A FEM—BEM Formulation for a Time—Dependent Eddy Current Problem

S. Meddahi () and V. Selgas ()
Additional contact information
S. Meddahi: Universidad de Oviedo, Departamento de Matemáticas
V. Selgas: Universidad de Oviedo, Departamento de Matemáticas

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1155-1163 from Springer

Abstract: Abstract We study in this paper a time-dependent eddy current problem posed in the whole space. We propose a weak formulation that can be rewritten as a well-posed saddle point problem when the constraint satisfied by the magnetic field in the dielectric medium is handled by means of a Lagrange multiplier. Furthermore, we provide a BEM—FEM formulation of the problem that leads to a semi-discrete Galerkin scheme based on Nedelec’s and Raviart-Thomas finite elements. Finally, we analyze the asymptotic behavior of the error in terms of the mesh size parameter.

Keywords: Lagrange Multiplier; Layer Potential; Saddle Point Problem; Galerkin Scheme; Single Layer Potential (search for similar items in EconPapers)
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_116

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

DOI: 10.1007/978-3-540-34288-5_116

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 ().