2 papers
math.NA2025
Efficient LU factorization exploiting direct-indirect Burton-Miller equation for Helmholtz transmission problems
Yasuhiro Matsumoto, Kei Matsushima
This paper proposes a direct-indirect mixed Burton-Miller boundary integral equation for solving Helmholtz scattering problems with transmissive scatterers. The proposed formulatio…
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…