Pointwise Error Estimation for the One-Dimensional Transport Equation Based on the Variational Multiscale Method-Reference-Cited by-同舟云学术

Pointwise Error Estimation for the One-Dimensional Transport Equation Based on the Variational Multiscale Method

Published:2017-04-18 Issue:04 Volume:14 Page:1750040
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

Irisarri Diego¹^ORCID,Hauke Guillermo¹

Affiliation:

1. LIFTEC (CSIC)–Universidad de Zaragoza, Escuela de Ingeniería y Arquitectura, Área de Mecánica de Fluidos, C/María de Luna 3, 50018 Zaragoza, Spain

Abstract

This paper presents an exact pointwise error estimator applied to the transport equation. The error estimate, which is represented by a combination of residual-free bubble and Green’s functions, is computed by postprocessing the finite element solution. The fine or unresolved scales are analyzed applying the variational multiscale method. The technology can be applied to linear and high-order elements. Numerical examples are presented in which the satisfactory results corroborate the theoretical foundations.

Funder

Ministerio de Educación, Cultura y Deporte (ES)

Ministerio de Economía y Competitividad (ES)

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876217500402

Reference44 articles.

1. A Posteriori Error Estimation in Finite Element Analysis

2. Realistic computable error bounds for three dimensional finite element analyses in linear elasticity

3. An adaptive stabilized finite element scheme for the advection–reaction–diffusion equation

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