Abstract
A novel mass-lumping strategy for a mixed finite element approximation of Maxwell’s equations is proposed which on structured orthogonal grids coincides with the spatial discretization of the Yee scheme. The proposed method, however, generalizes naturally to unstructured grids and anisotropic materials and thus yields a natural variational extension of the Yee scheme for these situations.
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Acknowledgements
The authors are grateful for support by the German Research Foundation (DFG) via grants TRR 146, TRR 154, and Eg-331/1-1 and through grant GSC 233 of the “Excellence Initiative” of the German Federal and State Governments.
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Egger, H., Radu, B. (2020). A Mass-Lumped Mixed Finite Element Method for Maxwell’s Equations. In: Nicosia, G., Romano, V. (eds) Scientific Computing in Electrical Engineering. SCEE 2018. Mathematics in Industry(), vol 32. Springer, Cham. https://doi.org/10.1007/978-3-030-44101-2_2
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DOI: https://doi.org/10.1007/978-3-030-44101-2_2
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