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Conference paper

An introduction to reduced basis method for parametrized PDEs

Rozza, Gianluigi
  • Presented at: SIMAI, Italian Society for Applied and Industrial Mathematics, Rome, Italy, 15-19 September 2008
  • Published in: Applied and Industrial Mathematics in Italy, vol. III, p. 508-519. De Bernardis, Enrico ; Spiegler, Renato ; Valente, Vanda (eds.)
  • Series: Advances in Mathematics for Applied Sciences 82
  • Singapore: WorldScientific, 2009

We provide an introduction on reduced basis (RB) method for the solution of parameterized partial differential equations (PDEs). We introduce all the main ingredients to describe the methodology and the algorithms used to build the approximation spaces and the error bounds. We consider a model problem describing a steady potential flow around parametrized bodies and we provide some illustrative results.

Note: EPFL-IACS report 01.09, peer reviewed

Keywords: Reduced basis method ; parametrized PDEs ; Galerkin method ; error bounds ; potential flows

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Record created on 2009-06-14, modified on 2012-03-29

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