Fourier Method with Nitsche-Mortaring for the Poisson Equation in 3D

Bernd Heinrich () and Beate Jung ()
Additional contact information
Bernd Heinrich: Technische Universität Chemnitz, Fakultät für Mathematik
Beate Jung: Technische Universität Chemnitz, Fakultät für Mathematik

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 467-474 from Springer

Abstract: Abstract The paper deals with a combination of the Nitsche-mortaring with the Fourier- finite-element method. The approach is applied to the Dirichlet problem of the Poisson equation in three-dimensional axisymmetric domains with nonaxisymmetric data. The approximating Fourier method yields a splitting of the 3D-problem into 2D-problems on the meridian plane treated by the Nitsche- finite-element method (as a mortar method). Some important properties of the approximation scheme as well as error estimates in some H 1-like norm as well as in the L 2-norm are derived.

Date: 2006
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:978-3-540-34288-5_42

Ordering information: This item can be ordered from
http://www.springer.com/9783540342885

DOI: 10.1007/978-3-540-34288-5_42

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 ().