Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods

DOI10.1016/j.cam.2009.08.114zbMath1176.65128OpenAlexW2008374651MaRDI QIDQ1034662

Quan Yuan, Zhiqing He

Publication date: 6 November 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2009.08.114

zbMATH Keywords

variational methodsLaplacian operatortrial functionseigenvalue boundsL-shaped region

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (6)

A reduced order model for the finite element approximation of eigenvalue problems ⋮ Computing ultra-precise eigenvalues of the Laplacian within polygons ⋮ A deep learning method for computing eigenvalues of the fractional Schrödinger operator ⋮ High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences ⋮ High-Precision Eigenvalue Bound for the Laplacian with Singularities ⋮ A self-regularized scheme for solving Helmholtz problems using the boundary element direct integration technique with radial basis functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Computing eigenmodes of elliptic operators using radial basis functions
• Methods for computing lower bounds to eigenvalues of self-adjoint operators
• Optimale Eigenwerteinschließungen
• Eigenvalue inclusions via domain decomposition
• Eigenvalues of the Laplacian in Two Dimensions
• Bounding Eigenvalues of Elliptic Operators
• Approximation theory methods for solving elliptic eigenvalue problems
• Use of trigonometric terms in the finite element method with application to vibrating membranes
• An Elliptic Eigenvalue Problem for a Reentrant Region
• Approximations and Bounds for Eigenvalues of Elliptic Operators
• Chebyshev Polynomial Approximations for the L-Membrane Eigenvalue Problem
• Bounds for Eigenvalues and Eigenvectors of Symmetric Operators

This page was built for publication: Bounds to eigenvalues of the Laplacian on L-shaped domain by variational methods