Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications

Y. Efendiev; A. Pankov

doi:10.1163/1569395054012785

Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications

Y. Efendiev^*, A. Pankov

^*Corresponding author for this work

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

Abstract

In this paper we obtain Meyers type L ^p+ε-estimates for approximate solutions of nonlinear parabolic equations. This research is motivated by a numerical homogenization of these type of equations [2]. Using derived estimates we show the convergence of numerical solutions obtained from numerical homogenization methods.

Original language	English (US)
Pages (from-to)	105-118
Number of pages	14
Journal	Journal of Numerical Mathematics
Volume	13
Issue number	2
DOIs	https://doi.org/10.1163/1569395054012785
State	Published - 2005
Externally published	Yes

Keywords

Finite elements
Nonlinear equations
Parabolic equations

ASJC Scopus subject areas

Computational Mathematics

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10.1163/1569395054012785

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title = "Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications",

abstract = "In this paper we obtain Meyers type L p+ε-estimates for approximate solutions of nonlinear parabolic equations. This research is motivated by a numerical homogenization of these type of equations [2]. Using derived estimates we show the convergence of numerical solutions obtained from numerical homogenization methods.",

keywords = "Finite elements, Nonlinear equations, Parabolic equations",

author = "Y. Efendiev and A. Pankov",

year = "2005",

doi = "10.1163/1569395054012785",

language = "English (US)",

volume = "13",

pages = "105--118",

journal = "Journal of Numerical Mathematics",

issn = "1570-2820",

publisher = "Walter de Gruyter GmbH",

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T1 - Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications

AU - Efendiev, Y.

AU - Pankov, A.

PY - 2005

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AB - In this paper we obtain Meyers type L p+ε-estimates for approximate solutions of nonlinear parabolic equations. This research is motivated by a numerical homogenization of these type of equations [2]. Using derived estimates we show the convergence of numerical solutions obtained from numerical homogenization methods.

KW - Finite elements

KW - Nonlinear equations

KW - Parabolic equations

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U2 - 10.1163/1569395054012785

DO - 10.1163/1569395054012785

M3 - Article

AN - SCOPUS:21244455635

SN - 1570-2820

VL - 13

SP - 105

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JO - Journal of Numerical Mathematics

JF - Journal of Numerical Mathematics

IS - 2

ER -

Meyers type estimates for approximate solutions of nonlinear parabolic equations and their applications

Abstract

Keywords

ASJC Scopus subject areas

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