A posteriori error estimates of the Morley element for the fourth order elliptic eigenvalue problem

2014 ◽  
Vol 68 (3) ◽  
pp. 455-466 ◽  
Author(s):  
Quan Shen
Keyword(s):  
Eigenvalue Problem ◽  
Error Estimates ◽  
Fourth Order ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Elliptic Eigenvalue Problem ◽  
Morley Element

A Posteriori Error Estimates for Maxwell’s Eigenvalue Problem

2018 ◽  
Vol 78 (2) ◽  
pp. 1250-1271 ◽  
Author(s):  
Daniele Boffi ◽  
Lucia Gastaldi ◽  
Rodolfo Rodríguez ◽  
Ivana Šebestová
Keyword(s):  
Eigenvalue Problem ◽  
Error Estimates ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
A Posteriori ◽  
A Posteriori Error

scholarly journals A Type of Multigrid Method Based on the Fixed-Shift Inverse Iteration for the Steklov Eigenvalue Problem

2016 ◽  
Vol 2016 ◽  
pp. 1-13
Author(s):  
Feiyan Li ◽  
Hai Bi
Keyword(s):  
Eigenvalue Problem ◽  
Error Estimates ◽  
A Priori ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
Inverse Iteration ◽  
A Posteriori ◽  
A Posteriori Error ◽  
Steklov Eigenvalue ◽  
Steklov Eigenvalue Problem

For the Steklov eigenvalue problem, we establish a type of multigrid discretizations based on the fixed-shift inverse iteration and study in depth its a priori/a posteriori error estimates. In addition, we also propose an adaptive algorithm on the basis of the a posteriori error estimates. Finally, we present some numerical examples to validate the efficiency of our method.

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