CAJ | 학술논문

和快速多极方法相结合,使边界元法处理大规模工程与科学问题变得十分有效.首先概括介绍了快速多极边界元法,接着介绍其精度和效率的验证以及与常规边界元法的比较,并给出在微机机群上的快速多极边界元并行算法.给出了快速多极边界元法的一些应用,其中包括:复合材料的二维、三维模拟,含大量裂纹的二维弹性固体及其疲劳裂纹扩展的模拟.此外还介绍了用于弹塑性问题的快速多极边界元新方法.
화쾌속다겁방법상결합,사변계원법처리대규모공정여과학문제변득십분유효.수선개괄개소료쾌속다겁변계원법,접착개소기정도화효솔적험증이급여상규변계원법적비교,병급출재미궤궤군상적쾌속다겁변계원병행산법.급출료쾌속다겁변계원법적일사응용,기중포괄:복합재료적이유、삼유모의,함대량렬문적이유탄성고체급기피로렬문확전적모의.차외환개소료용우탄소성문제적쾌속다겁변계원신방법.
Combined with the fast multipole method, the boundary element method (BEM) becomes quite efficient to deal with large-scale engineering and scientific problems. The outline of the FMBEM (fast multipole BEM) was introduced at first, the accuracy and efficiency were then verified and compared with the conventional BEM, and a parallel algorithm of FMBEM for PC cluster was briefly presented. Some applications were presented, including: 2D and 3D simulation of composite materials, simulation of 2D elastic solid containing large numbers of cracks and fatigue crack growth. A new approach of FMBEM for elasto-plasticity problems was also proposed.