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

• Presented at: ICOSAHOM, Trondheim, Norway, 22-26 June, 2009
• Published in: Spectral and High Order Methods for Partial Differential Equations, vol. 76, p. 307-315. Ronquist, Einar ; Hesthaven, Jan (eds.)
• Series: Lecture Notes in Computational Science and Engineering 76
• Heildeberg : Springer, 2010

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.

Note: EPFL MATHICSE report 02.2010

Reference

• CMCS-CONF-2010-001
• doi:10.1007/978-3-642-15337-2_28

Record created on 2010-02-18, modified on 2012-03-29