Multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients

Li Qun Cao; Lei Zhang; Walter Allegretto; Yanping Lin

Multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients

Li Qun Cao, Lei Zhang, Walter Allegretto, Yanping Lin

Research output: Journal article publication › Journal article › Academic research › peer-review

Abstract

In this paper we consider the multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients. The new contribution obtained in this paper is a superapproximation estimate for solving the homogenized Steklov eigenvalue problem and to present a multiscale numerical method. Numerical simulations are then carried out to validate the theoretical results reported in the present paper.

Original language	English
Pages (from-to)	42-73
Number of pages	32
Journal	International Journal of Numerical Analysis and Modeling
Volume	10
Issue number	1
Publication status	Published - 21 Jan 2013

Keywords

Multiscale method
Steklov eigenvalue problem
Superapproximation estimate

ASJC Scopus subject areas

Numerical Analysis

Cite this

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title = "Multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients",

abstract = "In this paper we consider the multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients. The new contribution obtained in this paper is a superapproximation estimate for solving the homogenized Steklov eigenvalue problem and to present a multiscale numerical method. Numerical simulations are then carried out to validate the theoretical results reported in the present paper.",

keywords = "Multiscale method, Steklov eigenvalue problem, Superapproximation estimate",

author = "Cao, {Li Qun} and Lei Zhang and Walter Allegretto and Yanping Lin",

year = "2013",

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AU - Cao, Li Qun

AU - Zhang, Lei

AU - Allegretto, Walter

AU - Lin, Yanping

PY - 2013/1/21

Y1 - 2013/1/21

N2 - In this paper we consider the multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients. The new contribution obtained in this paper is a superapproximation estimate for solving the homogenized Steklov eigenvalue problem and to present a multiscale numerical method. Numerical simulations are then carried out to validate the theoretical results reported in the present paper.

AB - In this paper we consider the multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients. The new contribution obtained in this paper is a superapproximation estimate for solving the homogenized Steklov eigenvalue problem and to present a multiscale numerical method. Numerical simulations are then carried out to validate the theoretical results reported in the present paper.

KW - Multiscale method

KW - Steklov eigenvalue problem

KW - Superapproximation estimate

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M3 - Journal article

SN - 1705-5105

VL - 10

SP - 42

EP - 73

JO - International Journal of Numerical Analysis and Modeling

JF - International Journal of Numerical Analysis and Modeling

IS - 1

ER -

Multiscale computation of a Steklov eigenvalue problem with rapidly oscillating coefficients

Abstract

Keywords

ASJC Scopus subject areas

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