3 papers
math.NA2026
A frequency-stable Nyström method for two-dimensional diffraction by periodic gratings at and near Wood anomalies
Kei Matsushima, Hiroshi Isakari
We propose and analyze a frequency-stable boundary integral equation method for scalar wave scattering by periodic diffraction gratings in two dimensions. The standard quasi-period…
math.NA2025
Point Jacobi-type preconditioning and parameter tuning for Calderon-preconditioned Burton-Miller method in transmission problems
Keigo Tomoyasu, Hiroshi Isakari
It was recently demonstrated that the boundary element method based on the Burton-Miller formulation (BM-BEM), widely used for solving exterior problems, can be adapted to solve tr…
math.NA2025
Automatically well-conditioned collocation boundary element method for transmission problems based on the Burton--Miller formulation
Yasuhiro Matsumoto, Akihiro Yoshiki, Hiroshi Isakari
This paper proposes a collocation boundary element method based on the Burton--Miller method for solving transmission problems, which is rapidly convergent within the Krylov subspa…