Reduced Basis Approximation and A Posteriori Error Estimation for the Time- Dependent Viscous Burgers Equation

In this paper we present rigorous a posteriori L2 error bounds for reduced basis approximations of the unsteady viscous Burgers equation in one space dimension. The key new ingredient is accurate solution-dependent (Online) calculation of the exponential-in-time stability factor by the Successive Constraint Method. Numerical results indicate that the a posteriori error bounds are practicable for reasonably large times — many convective scales — and reasonably large Reynolds numbers — O(100) or larger. Work in progress (in collaboration with Dr Paul Fischer) considered the full unsteady incompressible Navier-Stokes equation.


Published in:
Calcolo, 46, 3, 157--185
Year:
2009
Keywords:
Note:
previously EPFL-IACS Report 10.2008
Laboratories:




 Record created 2008-06-18, last modified 2018-09-13

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