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20162026
most citedA level-set-based topology optimisation for acoustic-elastic coupled problems with a fast BEM-FEM solver

52 citations · 65 across the 11 of their papers we have counts for

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11 papers · 1 filter

math.NA2026

A frequency-stable Nyström method for two-dimensional diffraction by periodic gratings at and near Wood anomalies

Kei Matsushima, Hiroshi Isakari

We propose and analyze a frequency-stable boundary integral equation method for scalar wave scattering by periodic diffraction gratings in two dimensions. The standard quasi-period…

math.NA2025

Point Jacobi-type preconditioning and parameter tuning for Calderon-preconditioned Burton-Miller method in transmission problems

Keigo Tomoyasu, Hiroshi Isakari

It was recently demonstrated that the boundary element method based on the Burton-Miller formulation (BM-BEM), widely used for solving exterior problems, can be adapted to solve tr…

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…

math.NA2023★ 2 cited

A Burton-Miller-type boundary element method based on a hybrid integral representation and its application to cavity scattering

Riku Toshimitsu, Hiroshi Isakari

This study builds on a recent paper by Lai et al [Appl. Comput. Harmon. Anal., 2018] in which a novel boundary integral formulation is presented for scalar wave scattering analysis…

math.NA2023

BEM-based fast frequency sweep for acoustic scattering by periodic slab

Yuta Honshuku, Hiroshi Isakari

This paper presents a boundary element method (BEM) for computing the energy transmittance of a singly-periodic grating in 2D for a wide frequency band, which is of engineering int…

math.NA2022★ 3 cited

A topology optimization of open acoustic waveguides based on a scattering matrix method

Kei Matsushima, Hiroshi Isakari, Toru Takahashi +1

This study presents a topology optimization scheme for realizing a bound state in the continuum along an open acoustic waveguide comprising a periodic array of elastic materials. F…

math.NA2021★ 6 cited

A topology optimisation of acoustic devices based on the frequency response estimation with the Padé approximation

Yuta Honshuku, Hiroshi Isakari

We propose a topology optimisation of acoustic devices that work in a certain bandwidth. To achieve this, we define the objective function as the frequency-averaged sound intensity…

math.NA2021★ 2 cited

A shape optimisation with the isogeometric boundary element method and adjoint variable method for the three-dimensional Helmholtz equation

Toru Takahashi, Daisuke Sato, Hiroshi Isakari +1

This paper presents a shape optimisation system to design the shape of an acoustically-hard object in the three-dimensional open space. Boundary element method (BEM) is suitable to…

math.NA2021

An isogeometric boundary element method for three-dimensional doubly-periodic layered structures in electromagnetics

Toru Takahashi, Tetsuro Hirai, Hiroshi Isakari +1

This paper proposes an isogeometric boundary element method (IGBEM) to solve the electromagnetic scattering problems for three-dimensional doubly-periodic multi-layered structures.…

math.NA2016

A fast topology optimisation for material- and geometry-independent cloaking devices with the BEM and the -matrix method

Kenta Nakamoto, Hiroshi Isakari, Toru Takahashi +1

We show a design method of cloaking devices which work for target objects with arbitrary shape and material by a topology optimisation with an accurate and efficient sensitivity an…

math.NA2016★ 52 cited

A level-set-based topology optimisation for acoustic-elastic coupled problems with a fast BEM-FEM solver

Hiroshi Isakari, Toyohiro Kondo, Toru Takahashi +1

This paper presents a structural optimisation method in three-dimensional acoustic-elastic coupled problems. The proposed optimisation method finds an optimal allocation of elastic…