Injectivity of boundary integral operator in direct-indirect mixed Burton–Miller equation for wave scattering problems with transmissive circular inclusion
Year: 2025
Type: article
Abstract: 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 transmission problems is identical to that for the ordinary BM BIE for Helmholtz transmission problems with a transmissive circular inclusion. Although some numerical methods based on the direct-indirect mixed BM BIE can be computed faster than the ordinary BM BIE, its well-posedness has been unclear. This study resolves a part of the well-posedness, namely the injectivity of the integral operator with a transmissive circular inclusion.
Source: JSIAM Letters
Authors: Yasuhiro Matsumoto, Kei Matsushima
Institutions: Institute of Science Tokyo, The University of Tokyo
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412745585