A Deluxe FETI-DP Method for Full DG Discretization of Elliptic Problems

  • Maksymilian Dryja
  • Juan GalvisEmail author
  • Marcus Sarkis
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 104)


In this paper we consider a boundary value problem for elliptic second order partial differential equations with highly discontinuous coefficients in a 2D polygonal region Ω. The problem is discretized by a (full) DG method on triangular elements using the space of piecewise linear functions. The goal of this paper is to study a special version of FETI-DP preconditioner, called deluxe, for the resulting discrete system of this discretization. The deluxe version for continuous FE discretization is considered in [1], for standard FETI-DP methods for composite DG method, see [4], for full DG, see [4], and for conforming FEM, see the book [5].



The authors thank the anonymous referee for his suggestions that helped to improve the paper.

This research was supported in part by the Polish Sciences Foundation under grant 2011/01/B/ST1/01179 (Maksymilian Dryja).


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Maksymilian Dryja
    • 1
  • Juan Galvis
    • 2
    Email author
  • Marcus Sarkis
    • 3
    • 4
  1. 1.Department of MathematicsWarsaw UniversityWarsawPoland
  2. 2.Departamento de MatemáticasUniversidad Nacional de ColombiaBogotáColombia
  3. 3.Instituto Nacional de Matemática Pura e Aplicada (IMPA)Estrada Dona Castorina 110Rio de JaneiroBrazil
  4. 4.Department of Mathematical Sciences at Worcester Polytechnic InstituteWorcesterUSA

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