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math.NA2023
Memory-efficient compression of -matrices for high-frequency problems
Steffen Börm, Janne Henningsen
Directional interpolation is a fast and efficient compression technique for high-frequency Helmholtz boundary integral equations, but it requires a very large amount of storage in…
math.NA2023
Adaptive multiplication of rank-structured matrices in linear complexity
Steffen Börm
Hierarchical matrices approximate a given matrix by a decomposition into low-rank submatrices that can be handled efficiently in factorized form. -matrices refine th…
math.NA2023
Computing Maxwell eigenmodes with Bloch boundary conditions
Steffen Börm, Ralf Köhl, Nahid Talebi
Our goal is to predict the band structure of photonic crystals. This task requires us to compute a number of the smallest non-zero eigenvalues of the time-harmonic Maxwell operator…