activity
20232026
most citedLinearly scalable fast direct solver based on proxy surface method for two-dimensional elastic wave scattering by cavity

1 citations · 1 across the 8 of their papers we have counts for

collaborators

9 papers

math.NA2026

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…

math.NA2026

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…

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.NA2026

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…

math.NA2025

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…

math.NA2025

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…

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…

math.NA2024★ 1 cited

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…

math.NA2023

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…