TY - JOUR
T1 - Multiscale Computation of a Steklov Eigenvalue Problem with Rapidly Oscillating Coefficients
AU - L. Cao, L. Zhang, W. Allegretto & Y. Lin
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 - <p style="text-align: justify;">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.</p>