| Title | Certified Reduced Basis Methods for Parametrized Partial Differential Equations |
| Publication Type | Book |
| Year of Publication | 2015 |
| Authors | Hesthaven, JS, Rozza, G, Stamm, B |
| Series Title | Springer Briefs in Mathematics |
| Number of Volumes | 1 |
| Edition | 1 |
| Number of Pages | 135 |
| Publisher | Springer |
| City | Switzerland |
| ISBN Number | 978-3-319-22469-5 |
| ISBN | 2191-8201 |
| Keywords | a 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 Designation | Refereed |
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