Some observations on mixed methods for fully nonlinear parabolic problems in divergence form

M. Y. Kim; F. A. Milner; E. J. Park

doi:10.1016/0893-9659(95)00106-9

Some observations on mixed methods for fully nonlinear parabolic problems in divergence form

M. Y. Kim, F. A. Milner, E. J. Park

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

19 Scopus citations

Abstract

Mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in ℝ^d, d ≤ 3. Existence and uniqueness of the approximation are proved. Optimal order error estimates in L^∞(J; L²(Ω)) and in L^∞ (J; H(div; Ω)) are demonstrated for the relevant variables.

Original language	English (US)
Pages (from-to)	75-81
Number of pages	7
Journal	Applied Mathematics Letters
Volume	9
Issue number	1
DOIs	https://doi.org/10.1016/0893-9659(95)00106-9
State	Published - Jan 1996
Externally published	Yes

Keywords

Error estimates
Mixed methods
Nonlinear parabolic problems

ASJC Scopus subject areas

Applied Mathematics

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10.1016/0893-9659(95)00106-9

Cite this

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title = "Some observations on mixed methods for fully nonlinear parabolic problems in divergence form",

abstract = "Mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in ℝd, d ≤ 3. Existence and uniqueness of the approximation are proved. Optimal order error estimates in L∞(J; L2(Ω)) and in L∞ (J; H(div; Ω)) are demonstrated for the relevant variables.",

keywords = "Error estimates, Mixed methods, Nonlinear parabolic problems",

author = "Kim, {M. Y.} and Milner, {F. A.} and Park, {E. J.}",

year = "1996",

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doi = "10.1016/0893-9659(95)00106-9",

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AU - Kim, M. Y.

AU - Milner, F. A.

AU - Park, E. J.

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Y1 - 1996/1

N2 - Mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in ℝd, d ≤ 3. Existence and uniqueness of the approximation are proved. Optimal order error estimates in L∞(J; L2(Ω)) and in L∞ (J; H(div; Ω)) are demonstrated for the relevant variables.

AB - Mixed finite element methods are considered to approximate the solution of fully nonlinear second order parabolic problems in divergence form in ℝd, d ≤ 3. Existence and uniqueness of the approximation are proved. Optimal order error estimates in L∞(J; L2(Ω)) and in L∞ (J; H(div; Ω)) are demonstrated for the relevant variables.

KW - Error estimates

KW - Mixed methods

KW - Nonlinear parabolic problems

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

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ER -

Some observations on mixed methods for fully nonlinear parabolic problems in divergence form

Abstract

Keywords

ASJC Scopus subject areas

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