3 papers
math.NA2024
Adaptive multiplication of -matrices with block-relative error control
Steffen Börm
The discretization of non-local operators, e.g., solution operators of partial differential equations or integral operators, leads to large densely populated matrices. $\mathcal{H}…
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
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…