p. 484-497.

Research output: Contribution to journal › Article

Wei, D 1992, 'Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem', SIAM Journal on Numerical Analysis, vol. 29, no. 2, pp. 484-497.
Wei D. Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem. SIAM Journal on Numerical Analysis. 1992 Apr;29(2):484-497.
Wei, Dongming. / Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem. In: SIAM Journal on Numerical Analysis. 1992 ; Vol. 29, No. 2. pp. 484-497.
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