scholarly journals A Penalized Crouzeix–Raviart Element Method for Second Order Elliptic Eigenvalue Problems

2017 ◽  
Vol 74 (3) ◽  
pp. 1457-1479
Author(s):  
Jun Hu ◽  
Limin Ma
Keyword(s):  
Eigenvalue Problems ◽  
Second Order ◽  
Elliptic Eigenvalue Problems ◽  
Element Method

Least squares h-p spectral element method for elliptic eigenvalue problems

2012 ◽  
Vol 218 (19) ◽  
pp. 9596-9613 ◽  
Author(s):  
Lokendra K. Balyan ◽  
Pravir K. Dutt ◽  
R.K.S. Rathore
Keyword(s):  
Least Squares ◽  
Spectral Element Method ◽  
Eigenvalue Problems ◽  
Spectral Element ◽  
Elliptic Eigenvalue Problems ◽  
Element Method

scholarly journals CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS

2009 ◽  
Vol 19 (05) ◽  
pp. 721-747 ◽  
Author(s):  
EDUARDO M. GARAU ◽  
PEDRO MORIN ◽  
CARLOS ZUPPA
Keyword(s):  
Finite Element ◽  
Finite Elements ◽  
Finite Element Methods ◽  
Eigenvalue Problems ◽  
Second Order ◽  
Adaptive Finite Element ◽  
Adaptive Finite Element Methods ◽  
Multiple Eigenvalues ◽  
Elliptic Eigenvalue Problems

In this paper we prove convergence of adaptive finite element methods for second-order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple eigenvalues under a minimal refinement of marked elements, for all reasonable marking strategies, and starting from any initial triangulation.

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