A Laplace transform certified reduced basis method; application to the heat equation and wave equation

作者：Huynh D B Phuong^*; Knezevic David J; Patera Anthony T

来源：Comptes Rendus Mathematique, 2011, 349(7-8): 401-405.

DOI：10.1016/j.crma.2011.02.003

We present a certified reduced basis (RB) method for the heat equation and wave equation. The critical ingredients are certified RB approximation of the Laplace transform; the inverse Laplace transform to develop the time-domain RB output approximation and rigorous error bound; a (Butterworth) filter in time to effect the necessary "modal" truncation; RB eigenfunction decomposition and contour integration for Offline-Online decomposition. We present numerical results to demonstrate the accuracy and efficiency of the approach.

• 出版日期2011-4