Goal-oriented a posteriori error estimation for compressible fluid flows

R. Hartmann and P. Houston
Additional contact information
R. Hartmann: University of Heidelberg, Institute of Applied Mathematics
P. Houston: University of Leicester, Department of Mathematics and Computer Science

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 775-784 from Springer

Abstract: Summary We consider the so-called “goal-oriented” a posteriori error estimation for discontinuous Galerkin finite element approximations to the compressible Euler equations of gas dynamics. By employing a hyperbolic duality argument, we derive weighted, or Type I, a posteriori error estimates which bound the error measured in terms of certain target functionals of real or physical interest. The practical advantages of this general approach are illustrated by a series of numerical experiments.

Keywords: Posteriori Error; Posteriori Error Estimation; Error Indicator; Posteriori Estimate; Target Functional (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:978-88-470-2089-4_70

Ordering information: This item can be ordered from
http://www.springer.com/9788847020894

DOI: 10.1007/978-88-470-2089-4_70

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 ().