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This paper presents a fast algorithm based on the measured equation of invariance.Conformal meshes are made along the surface of two-dimensional scatterer.Renumbering of nodes changed the original sparse matrix into band one,and the consumption of computer memory and CPU time decrease from O(N2) to O.Via this new algorithm,electrically large problem can now be rapidly solved.

提要 本文基于不变性测试方程法提出一种快速算法,在二维散射体表面建立共形差分网格后,通过对节点的重新排序,将原问题中的稀疏矩阵变换为带状稀疏阵,从而使占用的计算机内存和计算时间均由O(N2)下降为O,可以解决原来无法计算的问题。

Three meshes ; mesoscopic coupled circuit ; canonical ensemble ; quantum fluctuation

三网孔;电容耦合电路;正则系综;量子涨落

However,authors still do not find the relevant references on convergence and symmetric problems of the semi-analytical solution.Based on the semi-analytical solution for Hamilton canonical equation theory,the formulations of the clamp and simply supported and symmetric boundary conditions on the Hamiltonian element are derived by the variational principle.Several numerical examples show that with increase of meshes,the convergence rate of the semi-analytical solution is faster than the convergent rate of traditional finite element method based on displacement.

①在厚度上没有任何位移和应力模式的假设,由于传递矩阵方法的引入,从理论上讲,不受板壳厚度或层合板壳层数的限制;②采用弹性力学的Hamilton正则方程半解析法,可以克服边界的局部化效应[8];③由于在平面内或圆柱壳的曲面内采用了有限元法,所以一般的板壳问题不受结构侧面边界条件的限制,在复杂工程板壳问题上具有广泛的应用领域。

For genus zero closed surfaces,the parameter domain is sphere,so the cutting of the surface meshes in the parametrization process is avoided.

对于零亏格封闭网格曲面,以球面为参数域的参数化方法可以有效避免对网格的切割,是近年来的研究热点。

The present method has not only solved the field distribution computation of irregular domain, but also overcomed limitations of mesh dividing of the multigrid method when"coarsen"meshes.

本文将一种高效、快速求解Laplacc边值问题的数值计算方法——多重网格法引入到求解电子光学旋转对称场分布问题。

The effects of artificial viscosity coefficient and mesh density on simulation results were discussed. The larger artificial viscosity coefficients and coarser meshes can smear off peak pressure of shock wave severely, but affect impulse little.

讨论了人工粘性、网格密度对计算结果的影响:较大的人工粘性系数和较粗的网格会严重抹平冲击波峰值压力,但对冲量影响较小。

By means of the difference discrete variational principle, discrete Legendre transformation and discrete version of the E-L cohomology, for a kind of regular meshes we''ve found there is a kind of symplectic/multisymplectic structures with corresponding symplectic/multisymplectic finite element method/mixed finite element method schemes.

利用差分离散变分原理、离散Legendre变换和EL上同调的离散形式,对于正规网格找到一类有限元和混合有限元的辛或多辛结构,以及相应的辛有限元/混合有限元格式。

By using the meshless method, a numerical ocean engineering basin was established to simulate irregular waves propagated in shallow water. Locating the source points outside the computational domain, the problem of water wave propagation was solved by collocation of only a few boundary points instead of meshes.

采用基于配点和径向基函数的无网格数值模拟方法,建立数值海洋工程水池,将源点布置在模拟波浪场之外,沿边界布置配点而不是划分网格;对深水不规则波经斜坡过渡后在均匀水深浅水域中传播的过程进行无网格数值模拟和波谱的迭代修正。

Experimental results show that the algorithm is efficient, robust and can be applied to arbitrary complex 2D manifold meshes.

应用实例表明:文中算法稳定、高效,适合于任意复杂的二维流形网格。

To construct the parameterization form of reconstruction surface, a new algorithm for the planar parameterization of quadrilateral meshes is presented.

4提出了基于网格简化的四边形网格参数化算法,为构造重建网格的参数曲面提供了新方法。

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