Guaranteed lower eigenvalue bounds for Steklov operators using conforming finite element methods

Autor:	Nakano, Taiga, Li, Qin, Yue, Meiling, Liu, Xuefeng
Rok vydání:	2020
Předmět:	Mathematics - Numerical Analysis 65N30 65N25 65L15 65B99
Druh dokumentu:	Working Paper
Popis:	For the eigenvalue problem of the Steklov differential operator, by following Liu's approach, an algorithm utilizing the conforming finite element method (FEM) is proposed to provide guaranteed lower bounds for the eigenvalues. The proposed method requires the a priori error estimation for FEM solution to nonhomogeneous Neumann problems, which is solved by constructing the hypercircle for the corresponding FEM spaces and boundary conditions. Numerical examples are also shown to confirm the efficiency of our proposed method. Comment: 26 pages, 15 figures, 7 tables
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2001.09820 Zobrazit plný text záznamu View this record from Arxiv