MENU

You are here

Certified Reduced Basis Methods for Parametrized Partial Differential Equations

TitleCertified Reduced Basis Methods for Parametrized Partial Differential Equations
Publication TypeBook
Year of Publication2015
AuthorsHesthaven, JS, Rozza, G, Stamm, B
Series TitleSpringer Briefs in Mathematics
Number of Volumes1
Edition1
Number of Pages135
PublisherSpringer
CitySwitzerland
ISBN Number978-3-319-22469-5
ISBN2191-8201
Keywordsa posteriori error bounds; empirical interpolation; parametrized partial differential equations; reduced basis methods, greedy algorithms
Abstract

This book provides a thorough introduction to the mathematical and algorithmic aspects of certified reduced basis methods for parametrized partial differential equations. Central aspects ranging from model construction, error estimation and computational efficiency to empirical interpolation methods are discussed in detail for coercive problems. More advanced aspects associated with time-dependent problems, non-compliant and non-coercive problems and applications with geometric variation are also discussed as examples.

Refereed DesignationRefereed

Sign in