Some observations on mixed methods for fully nonlinear parabolic problems in divergence form

M. Y. Kim, F. A. Milner, E. J. Park

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in ℝd, d ≤ 3. Existence and uniqueness of the approximation are proved. Optimal order error estimates in L(J; L2(Ω)) and in L (J; H(div; Ω)) are demonstrated for the relevant variables.

Original languageEnglish (US)
Pages (from-to)75-81
Number of pages7
JournalApplied Mathematics Letters
Volume9
Issue number1
DOIs
StatePublished - Jan 1996
Externally publishedYes

Keywords

  • Error estimates
  • Mixed methods
  • Nonlinear parabolic problems

ASJC Scopus subject areas

  • Applied Mathematics

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