The Influence of Variational Crimes on the Finite Element Approximation of a Maxwell Eigenvalue Problem

2008 ◽  
Author(s):  
Wouter Hamelinck
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Variational Crimes

scholarly journals Conforming Finite Element Approximations for a Fourth-Order Steklov Eigenvalue Problem

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Hai Bi ◽  
Shixian Ren ◽  
Yidu Yang
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Fourth Order ◽  
Finite Element Approximation ◽  
Continuous Operator ◽  
Element Approximation ◽  
Morley Element ◽  
Steklov Eigenvalue ◽  
Conforming Finite Element ◽  
Steklov Eigenvalue Problem

This paper characterizes the spectrum of a fourth-order Steklov eigenvalue problem by using the spectral theory of completely continuous operator. The conforming finite element approximation for this problem is analyzed, and the error estimate is given. Finally, the bounds for Steklov eigenvalues on the square domain are provided by Bogner-Fox-Schmit element and Morley element.

scholarly journals Finite Element Approximation for the Fractional Eigenvalue Problem

2018 ◽  
Vol 77 (1) ◽  
pp. 308-329 ◽  
Author(s):  
Juan Pablo Borthagaray ◽  
Leandro M. Del Pezzo ◽  
Sandra Martínez
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Finite Element Approximation ◽  
Element Approximation

On the Finite Element Approximation of a 2D Maxwell Eigenvalue Problem in a Domain with Curved Boundaries

2007 ◽  
Author(s):  
Wouter Hamelinck ◽  
Roger Van Keer ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Curved Boundaries

A virtual element method for a biharmonic Steklov eigenvalue problem

2019 ◽  
Vol 10 (4) ◽  
pp. 325-337 ◽  
Author(s):  
Gabriel Monzón
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Fourth Order ◽  
Finite Element Approximation ◽  
Element Approximation ◽  
Virtual Element Method ◽  
Eigenvalues And Eigenfunctions ◽  
Steklov Eigenvalue ◽  
Steklov Eigenvalue Problem ◽  
Virtual Element

AbstractWe propose a finite element approximation for a fourth-order Steklov eigenvalue problem by means of the virtual elements. In this setting we derive error estimates for the eigenvalues and eigenfunctions under standard assumptions on the domain.

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