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

F. A. Milner; E. J. Park

doi:10.1090/S0025-5718-1995-1303087-3

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

F. A. Milner, E. J. Park

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

47 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 language	English
Pages (from-to)	973-988
Number of pages	16
Journal	Mathematics of Computation
Volume	64
Issue number	211
DOIs	https://doi.org/10.1090/S0025-5718-1995-1303087-3
Publication status	Published - 1995 Jul

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1995-1303087-3

Cite this

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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 < +∞.",

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AB - 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 < +∞.

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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