Quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients

Friday, April 3, 2015 - 10:00 to 11:00
Thackeray Hall 321
Speaker Information
Hoang Anh Tran
Postdoctoral Fellow
Oak Ridge National Laboratory

Abstract or Additional Information

We present a generalized methodology for analyzing the convergence of quasi-optimal Taylor and Legendre approximations, applicable to a wide class of parameterized elliptic PDEs with both deterministic and stochastic inputs. Such approximations construct an index set that corresponds to the best M-terms based on sharp estimates of the polynomial coefficients. Several types of isotropic and anisotropic (weighted) multi-index sets are explored and computational evidence shows the advantage of our methodology compared to previously developed estimates.

Research Area