Computation Mechanics and Domain Decompsition Methods

在项目期间（三年）取得了许多成果。重要结果如下：1。计算力学数值模拟的发展。一种新的快速数值计算方法。高斯消去包使用PVM和并行计算。无限精度的数值模拟。新的前置条件方法。数值积分分析。混凝土材料的细观模拟。非线性问题的应用与数值分析。相分离系统的分析。使用豪斯多夫度量进行误差估计。地幔对流的有限元方法规范。反应扩散系统分析。具有摩擦型边界条件的Navier-Stokes方程。自由边界问题的数值方法。金兹堡-朗道方程的分析。几种流体力学的数值模拟。两相流。n - s流动。

In the term of the project (three years) many results are obtained. Important results are shown as follows.1. Development of numerical simulation for computation mechanics. New method of a fast numerical computation. Gauss elimination package using PVM and paralel computaions. Numerical simulation in Infinite precisions. New pre-condition methods. Analysis of numerical integrations. Mesoscopic simulation of concrete materials.2. Applied and numerical analysis of nonlinear problems. Analysis of the system of phase separations. Error estimates using Hausdorff metric. Code of finite element methods for mandtle convections. Analysis of reaction-diffusion systems. Navier-Stokes equations with friction type boundary conditions. Numerical methods for free boundary problems. Analysis of Ginzburg-Landau equation.3. Numerical simulations of several fluid dynamics. Two-phase flows. Navier-Stokes flows.