Goal-Oriented A Posteriori Error Estimation for Multiple Target Functionals

Ralf Hartmann () and Paul Houston ()
Additional contact information
Ralf Hartmann: University of Heidelberg, Institute of Applied Mathematics
Paul Houston: University of Leicester, Department of Mathematics & Computer Science

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2003, pp 579-588 from Springer

Abstract: Abstract In many applications the quantities of interest are a series of target functionals of the solution to the governing system of partial differential equations rather than the solution itself. For example, in the field of aerodynamics, examples include the drag and lift coefficients of an airfoil immersed into a fluid, the pressure difference between the leading and trailing edges of the airfoil and point evaluations of the density or pressure on the profile of the airfoil. While traditionally these quantities are measured in wind tunnel experiments, nowadays these experiments are increasingly replaced by numerical simulations aiming to predict these quantities to a high level of accuracy.

Keywords: Dual Problem; Error Equation; Posteriori Error; Dual Solution; Posteriori Error Estimation (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55711-8_54

Ordering information: This item can be ordered from
http://www.springer.com/9783642557118

DOI: 10.1007/978-3-642-55711-8_54

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().