2 papers
math.NA2026
An accelerated direct solver for scalar wave scattering by multiple transmissive inclusions in two dimensions
Yasuhiro Matsumoto
This paper discusses a fast direct solver using boundary integral equations for Helmholtz transmission problems involving multiple inclusions in two dimensions. Efficiently address…
math.AP2025
Injectivity of boundary integral operator in direct-indirect mixed Burton-Miller equation for wave scattering problems with transmissive circular inclusion
Yasuhiro Matsumoto, Kei Matsushima
This study proves that the injectivity condition for the integral operator of the direct-indirect mixed Burton-Miller (BM) boundary integral equation (BIE) for Helmholtz transmissi…