The P-Version of the Mixed-Finite Element Method for Nonlinear Second-Order Elliptic Problems

Mi Young Kim; Eun Jae Park

doi:10.1002/num.1690120103

The P-Version of the Mixed-Finite Element Method for Nonlinear Second-Order Elliptic Problems

Mi Young Kim, Eun Jae Park

Department of Computational Science and Engineering

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

1 Citation (Scopus)

Abstract

The p-version of the mixed finite element method is considered for nonlinear second-order elliptic problems. Existence and uniqueness of the approximation are demonstrated and optimal order error estimates in L² are derived for the three relevant functions. Error estimates for the scalar function are also given in L^q, 2 ≤ q ≤ +∞.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Numerical Methods for Partial Differential Equations
Volume	12
Issue number	1
DOIs	https://doi.org/10.1002/num.1690120103
Publication status	Published - 1996 Jan

All Science Journal Classification (ASJC) codes

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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title = "The P-Version of the Mixed-Finite Element Method for Nonlinear Second-Order Elliptic Problems",

abstract = "The p-version of the mixed finite element method is considered for nonlinear second-order elliptic problems. Existence and uniqueness of the approximation are demonstrated and optimal order error estimates in L2 are derived for the three relevant functions. Error estimates for the scalar function are also given in Lq, 2 ≤ q ≤ +∞.",

author = "Kim, {Mi Young} and Park, {Eun Jae}",

year = "1996",

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AB - The p-version of the mixed finite element method is considered for nonlinear second-order elliptic problems. Existence and uniqueness of the approximation are demonstrated and optimal order error estimates in L2 are derived for the three relevant functions. Error estimates for the scalar function are also given in Lq, 2 ≤ q ≤ +∞.

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The P-Version of the Mixed-Finite Element Method for Nonlinear Second-Order Elliptic Problems

Abstract

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