Skip to main content

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

Abstract

With target applications characterized by computationally intensive parametrized problems that require repeated evaluation, it is clear that we need to seek alternatives to simply solving the full problem many times. This is exactly where reduced models have its place and we are now ready to dive deeper into a discussion of central elements of the certified reduced basis method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 79.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. P. Binev, A. Cohen, W. Dahmen, R. DeVore, G. Petrova, P. Wojtaszczyk, Convergence rates for greedy algorithms in reduced basis methods. SIAM J. Math. Anal. 43, 1457–1472 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  2. R. DeVore, G. Petrova, P. Wojtaszczyk, Greedy algorithms for reduced bases in Banach spaces. Constr. Approx. 37, 455–466 (2013)

    Google Scholar 

  3. A. Buffa, Y. Maday, A.T. Patera, C. Prud’homme, G. Turinici, A priori convergence of the greedy algorithm for the parametrized reduced basis method. ESAIM Math. Model. Numer. Anal. 46, 595–603 (2012)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jan S. Hesthaven .

Rights and permissions

Reprints and permissions

Copyright information

© 2016 The Author(s)

About this chapter

Cite this chapter

Hesthaven, J.S., Rozza, G., Stamm, B. (2016). Reduced Basis Methods. In: Certified Reduced Basis Methods for Parametrized Partial Differential Equations. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-22470-1_3

Download citation

Publish with us

Policies and ethics