The Spectral Element Method for the Steklov Eigenvalue Problem

Abstract:

This paper discusses the spectral element approximation with LGL node basis for the Steklov eigenvalue problem, and analyzes the a priori error estimates. Finally, numerical experi-ments on the square and the L-shaped domain are carried out to get very accurate approximations by the spectral element method.

• Periodical: Advanced Materials Research (Volume 853)
• Pages: 631-635
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.853.631
• Online since: December 2013
• Authors: Yan Jun Li, Yi Du Yang, Hai Bi*
• Keywords: Coupled Fluid-Solid Vibrations, Error Estimates, Spectral Element Method, Steklov Eigenvalue Problem

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