eigenvalue approximation
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scholarly journals Variational eigenvalue approximation of non-coercive operators with application to mixed formulations in elasticity

SeMA Journal ◽  
2022 ◽  
Author(s):  
Salim Meddahi
Keyword(s):  
Finite Element ◽  
Mixed Finite Element ◽  
Sufficient Conditions ◽  
Rates Of Convergence ◽  
Galerkin Scheme ◽  
Eigenvalue Approximation ◽  
Finite Element Approximations ◽  
Mixed Formulations ◽  
Optimal Rates Of Convergence ◽  
Abstract Framework

AbstractWe present an abstract framework for the eigenvalue approximation of a class of non-coercive operators. We provide sufficient conditions to guarantee the spectral correctness of the Galerkin scheme and to obtain optimal rates of convergence. The theory is applied to the convergence analysis of mixed finite element approximations of the elasticity and Stokes eigensystems.

scholarly journals On variational eigenvalue approximation of semidefinite operators

2012 ◽  
Vol 33 (1) ◽  
pp. 164-189 ◽  
Author(s):  
S. H. Christiansen ◽  
R. Winther
Keyword(s):  
Eigenvalue Approximation
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