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arXiv · 1601.01429

An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem

Hai Bi·Hao Li·Yidu Yang
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Abstract

This paper proposes and analyzes an a posteriori error estimator for the finite element multi-scale discretization approximation of the Steklov eigenvalue problem. Based on the a posteriori error estimates, an adaptive algorithm of shifted inverse iteration type is designed. Finally, numerical experiments comparing the performances of three kinds of different adaptive algorithms are provided, which illustrate the efficiency of the adaptive algorithm proposed here.

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Hai Bi, Hao Li, Yidu Yang. 2016-01-07. An adaptive algorithm based on the shifted inverse iteration for the Steklov eigenvalue problem. https://arxiv.org/abs/1601.01429

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