activity
20162024
collaborators

5 papers

math.NA2024

The Galerkin method for a regularised combined field integral equation without a dual basis function

Kazuki Niino, Shunpei Yamamoto

We propose discretisation of a regularised combined field integral equation (regularised CFIE) only with the Rao-Wilton-Glisson (RWG) basis function. The CFIE is a formulation of i…

math.NA2021

Characteristic Basis Function Method Combined with Calderón Multiplicative Preconditioner for PMCHWT Formulation

Tai Tanaka, Kazuki Niino, Naoshi Nishimura

We propose a novel characteristic basis function method for analyzing the scattering by dielectric objects based on the Poggio-Miller-Chang-Harrington-Wu-Tsai formulation. In the p…

math.NA2019

Boundary integral equation methods for the two dimensional wave equation in time domain revisited

Mio Fukuhara, Ryota Misawa, Kazuki Niino +1

This study considers the stability of time domain BIEMs for the wave equation in 2D. We show that the stability of time domain BIEMs is reduced to a nonlinear eigenvalue problem re…

math.NA2016

Boundary integral equations for calculating complex eigenvalues of transmission problems

Ryota Misawa, Kazuki Niino, Naoshi Nishimura

Resonance frequencies are complex eigenvalues at which the homogeneous transmission problems have non-trivial solutions. These frequencies are of interest because they affect the b…

math.NA2016

A discretisation method with the inner product for electric field integral equations

Kazuki Niino, Sho Akagi, Naoshi Nishimura

A discretisation method with the inner product for the electric field integral equation~(EFIE) is proposed. The EFIE with the conventional Galerkin discretisation sho…