(formerly) R & D in Media Computing, Academic Center for Computing and Media Studies


Naoshi NISHIMURA, Professor, Dr. Eng. Education B.Eng.(1977), M.Eng.(1979), Dr.Eng.(1988), Kyoto Univ. in Civil Eng. Field of interest Applied Mechanics, Computational Mechanics, Boundary Integral Equation Method Major Courses Taught Engineering Mathematics B1, Numerical Analysis, Synthetic Complex Dynamical Systems B, Fundamentals of Complex Systems A


I. Applications of Integral Equation Method to Initial- Boundary Value Problems. Boundary Integral Equation Method (BIEM), also called Boundary Element Method (BEM), is one of the most promising methods of numerical analysis for initial- boundary value problems, and is applicable to a wide range of practical problems in engineering. This project aims at studying mathematical foundations as well as numcrical techniques for BIEM, and at applying this method to various problems of practical interest. Some basic problems such as mathematical principles, supercomputing algorithm and high accuracy numerical schemes are investigated. This project also includes studies on fast BIEM based on Fast Multipole Methods (FMM) and the use of wavelet basis. II. Studies on Non-Destructive Evaluation with Ultrasonics. This project investigates NDE techniques to detect cracks and cavities in materials using ultrasound. Particular attention is paid to laser techniques of measuring velocities on the surface of the specimen. This technique enables one to determine the waveform of the reflected waves from defects. The combined use of the experimental technique thus developed and the inverse analysis based on BIEM determines the location and the shape of defects. III. Studies on Inverse Problems. This project aims at developing numerical techniques related to nonlinear inverse problems of determining locations and shapes of unknown domains or boundaries from measurements. Some of main interests in this projects are (a) the computation of shape derivatives (b) effective algorithms for computing costs and their shape derivatives (c) efficient implementations of the inversion (d) applications to NDE.