Toshikazu Torigaki

Adaptive finite element methods for shape optimization of linearly elastic structures

In this paper the application of adaptive grid methods with automatic remeshing schemes is discussed to solve shape optimization problems of linearly elastic structures.

Appropriate remeshing for finite element impact analysis with consideration of error and computing efficiency

Abstract Remeshing for finite element impact analysis is discussed to perform an accurate and efficient computation. A nodal relocation scheme is implemented for remeshing based on the following considerations: (1) spatial discretization error of the solution, (2) approximation error of a deformable domain on curved boundaries, (3) stability condition of a time integration scheme. Although the first error is widely known, the second error is new and very important to an impact analysis specially if there exists a large stretching deformation on curved boundaries. To raise the computing efficiency, a stability condition is taken into account. The presented scheme is carefully examined by solving several example problems.

Recent Development of Finite Element Methods in the High-Speed Computing Environment

We shall review how finite element methods have been developed and what subjects researchers in the United States are studying at present in the high-speed computing environment.