Adaptive Reduced Basis Methods for Nonlinear Convection–Diffusion Equations

Author:

Drohmann Martin,Haasdonk Bernard,Ohlberger Mario

Publisher

Springer Berlin Heidelberg

Reference7 articles.

1. Barrault, M., Maday, Y., Nguyen, N., Patera, A.: An ’empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations. C. R. Math. Acad. Sci. Paris Series I 339, 667–672 (2004)

2. Drohmann, M., Haasdonk, B., Ohlberger, M.: Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation. Tech. rep., FB10, University of Münster (2010)

3. Eftang, J.L., Patera, A.T., Rønquist, E.M.: An hp Certified Reduced Basis Method for Parametrized Parabolic Partial Differential Equations. Technical report, MIT, Cambridge, 2009. Submitted to SISC

4. Haasdonk, B. and Ohlberger, M.: Reduced basis method for finite volume approximations of parametrized evolution equations. M2AN Math. Model. Numer. Anal., 42(2):277-302 (2008)

5. Haasdonk, B., Dihlmann, M., Ohlberger, M.: A training set and multiple bases generation approach for parametrized model reduction based on adaptive grids in parameter space. Tech. rep., University of Stuttgart (submitted) (2010)

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