A mixed finite element method for a strongly nonlinear second-order elliptic problem

F. A. Milner, Eun-Jae Park

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

The approximation of the solution of the first boundary value problem for a strongly nonlinear second-order elliptic problem in divergence form by the mixed finite element method is considered. Existence and uniqueness of the approximation are proved and optimal error estimates in L2 are established for both the scalar and vector functions approximated by the method. Error estimates are also derived in U, 2 < q < +∞.

Original languageEnglish
Pages (from-to)973-988
Number of pages16
JournalMathematics of Computation
Volume64
Issue number211
DOIs
Publication statusPublished - 1995 Jan 1

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Second-order Elliptic Problems
Mixed Finite Element Method
Finite element method
Optimal Error Estimates
Approximation
Boundary value problems
Error Estimates
Divergence
Existence and Uniqueness
Boundary Value Problem
Scalar
Form

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

Cite this

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A mixed finite element method for a strongly nonlinear second-order elliptic problem. / Milner, F. A.; Park, Eun-Jae.

In: Mathematics of Computation, Vol. 64, No. 211, 01.01.1995, p. 973-988.

Research output: Contribution to journalArticle

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