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Hierarchical low-rank compression exploiting symmetric boundary integral equations in transmission scattering
Yasuhiro Matsumoto, Taizo Maruyama, Qianxiang Ma +1
We propose an approach using matrix symmetry to accelerate hierarchical low-rank compression for wave transmission scattering. For Helmholtz transmission problems, we introduce a s…
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…
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…
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…
Automatically well-conditioned collocation boundary element method for transmission problems based on the Burton--Miller formulation
Yasuhiro Matsumoto, Akihiro Yoshiki, Hiroshi Isakari
This paper proposes a collocation boundary element method based on the Burton--Miller method for solving transmission problems, which is rapidly convergent within the Krylov subspa…