摘要
基于科学计算工具箱PETSc提供的应用开发平台,针对单机多核计算机开发出一种线性并行求解器。用C++类的形式封装求解线性有限元问题必需的数据和操作,并行使用迭代法求解线性有限元问题。算例测试结果表明,在内存为3G的四核计算机上可以计算节点数达80万的三维线性有限元问题;在运行2个进程计算时加速比达到1.81,4个进程计算时为3.24;求解器对于病态方程组有良好的适应能力;对于材料弹性模量相差10万倍的有限元模型,迭代也能收敛。
Based on the application and development platform provided by the calculation toolbox PETSc,a parallel linear solver was developed for single multi-core computers.Data and operations that are necessary for an FEM analysis were packaged in the form of a class provided by C＋＋,and the linear FEM iteration method was used to solve problems in parallel.Test results show that 3G memory and four nuclear computers can compute a 3D linear FEM with a number of nodes of 800 000.The speedup ratio was up to 1.81 for two processes and 3.24 for four processes.The solver has a good ability to adapt to morbid equations.Iteration can converge for the finite element model with elastic modulus of materials differing by 100 000 times.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
北大核心
2013年第4期365-370,共6页
Journal of Hohai University(Natural Sciences)
