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math.NA2024
Embedded Trefftz DG framework for the analysis of discretizations with local-global decompositions
Philip L. Lederer, Christoph Lehrenfeld, Paul Stocker +1
This paper presents a framework for the analysis of discretization methods based on the decomposition into local and global problems. We apply the framework to provide a comprehens…
math.NA2024
High-order discretized ACMS method for the simulation of finite-size two-dimensional photonic crystals
Elena Giammatteo, Alexander Heinlein, Philip Lukas Lederer +1
The computational complexity and efficiency of the approximate mode component synthesis (ACMS) method is investigated for the two-dimensional heterogeneous Helmholtz equations, aim…