An a priori error estimate for the finite element modelling of electromagnetic waves interacting with a periodic diffraction grating

2012 ◽  
Vol 36 (10) ◽  
pp. 1187-1205
Author(s):  
N.H. Lord ◽  
A.J. Mulholland
Keyword(s):  
Finite Element ◽  
Error Estimate ◽  
Diffraction Grating ◽  
Finite Element Modelling ◽  
Electromagnetic Waves ◽  
A Priori ◽  
Element Modelling ◽  
A Priori Error Estimate

A Simple Equilibrium Finite Element over Quadrilaterals

2006 ◽  
Vol 6 (4) ◽  
pp. 349-353
Author(s):  
A. Agouzal
Keyword(s):  
Finite Element ◽  
Error Estimate ◽  
A Priori ◽  
A Priori Error Estimate

AbstractIn this paper a simple equilibrium finite element on quadrilaterals is introduced and analysed. An optimal a priori error estimate has been obtained for arbitrary regular quadrilaterals.

A Study on the Galerkin Least-Squares Method for the Oldroyd-B Model

2018 ◽  
Vol 18 (2) ◽  
pp. 181-198
Author(s):  
Tsu-Fen Chen ◽  
Hyesuk Lee ◽  
Chia-Chen Liu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Error Estimate ◽  
Least Squares ◽  
Viscoelastic Fluid ◽  
Least Squares Method ◽  
A Priori ◽  
Fluid Flows ◽  
Planar Channel ◽  
A Priori Error Estimate

AbstractWe consider a reduced Galerkin least-squares finite element method for the Oldroyd-B model of viscoelastic fluid flows. Model problems considered are the flow past a planar channel and a 4-to-1 contraction problems. An a priori error estimate for the reduced Galerkin least-squares method is derived and numerical results supporting the estimate are presented.

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