Reduced basis approximation for shape optimization in thermal flows with a parametrized polynomial geometric map

Reduced basis approximations for geometrically parametrized advection- diffusion equations are investigated. The parametric domains are assumed to be images of a reference domain through a piecewise polynomial map; this may lead to nonaffinely parametrized diffusion tensors that are treated with an empirical interpolation method. An a posteriori error bound including a correction term due to this approximation is given. Results concerning the applied methodology and the rigor of the corrected error estimator are shown for a shape optimization problem in a thermal flow.


Editor(s):
Ronquist, Einar
Hesthaven, Jan
Published in:
Spectral and High Order Methods for Partial Differential Equations, 76, 307-315
Presented at:
ICOSAHOM, Trondheim, Norway, 22-26 June, 2009
Year:
2010
Publisher:
Heildeberg, Springer
ISBN:
978-3-642-15336-5
Note:
EPFL MATHICSE report 02.2010
Laboratories:




 Record created 2010-02-18, last modified 2018-09-13

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