Oberseminar "Aktuelle Themen der Numerik"
Donnerstag, 06.02.2014, 14.00 Uhr
RB method for Nonlinear Evolutionary Diffusion Equations
Mohammad Rasty (IGPM, RWTH Aachen)
We present reduced basis approximation and associated "a posteriori" error estimation procedure for a steady-state and a time-dependent quadratically nonlinear diffusion equation. Certified reduced basis method has been developed previously for a large class of linear and nonlinear parametrized partial differential equations. Here we extend the methodology to treat quadratically nonlinear diffusion equations with two essential ingredients:
(i) using the BRR framework to derive a sharp and rigorous "a posteriori" error bound,
(ii) employing the successive constraints method to efficiently calculate a lower bound for the solution-dependent inf-sup stability constant, while preserving the efficient offline-online computational procedure.
Zeit: 14:00 Uhr
Ort: Raum 149, Hauptgebäude, RWTH Aachen, Templergraben 55, 52056 Aachen