scholarly journals Boundary element approximation for Maxwell's eigenvalue problem

2013 ◽  
Vol 36 (18) ◽  
pp. 2524-2539 ◽  
Author(s):  
Christian Wieners ◽  
Jiping Xin
Keyword(s):  
Eigenvalue Problem ◽  
Boundary Element ◽  
Element Approximation

scholarly journals Two-level preconditioning for $$h$$-version boundary element approximation of hypersingular operator with GenEO

2020 ◽  
Vol 146 (3) ◽  
pp. 597-628
Author(s):  
Pierre Marchand ◽  
Xavier Claeys ◽  
Pierre Jolivet ◽  
Frédéric Nataf ◽  
Pierre-Henri Tournier
Keyword(s):  
Boundary Element ◽  
Element Approximation

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.

A Posteriori Error Estimates for a Steklov Eigenvalue Problem

2012 ◽  
Vol 557-559 ◽  
pp. 2081-2086 ◽  
Author(s):  
Ling Ling Sun ◽  
Yi Du Yang
Keyword(s):  
Eigenvalue Problem ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
Error Estimator ◽  
Element Approximation ◽  
A Posteriori ◽  
Validity And Reliability ◽  
A Posteriori Error ◽  
Steklov Eigenvalue ◽  
Steklov Eigenvalue Problem

This paper discusses the finite element approximation for a Steklov eigenvalue problem. Based on the work of Armentano and Padra ( Appl Numer Math 58 (2008) 593-601), an a posteriori error estimator is provided and its validity and reliability are proved theoretically. Finally, numerical experiments with Matlab program are carried out to confirm the theoretical analysis.

The Spectral Element Method for the Steklov Eigenvalue Problem

2013 ◽  
Vol 853 ◽  
pp. 631-635 ◽  
Author(s):  
Yan Jun Li ◽  
Yi Du Yang ◽  
Hai Bi
Keyword(s):  
Eigenvalue Problem ◽  
Spectral Element Method ◽  
A Priori ◽  
Spectral Element ◽  
Element Approximation ◽  
Steklov Eigenvalue ◽  
Steklov Eigenvalue Problem ◽  
Priori Error Estimates ◽  
Shaped Domain ◽  
Element Method

This paper discusses the spectral element approximation with LGL node basis for the Steklov eigenvalue problem, and analyzes the a priori error estimates. Finally, numerical experi-ments on the square and the L-shaped domain are carried out to get very accurate approximations by the spectral element method.

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
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