Japan Society for the Promotion of Science:Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)
Date (from‐to) : 2003 -2005
Author : KANAYAMA Hiroshi; FUJINO Seiji; SUZUKI Atsushi; TAGAMI Daisuke; OGINO Masao
A.Numerical computations of large scale magnetic problems by finite element method:
First, we have developed computational codes for time-harmonic eddy current problems and nonlinear magnetostatic problems. To make the codes efficient, then we have considered the reduction of their computational costs, and the enhancement of applicable problems, for example, a permanent magnet or a moving obstacle.
B.Numerical solver for linear systems with symmetric coefficient matrices:
We have considered the convergence of MRTR method based on the minimization of residuals. Moreover, we have developed several precondisioners, which come from robust incomplete Cholesky factorization, and have shown their efficiency by appling to some real problems.
C.Application of a substracturing method to discretized Stokes equations:
We have established a coarse space of a balancing precondisioner for applying to discretized Stokes equations.
D.Error estimates of finite element methods for thermal convection problems:
We have established error estimates of a class of finite element methods for thermal convection problems with variable coefficients.
E.Realization of highly efficient BDD methods for large scale structural analysis:
We have developed incomplete BDD methods, improved its parallel efficiency, and realized nonstationary structural analysis with about 10 million DOF problems.