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math.AP2026
Well-posedness of the weakly singular Burton-Miller equation for Helmholtz transmission problems
Yasuhiro Matsumoto
Although various boundary integral formulations are available for the Helmholtz transmission problem, the weakly singular Burton-Miller (BM) equation is promising because it is wel…
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…