Higher-order hybrid method for curl-conforming elements on tetrahedrons and bricks
Paper in proceedings, 2015

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.

hybrid grid

mass-lumping

Computational electromagnetics

Higher-order

Finite element method

Author

JOHAN WINGES

Chalmers, Signals and Systems, Signalbehandling och medicinsk teknik, Signal Processing

Thomas Rylander

Chalmers, Signals and Systems, Signalbehandling och medicinsk teknik, Signal Processing

Electromagnetics in Advanced Applications (ICEAA), 2015 International Conference on

7-11 Sept. 2015 1016 - 1019 7297268

Subject Categories

Computational Mathematics

Other Electrical Engineering, Electronic Engineering, Information Engineering

Roots

Basic sciences

Infrastructure

C3SE (Chalmers Centre for Computational Science and Engineering)

DOI

10.1109/ICEAA.2015.7297268

ISBN

978-147997806-9

More information

Created

10/7/2017