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

Dongho Kim; Eun Jae Park

doi:10.1016/j.camwa.2006.03.006

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

Dongho Kim, Eun Jae Park

Department of Computational Science and Engineering

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

7 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 language	English
Pages (from-to)	793-804
Number of pages	12
Journal	Computers and Mathematics with Applications
Volume	51
Issue number	5 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.camwa.2006.03.006
Publication status	Published - 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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10.1016/j.camwa.2006.03.006

Cite this

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title = "Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities",

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.",

keywords = "A posteriori error estimate, A priori error estimates, Nonlinear equations, Primal mixed finite-element methods",

author = "Dongho Kim and Park, {Eun Jae}",

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

year = "2006",

month = mar,

doi = "10.1016/j.camwa.2006.03.006",

language = "English",

volume = "51",

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T1 - Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities

AU - Kim, Dongho

AU - Park, Eun Jae

N1 - Funding Information: This work is supported in part by Korea Research Foundation KRF 2003-005-C00012.

PY - 2006/3

Y1 - 2006/3

N2 - 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.

AB - 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.

KW - A posteriori error estimate

KW - A priori error estimates

KW - Nonlinear equations

KW - Primal mixed finite-element methods

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M3 - Article

AN - SCOPUS:33745943096

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SP - 793

EP - 804

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 5 SPEC. ISS.

ER -

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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