摘要
目的研究基于多极边界元法的三维位势问题解的奇异性处理方法.方法多极边界元法,奇异性处理方法和拉普拉斯变换法.结果利用拉普拉斯变换的方法,将拉普拉斯变换运用到三维位势问题中,得到了基于多极边界元法的三维位势问题解的奇异性处理方法.结论完善了基于多极边界元法的三维位势问题的数学理论,给出了奇异性处理方法.
Objective To study the method of solving the singularity in 3D Fast multipole-boundary clementmethod (FM-BEM) for potential problems. Methods Fast Multipole Boundary Element Method, the method of solving the singularity, and the method of Laplace Transformation. Results Using the method of the Laplace Transformation, the Laplace Transformation can be applied to 3D potential problems. The method of solving the singularity in 3D Fast Multipole BEM for potential problems can be obtained. Conclusion The mathematical method of the three-dimensional FM-BEM is completed, and the method of solving the singularity is given.
出处
《河北北方学院学报(自然科学版)》
2008年第5期4-5,共2页
Journal of Hebei North University:Natural Science Edition
关键词
边界元法
多极边界元法
拉普拉斯变换
奇异性处理方法
Boundary Element Method l Fast Multipole Boundary Element Methods Laplace Transformation
method of solving the singularity