Mixed finite element approximation of eddy current problems

Alonso Rodriguez, Ana and Hiptmair, Ralf and Valli, Alberto (2003) Mixed finite element approximation of eddy current problems. UNSPECIFIED. (Unpublished)

Download (296Kb) | Preview


    Finite element approximations of eddy current problems that are entirely based on the magnetic field H are haunted by the need to enforce the algebraic constraint curlH = 0 in non-conducting regions. As an alternative to techniques employing combinatorial Seifert (cutting) surfaces in order to introduce a scalar magnetic potential, we propose mixed multi-field formulations, which enforce the constraint in the variational formulation. In light of the fact that the computation of cutting surfaces is expensive, the mixed finite element approximation is a viable option despite the increased number of unknowns.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QC Physics (General) > QC661 Electromagnetic Theory
    Uncontrolled Keywords: Maxwell model - memoryless linear materials - Ohm's law - electromagnetic fields
    Report Number: UTM 639, March 2003
    Repository staff approval on: 17 May 2005

    Actions (login required)

    View Item