Reduced Basis Methods for Partial Differential Equations An Introduction
This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents...
| Main Authors: | , , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2016, 2016
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| Edition: | 1st ed. 2016 |
| Series: | La Matematica per il 3+2
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction
- 2 Representative problems: analysis and (high-fidelity) approximation
- 3 Getting parameters into play
- 4 RB method: basic principle, basic properties
- 5 Construction of reduced basis spaces
- 6 Algebraic and geometrical structure
- 7 RB method in actions
- 8 Extension to nonaffine problems
- 9 Extension to nonlinear problems
- 10 Reduction and control: a natural interplay
- 11 Further extensions
- 12 Appendix A Elements of functional analysis