8 papers
Proxy-surface-based fast direct solver for TE-mode scattering problems on distributed memory systems
Yasuhiro Matsumoto, Rio Yokota
This paper describes an MPI/OpenMP hybrid parallelized fast direct solver for the scattering problem of transverse electric (TE)-mode electromagnetic waves. Because TE-mode scatter…
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…
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…
A fast direct solver for two-dimensional transmission problems of elastic waves
Yasuhiro Matsumoto, Taizo Maruyama
This paper describes a fast direct boundary element method for elastodynamic transmission problems in two dimensions, which can be used for analyzing elastic wave scattering by an…
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…
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…