Wavelets in Numerical Simulation
Problem Adapted Construction and Applications
182 pages, parution le 29/04/2002
Résumé
This research monograph addresses recent developments of
wavelet concepts in the context of large scale numerical
simulation. It offers a systematic attempt to exploit the
sophistication of wavelets as a numerical tool by adapting
wavelet bases to the problem at hand. This includes both
the construction of wavelets on fairly general domains and
the adaptation of wavelet bases to the particular structure
of function spaces governing certain variational problems.
Those key features of wavelets that make them a powerful
tool in numerical analysis and simulation are clearly
pointed out. The particular constructions are guided by the
ultimate goal to ensure the key features also for general
domains and problem classes. All constructions are
illustrated by figures and examples are given.
Contents
- Wavelet Bases
-
- Wavelet Bases in L2(Ω)
- Wavelets on the Real Line
- Wavelet on the Interval
- Tensor Product Wavelets
- Wavelets on General Domains
- Vector Wavelets
- Wavelet Bases for H(div) and H(curl)
-
- Differentiation and Integration
- The Spaces H(div) and H(curl)
- Wavelet System for H(curl)
- Wavelet Bases for H(div)
- Helmholtz and Hodge Decompositions
- General Domains
- Examples
- Applications
-
- Robust and Optimal Preconditioning
- Analysis and simulation of Turbulent Flows
- Hardening of an Elastoplastic Rod
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Karsten Urban |
| Parution | 29/04/2002 |
| Nb. de pages | 182 |
| Format | 15,5 x 23,5 |
| Couverture | Broché |
| Poids | 335g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540430551 |
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