THE RESIDUAL-FREE BUBBLE NUMERICAL METHOD WITH QUADRATIC ELEMENTS

2004 ◽  
Vol 14 (05) ◽  
pp. 641-661 ◽  
Author(s):  
M. I. ASENSIO ◽  
A. RUSSO ◽  
G. SANGALLI
Keyword(s):  
Error Analysis ◽  
Numerical Method ◽  
A Priori ◽  
General Context ◽  
Practical Implementation ◽  
Linear Diffusion ◽  
Numerical Tests ◽  
A Priori Error Analysis ◽  
Reaction Problem

In this paper we analyze the Residual-Free Bubble (RFB) method applied to the linear diffusion–advection–reaction problem. We propose a new a priori error analysis for the method and for its practical implementation in a quite general context, which allows, e.g. linear or quadratic elements on the resolvable scales. We also perform some numerical tests, showing in both cases the advantages of the method.

scholarly journals A Priori Error Analysis and Spring Arithmetic

2009 ◽  
Vol 31 (3) ◽  
pp. 2214-2230 ◽  
Author(s):  
Gilles Chabert ◽  
Luc Jaulin
Keyword(s):  
Error Analysis ◽  
A Priori ◽  
A Priori Error Analysis

Time-discrete higher order ALE formulations: a priori error analysis

2013 ◽  
Vol 125 (2) ◽  
pp. 225-257 ◽  
Author(s):  
Andrea Bonito ◽  
Irene Kyza ◽  
Ricardo H. Nochetto
Keyword(s):  
Error Analysis ◽  
A Priori ◽  
Higher Order ◽  
A Priori Error Analysis

An a priori error analysis of an HDG method for an eddy current problem

2018 ◽  
Vol 41 (7) ◽  
pp. 2795-2810 ◽  
Author(s):  
Rommel Bustinza ◽  
Bibiana Lopez‐Rodriguez ◽  
Mauricio Osorio
Keyword(s):  
Error Analysis ◽  
Eddy Current ◽  
Current Problem ◽  
A Priori ◽  
A Priori Error Analysis ◽  
Eddy Current Problem
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