50 citations · 57 across the 4 of their papers we have counts for
4 papers
FFT-accelerated computation of the Dirichlet-to-Neumann map for inhomogeneous exterior Helmholtz problems using the method of fundamental solutions
Takemi Shigeta
An efficient numerical method is proposed for computing the Dirichlet-to-Neumann (DtN) map associated with the exterior Dirichlet problem for the two-dimensional Helmholtz equation…
Mathematical and Numerical Studies on Meshless Methods for Exterior Unbounded Domain Problems
Takemi Shigeta, D. L. Young
The method of fundamental solution (MFS) is an efficient meshless method for solving a boundary value problem in an exterior unbounded domain. The numerical solution obtained by th…
Method of Fundamental Solutions with Optimal Regularization Techniques for the Cauchy Problem of the Laplace Equation with Singular Points
Takemi Shigeta, D. L. Young
The purpose of this study is to propose a high-accuracy and fast numerical method for the Cauchy problem of the Laplace equation. Our problem is directly discretized by the method…
Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method
Takemi Shigeta
The purpose of this study is to show some mathematical aspects of the adjoint method that is a numerical method for the Cauchy problem, an inverse boundary value problem. The adjoi…