Weak Galerkin methods for the Stokes eigenvalue problem

Yunying Fan; Qilong Zhai

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arXiv · 2307.09373

Weak Galerkin methods for the Stokes eigenvalue problem

Yunying Fan·Qilong Zhai

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Abstract

In this paper, we rewrite the Stokes eigenvalue problem as an Elliptic eigenvalue problem restricted to subspace, and introduce an abstract framework of solving abstract elliptic eigenvalue problem to give the WG scheme, error estimates and asymptotic lower bounds. Besides, we introduce a new stabilizer and several inequalities to prove GLB properties. Some numerical examples are provided to validate our theoretical analysis.

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BibTeX RIS

Yunying Fan, Qilong Zhai. 2023-07-18. Weak Galerkin methods for the Stokes eigenvalue problem. https://arxiv.org/abs/2307.09373

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