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1.有限元外推技术主要完成单位:系统科学研究所 成都分院数理研究室等有限元方法是科学和工程计算中使用的简便方法,流行于国内外.此法通常要解复杂的方程组,不然难以确保计算的可靠性.本工作从理论上研究了剖分的最优性这个有限元中最关键的问题,使数学理论与方法能够恰到好处地刻划了剖分的最优指标,从而建立了有限元的外推技术.它可以大大减少方程组的数目,缩短了计算时间,提高了可靠性.外推技术摆脱了国外差分法的框架,建立一套外推新体系,将外推做到了高维边值问题,在国际上属首创.
1. Finite element extrapolation technology is mainly completed by: Institute of Systems Science Chengdu Branch Mathematical Laboratory and other finite element method is a simple method used in scientific and engineering calculations, popular at home and abroad.This method usually to solve complex equations, Otherwise it is difficult to ensure the reliability of calculation.This work theoretically studied the optimality of the subdivision of the finite element of the most critical issues that make the mathematical theory and methods can accurately characterize the optimal subdivision indicators to establish The finite element extrapolation technology can greatly reduce the number of equations, shorten the calculation time and improve the reliability.Extraction technology out of the framework of the foreign difference method, the establishment of a set of extrapolation system, extrapolation to do To the high-dimensional boundary value problem, is the first in the world.