Regular convergence and finite element methods for eigenvalue problems

DOI10.1553/ETNA_VOL58S228zbMath1512.65253arXiv2206.00626OpenAlexW4322581319MaRDI QIDQ6163328

Bo Gong, Sun Jiguang

Publication date: 9 June 2023

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.00626

zbMATH Keywords

finite element methodseigenvalue problemsregular convergence

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

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• Finding eigenvalues of holomorphic Fredholm operator pencils using boundary value problems and contour integrals
• Mathematical aspects of discontinuous Galerkin methods.
• Holomorphic operator functions of one variable and applications. Methods from complex analysis in several variables
• A new finite element approach for the Dirichlet eigenvalue problem
• A new method using \(C^0\)IPG for the biharmonic eigenvalue problem
• FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses
• Discontinuous Galerkin approximation of the Laplace eigenproblem
• Diskrete Konvergenz linearer Operatoren. I
• Diskrete Konvergenz linearer Operatoren. II
• Approximation von Eigenwertproblemen bei nichtlinearer Parameterabhängigkeit
• Finite element calculation of photonic band structures for frequency dependent materials
• Finite Element Methods for Eigenvalue Problems
• C 0 Interior Penalty Galerkin Method for Biharmonic Eigenvalue Problems
• Finite element approximation of eigenvalue problems
• Morley finite element method for the eigenvalues of the biharmonic operator
• Eigenvalue Approximation by Mixed and Hybrid Methods
• Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations
• Spectral Approximation for Compact Operators
• On spectral approximation. Part 1. The problem of convergence
• On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
• Approximation in eigenvalue problems for holomorphic fredholm operator functions I
• Approximation in eigenvalue problems for holomorphic fredholm operator functions Ii (Convergence Rate)
• The Mathematical Theory of Finite Element Methods

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