Publication: Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions
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Melenk, J. M., & Sauter, S. A. (2021). Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Foundations of Computational Mathematics, 21, 145–241. https://doi.org/10.1007/s10208-020-09452-1
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The time-harmonic Maxwell equations at high wavenumber k are discretized by edge elements of degree p on a mesh of width h. For the case of a ball as the computational domain and exact, transparent boundary conditions, we show quasi-optimality of the Galerkin method under the k-explicit scale resolution condition that (a) kh/p is sufficient small and (b) p/lnk is bounded from below.
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- Melenk, Jens Markus
- Sauter, Stefan A
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Melenk, J. M., & Sauter, S. A. (2021). Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Foundations of Computational Mathematics, 21, 145–241. https://doi.org/10.1007/s10208-020-09452-1
