Multiscale Computation of a Steklov Eigenvalue Problem with Rapidly Oscillating Coefficients

Multiscale Computation of a Steklov Eigenvalue Problem with Rapidly Oscillating Coefficients

Year:    2013

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 1 : pp. 42–73

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2013-IJNAM-558

International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 1 : pp. 42–73

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    32

Keywords:    Steklov eigenvalue problem multiscale method superapproximation estimate.