Volume 10, Issue 1
Multiscale Computation of a Steklov Eigenvalue Problem with Rapidly Oscillating Coefficients

L. Cao, L. Zhang, W. Allegretto & Y. Lin

Int. J. Numer. Anal. Mod., 10 (2013), pp. 42-73.

Published online: 2013-10

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  • 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

Steklov eigenvalue problem, multiscale method, superapproximation estimate.

  • AMS Subject Headings

35R35, 49J40, 60G40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-10-42, author = {}, title = {Multiscale Computation of a Steklov Eigenvalue Problem with Rapidly Oscillating Coefficients}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2013}, volume = {10}, number = {1}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/558.html} }
TY - JOUR T1 - Multiscale Computation of a Steklov Eigenvalue Problem with Rapidly Oscillating Coefficients JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 42 EP - 73 PY - 2013 DA - 2013/10 SN - 10 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/558.html KW - Steklov eigenvalue problem, multiscale method, superapproximation estimate. 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.

L. Cao, L. Zhang, W. Allegretto & Y. Lin. (1970). Multiscale Computation of a Steklov Eigenvalue Problem with Rapidly Oscillating Coefficients. International Journal of Numerical Analysis and Modeling. 10 (1). 42-73. doi:
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