Work

Weak Galerkin methods for the Stokes eigenvalue problem

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2307.09373

Authors: Fan, Yunying, Zhai, Qilong

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4384811748

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