Secure CheckoutPersonal information is secured with SSL technology.
Free ShippingFree global shipping
No minimum order.
A posteriori estimates for iteration methods.
A posteriori estimates for finite element approximations.
Foundations of duality theory.
Two-sided a posteriori estimates for linear elliptic problems.
A posteriori estimates for nonlinear variational problems.
A posteriori estimates for variational inequalities.
Bibliography. Notation. Index.
Recent decades have seen a very rapid success in developing numerical methods based on explicit control over approximation errors. It may be said that nowadays a new direction is forming in numerical analysis, the main goal of which is to develop methods ofreliable computations. In general, a reliable numerical method must solve two basic problems: (a) generate a sequence of approximations that converges to a solution and (b) verify the accuracy of these approximations. A computer code for such a method must consist of two respective blocks: solver and checker.
In this book, we are chiefly concerned with the problem (b) and try to present the main approaches developed for a posteriori error estimation in various problems.
The authors try to retain a rigorous mathematical style, however, proofs are constructive whenever possible and additional mathematical knowledge is presented when necessary. The book contains a number of new mathematical results and lists a posteriori error estimation methods that have been developed in the very recent time.
· computable bounds of approximation errors · checking algorithms · iteration processes · finite element methods · elliptic type problems · nonlinear variational problems · variational inequalities
Mathematical modellers, civil engineers, computer scientists, mathematical economists and mathematical biologists.
- No. of pages:
- © Elsevier Science 2004
- 25th July 2004
- Elsevier Science
- Hardcover ISBN:
- eBook ISBN:
University of Jyväskylä, Finland
V.A. Steklov Institute of Mathematics, St. Petersburg, Russian Federation
Elsevier.com visitor survey
We are always looking for ways to improve customer experience on Elsevier.com.
We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit.
If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.
Thanks in advance for your time.