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.