LANS Informal Seminar: Phuong Huynh

Seminar Title: Reduced basis approximations and a posteriori error estimation: application to fracture analysis
Speaker: Phuong Huynh,

Date/Time: 2008-02-27 15:00
Location: Building 221, Room A-261

Description:
We develop reduced basis approximation and a posteriori error estimation for linear functional outputs of affinely parametrized elliptic partial differential equations. The essential ingredients are (primal-dual) Galerkin projection onto a low dimensional space associated with a smooth parametric manifold dimension reduction; efficient and effective greedy sampling methods for identification of optimal and numerically stable approximations rapid convergence; a posteriori error estimation procedures rigorous and sharp bounds for the linear functional outputs of interest; and Offline-Online computational decomposition strategies minimum marginal cost for high performance in the real-time/embedded (e.g., parameter estimation, control) and many-query (e.g., design optimization, multi-model/scale) contexts. We present illustrative results for several problems, with emphasis on stress intensity factor calculations in fracture mechanics.