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Higher-order hybrid method for curl-conforming elements on tetrahedrons and bricks

Johan Winges (Institutionen för signaler och system, Signalbehandling) ; Thomas Rylander (Institutionen för signaler och system, Signalbehandling)
Electromagnetics in Advanced Applications (ICEAA), 2015 International Conference on 7-11 Sept. 2015, p. 1016 - 1019. (2015)
[Konferensbidrag, refereegranskat]

We present a brick-tetrahedron hybrid finite-element method with higher-order basis functions for solving electromagnetic field problems. For the brick-shaped elements, we use mass lumping for interpolatory basis-functions of incomplete order, which yields a diagonal mass-matrix. Hierarchical basis functions of incomplete and/or complete order are used for the tetrahedral elements. We enforce tangential continuity at the brick-tetrahedron interface in the weak sense. Our hybrid method correctly reproduces the lowest eigenvalues with correct multiplicity for a closed cavity-resonator. For tests in a rectangular waveguide, we demonstrate that the hybrid interface yields a low reflection coefficient.

Nyckelord: Computational electromagnetics, Finite element method, Higher-order, mass-lumping, hybrid grid

Denna post skapades 2015-12-18. Senast ändrad 2016-08-17.
CPL Pubid: 228679


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Institutioner (Chalmers)

Institutionen för signaler och system, Signalbehandling (1900-2017)


Tillämpad matematik

Chalmers infrastruktur

C3SE/SNIC (Chalmers Centre for Computational Science and Engineering)