Weak Galerkin methods for the Stokes eigenvalue problem

Autor:	Fan, Yunying, Zhai, Qilong
Rok vydání:	2023
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.09373 Zobrazit plný text záznamu View this record from Arxiv