Free Access
Issue
ESAIM: M2AN
Volume 47, Number 1, January-February 2013
Page(s) 213 - 251
DOI https://doi.org/10.1051/m2an/2012022
Published online 23 November 2012
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  5. P. Binev, A. Cohen, W. Dahmen, R. DeVore, G. Petrova and P. Wojtaszczyk, Convergence rates for greedy algorithms in reduced basis methods. Technical Report, Aachen Institute for Advanced Study in Computational Engineering Science, preprint : AICES-2010/05-2 (2010).
  6. F. Bourquin, Component mode synthesis and eigenvalues of second order operators : discretization and algorithm. ESAIM : M2AN 26 (1992) 385–423.
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  9. Y. Chen, J.S. Hesthaven and Y. Maday, A Seamless Reduced Basis Element Methods for 2D Maxwell’s Problem : An Introduction, edited by J. Hesthaven and E.M. Rønquist, in Spectral and High Order Methods for Partial Differential Equations-Selected papers from the ICASOHOM’09 Conference 76 (2011).
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  12. M. Ganesh, J.S. Hesthaven and B. Stamm, A reduced basis method for multiple electromagnetic scattering in three dimensions. Technical Report 2011-9, Scientific Computing Group, Brown University, Providence, RI, USA (2011).
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  18. D.B.P. Huynh, G. Rozza, S. Sen and A.T. Patera, A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants. C. R. Math. 345 (2007) 473–478. [CrossRef] [MathSciNet]
  19. L. Iapichino, Quarteroni and G.A., Rozza, A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks. Comput. Methods Appl. Mech. Eng. 221-222 (2012) 63–82. [CrossRef]
  20. H. Jakobsson, F. Beingzon and M.G. Larson, Adaptive component mode synthesis in linear elasticity. Int. J. Numer. Methods Eng. 86 (2011) 829–844. [CrossRef]
  21. S. Kaulmann, M. Ohlberger and B. Haasdonk, A new local reduced basis discontinuous galerkin approach for heterogeneous multiscale problems. C. R. Math. 349 (2011) 1233–1238. [CrossRef] [MathSciNet]
  22. B.S. Kirk, J.W. Peterson, R.H. Stogner and G.F. Carey, libMesh : A C++ library for Parallel adaptive mesh refinement/coarsening simulations. Eng. Comput. 22 (2006) 237–254. [CrossRef]
  23. D.J. Knezevic and J.W. Peterson, A high-performance parallel implementation of the certified reduced basis method. Comput. Methods Appl. Mech. Eng. 200 (2011) 1455–1466. [CrossRef]
  24. Y Maday and EM Rønquist, The reduced basis element method : Application to a thermal fin problem. SIAM J. Sci. Comput. 26 (2004) 240–258. [CrossRef] [MathSciNet]
  25. Y. Maday, A.T. Patera and G. Turinici, A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. J. Sci. Comput. 17 (2002) 437–446. [CrossRef] [MathSciNet]
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  27. C. Prud’homme, D. Rovas, K. Veroy, Y. Maday, A.T. Patera and G. Turinici, Reliable real-time solution of parametrized partial differential equations : Reduced-basis output bounds methods. J. Fluids Eng. 124 (2002) 70–80. [CrossRef]
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