A posteriori global error estimator based on the error in the constitutive relation for reduced basis approximation of parametrized linear elastic problems-Reference-Cited by-同舟云学术

A posteriori global error estimator based on the error in the constitutive relation for reduced basis approximation of parametrized linear elastic problems

Published:2016-04 Issue:7-8 Volume:40 Page:4271-4284
ISSN:0307-904X
Container-title:Applied Mathematical Modelling
language:en
Short-container-title:Applied Mathematical Modelling

Author:

Gallimard L.,Ryckelynck D.

Publisher

Elsevier BV

Subject

Applied Mathematics,Modelling and Simulation

Reference24 articles.

1. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations;Rozza;Arch. Comput. Methods Eng.,2008

2. Reduced basis method for linear elasticity problems with many parameters;Milani;Comput. Methods Appl. Mech. Eng.,2008

3. Reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable robin coefficient;Boyaval;Comput. Methods Appl. Mech. Eng.,2009

4. A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids;Ammar;J. Non-Newton. Fluid Mech.,2006

5. Proper orthogonal decomposition for reduced basis feedback controllers for parabolic equations;Artwell;Math. Comput. Model.,2001

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