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Computable exact bounds for linear outputs from stabilized solutions of the advection-diffusion-reaction equation

  • Published:2012-09-18 Issue:5 Volume:93 Page:483-509
  • ISSN:0029-5981
  • Container-title:International Journal for Numerical Methods in Engineering
  • language:en
  • Short-container-title:Int. J. Numer. Meth. Engng

Author:

Parés Núria1,Díez Pedro1,Huerta Antonio1

Affiliation:

1. Laboratori de Càlcul Numèric (LaCàN); Universitat Politècnica de Catalunya; Barcelona Spain

Funder

Ministerio de Educación y Ciencia

Generalitat de Catalunya AGAUR

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference28 articles.

1. Computing bounds for linear functionals of exact weak solutions to Poisson's equation;Sauer-Budge;SIAM Journal on Numerical Analysis,2004

2. The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations;Parés;Computer Methods in Applied Mechanics and Engineering,2006

3. Computing upper and lower bounds for the J-integral in two-dimensional linear elasticity;Xuan;Computer Methods in Applied Mechanics and Engineering,2006

4. Bounds of functional outputs for parabolic problems. Part II. Bounds of the exact solution;Parés;Computer Methods in Applied Mechanics and Engineering,2008

5. Calculation of strict error bounds for finite element approximations of non-linear pointwise quantities of interest;Ladevèze;International Journal for Numerical Methods in Engineering,2010

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