A discontinuous Galerkin reduced basis element method for elliptic problems

Author:

Antonietti Paola F.,Pacciarini Paolo,Quarteroni Alfio

Publisher

EDP Sciences

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis,Analysis,Computational Mathematics

Reference38 articles.

1. F. Albrecht, B. Haasdonk, S. Kaulmann and M. Ohlberger, The localized reduced basis multiscale method. In vol. 1 ofAlgoritmy 2012−Proc. of contributed papers and posters, edited by A. Handlovičová, Z. Minarechová and D. Devčovič. Publishing House of STU (2012) 393–403.

2. Antonietti P.F. and Ayuso B., Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: Non-overlapping case.ESAIM: M2AN41(2007) 21–54.

3. Antonietti P.F. and Houston P., A class of domain decomposition preconditioners for hp-discontinuous Galerkin finite element methods.J. Sci. Comput.46(2011) 124–149.

4. Antonietti P.F., Giani S. and Houston P., Domain decomposition preconditioners for discontinuous Galerkin methods for elliptic problems on complicated domains.J. Sci. Comput.60(2014) 203–227.

5. P.F. Antonietti, A. Manzoni, P Pacciarini and A. Quarteroni, A posteriori error control for discontinuous Galerkin reduced basis element approximations of parametrized elliptic pdes. In preparation (2016).

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