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.Chapter 6 offers an overview of a number of more advanced developments and is intended more as an appetizer than as a solution manual. ... All of the main algorithmic elements are outlined by graphical boxes to assist the reader in his or her efforts to implement the ... G. Rozza, Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications, in CISM Lectures anbsp;...
|Title||:||Certified Reduced Basis Methods for Parametrized Partial Differential Equations|
|Author||:||Jan S Hesthaven, Gianluigi Rozza, Benjamin Stamm|
|Publisher||:||Springer - 2015-08-20|