适合于求解边界元方程组的GMRES算法的实用化和并行化研究

为了将GMRES算法应用于大型边界元方程组的求解，采用预条件技术和重正交技术相结合的方法实现了该算法的实用化，然后在实用化的基础上针对迭代算法具有良好并行性的特点，研究了该算法在网络机群环境下的并行化技术。数值试验和分析表明所用的这些技术是行之有效的，对于提高求解速度和增大求解问题的规模是有意义的。

Study on the utilization and parallelization of the GMRES algorithm for BEM systems solution

To apply the Generalized Minimum Residual algorithm to the solution of large-scale BEM systems, the precondition technique and he re-orthogonalization technique are adopted. Based on these practical techniques adopted above and the good parallelism of iterative algorithm, the parallelization technique is also studied under the networked PC cluster environment. The numerical tests and analysis show that all these techniques are useful and of great importance for accelerating the speed of solution and enlarging the scale of the problem.