Efficient Equilibrated Flux Reconstruction in High Order Raviart-Thomas Space for Discontinuous Galerkin Methods

  • Igor MozolevskiEmail author
  • Edson Luiz Valmorbida
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 119)


We develop an efficient and computationally cheap method of equilibrated fluxes reconstruction for high-order dG solutions to elliptic problems using a specific computational basis in high order Raviart-Thomas space. The computational basis is designed in such a way that coordinates of equilibrated fluxes with respect to this basis can be easy calculated from the moments of the numerical fluxes of dG method. Some applications of this method in implementation of a posteriori error estimators for elliptic boundary value problems are considered.



The authors gratefully acknowledge the support by CNPq, Brazil, grant 477935/2013-3.


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Federal University of Santa CatarinaFlorianópolisBrazil
  2. 2.Federal University of Technology - ParanáParanáBrazil

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