5 papers
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…
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…
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…
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…
Linearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity
Yasuhiro Matsumoto, Taizo Maruyama
This paper proposes an fast direct solver for two-dimensional elastic wave scattering problems. The proxy surface method is extended to elastodynamics to obtain shared coeff…