Summary
This is a progress report on our current work on hp-adaptive finite elements for Maxwell’s equations. I recall the main definitions [2], and show how the recent progress on the ftp interpolation error estimates [3] has led to a fully automatic ftp adaptivity based on the idea of minimizing the ftp-interpolation error for a reference solution corresponding to a globally ftp-refined grid [5]. Critical to the implementation of these ideas is a our new data structure for ftp discretizations [4], supporting anisotropic refinements, and the calculation of prolongation operator for multigrid operations.
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References
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Demkowicz, L. (2003). hp-Adaptive Finite Elements for Maxwell’s Equations. In: Monk, P., Carstensen, C., Funken, S., Hackbusch, W., Hoppe, R.H.W. (eds) Computational Electromagnetics. Lecture Notes in Computational Science and Engineering, vol 28. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55745-3_6
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DOI: https://doi.org/10.1007/978-3-642-55745-3_6
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