Convergence Analysis for the Iterated Defect Correction Scheme of Finite Element Methods on Rectangle Grids

2015 ◽  
Vol 33 (3) ◽  
pp. 297-306
Author(s):  
Youai Li
Keyword(s):  
Finite Element ◽  
Convergence Analysis ◽  
Finite Element Methods ◽  
Defect Correction ◽  
Correction Scheme ◽  
Iterated Defect Correction

Convergence analysis of a finite element method for second order non-variational elliptic problems

2017 ◽  
Vol 25 (3) ◽  
Author(s):  
Michael Neilan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Partial Differential Equations ◽  
Convergence Analysis ◽  
Finite Element Methods ◽  
Elliptic Partial Differential Equations ◽  
The Finite Element Method ◽  
Variational Form ◽  
The One ◽  
Element Method

AbstractWe introduce and analyze a family of finite element methods for elliptic partial differential equations in non-variational form with non-differentiable coefficients. The finite element method studied is a variant of the one recently proposed in [Lakkis & Pryer,

scholarly journals Convergence analysis of two finite element methods for the modified Maxwell's Steklov eigenvalue problem

2022 ◽  
Author(s):  
Bo Gong
Keyword(s):  
Finite Element ◽  
Eigenvalue Problem ◽  
Convergence Analysis ◽  
Finite Element Methods ◽  
Electromagnetic Scattering ◽  
Scattering Problems ◽  
Steklov Eigenvalue ◽  
Monotonic Convergence ◽  
Steklov Eigenvalue Problem

The modified Maxwell's Steklov eigenvalue problem is a new problem arising from the study of inverse electromagnetic scattering problems. In this paper, we investigate two finite element methods for this problem and perform the convergence analysis. Moreover,  the monotonic convergence of the discrete eigenvalues computed by one of the methods is analyzed.

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