Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

Dongho Kim, Eun Jae Park

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We study the primal mixed finite-element approximation of the second-order elliptic problem with gradient nonlinearities. Existence and uniqueness of the approximate solution are proved and optimal-order a priori error estimates are obtained. Also, reliable a posteriori error estimators are derived.

Original languageEnglish
Pages (from-to)793-804
Number of pages12
JournalComputers and Mathematics with Applications
Volume51
Issue number5 SPEC. ISS.
DOIs
Publication statusPublished - 2006 Mar

Bibliographical note

Funding Information:
This work is supported in part by Korea Research Foundation KRF 2003-005-C00012.

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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