1) FM-BEM
多极边界元
1.
The presented method was suitable for 3-D elasto-plastic frictional contact Fast Multipole Boundary Element Method(FM-BEM),which was much efficient for the elasto-plastic complicated iteration and time-consuming problems.
提出了基于多极展开法的规划-迭代型非线性方程组的IGMRES(m)并行算法,本法适用于三维弹塑性摩擦接触多极边界元法,有效处理弹塑性摩擦接触迭代过程中的繁杂和费时问题,数值实验表明,本求解法在确保数值精度的前提下,提高求解速度和增大求解问题的规模是有意义的。
2.
The presented method is well suitable for 3D elasto-plastic frictional contact Fast Multipole Boundary Element Method(FM-BEM),which is much efficient for the elasto-plastic complicated iteration and time-consuming problems.
提出了基于多极展开法的规划-迭代型非线性方程组的IGMRES(m)并行算法,该算法适用于三维弹塑性摩擦接触多极边界元法,可有效处理弹塑性摩擦接触迭代过程中的繁杂和费时问题。
2) multipole-BEM
多极边界元法
1.
The three-dimensional elastic contact multipole-BEM and the corresponding program are successfully used in solving the distributions of traction in the press down screw-pairs of 3500 heavy plate mill, which is a large scale computing subject.
将三维弹性摩擦接触多极边界元法及软件应用于3500中厚板轧机压下螺纹副三维面力场的大规模运算课题。
3) Fast Multipole Boundary Element Method
多极边界元法
1.
Methods Fast Multipole Boundary Element Method,the method of solving the singularity,and the method of Laplace Transformation.
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。
4) FM-BEM
多极边界元法
1.
In this paper, we study 3D fast multipole boundary element method (FM-BEM) for potential problems and 3D FM-BEM for elastic problems, prove the existence and uniqueness of 3D FM-BEM for potential problems, the singular integrals in 3D Fast Multipole BEM for potential problems can be dealt with, also, the FMM expansion of the kernels for 3D elastic problems can be derived.
论文研究了三维位势问题和三维弹性问题的多极边界元法,证明了三维位势问题多极边界元法解的存在唯一性,对三维位势问题多极边界元法中的奇异积分进行了处理,并且推导出三维弹性问题多极边界元法的核函数多极展开式。
2.
In this paper, we study parallel of generalized minimal residual algorithm (GMRES) in fast multipole boundary element method (FM-BEM), present the discretization of the boundary integral equation and numerical application of parallel algorithm, then improve on the conventional QR decomposition in order to reduce the problem solution process seriously.
论文研究了多极边界元法中GMRES(m)的并行化,给出了边界积分方程的离散过程及并行算法的数值应用,然后对QR分解的传统算法作了改进,使得解题过程大大的减少。
3.
We study the Designing Parallel Algorithms for GMRES(m) in the FM-BEM in this paper, and bring forward Householder Reduction Methods of QR decomposition,and give designing the parallel algorithm at computer’s system .
论文研究了多极边界元法中GMRES(m)算法的并行设计,并且提出Householder约化法的QR分解,给出机群系统下Householder变换的QR分解并行设计,同时研究了规划-迭代型多极边界元法的截断型IGMRES(m)算法的并行设计,由于并行多极边界元法的高效性和低的内存占有量,大大提高了计算的速度,使边界元法解决大规模问题成为可能。
5) boundary of diversification
多元边界
6) fast multipole boundary element method(FMBEM)
快速多极边界元法
1.
The fast multipole boundary element method(FMBEM) was applied to calculate the interior acoustic problems.
将快速多极边界元法(FMBEM)应用于计算内部声学问题,预测了消声器的传递损失,并与传统边界元法(CBEM)作了比较,验证了所发展FMBEM的正确性。
补充资料:动物组织多极神经元
李瑞端绘
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说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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