THE RESIDUAL-FREE BUBBLE NUMERICAL METHOD WITH QUADRATIC ELEMENTS-Reference-Cited by-同舟云学术

THE RESIDUAL-FREE BUBBLE NUMERICAL METHOD WITH QUADRATIC ELEMENTS

Published:2004-05 Issue:05 Volume:14 Page:641-661
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

ASENSIO M. I.¹,RUSSO A.²³,SANGALLI G.³

Affiliation:

1. Departamento de Matemática Aplicada, Universidad de Salamanca, Plaza de la Merced s/n, 37008 Salamanca, Spain

2. Dipartimento di Matematica e Applicazioni, Università degli Studi di Milano Bicocca, Via Bicocca degli Arcimboldi, 8, 20126 Milano, Italy

3. I.M.A.T.I.–C.N.R., Via Ferrata, 1, 27100 Pavia, Italy

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202504003398

Reference11 articles.

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