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51.
The moving least-square approximation is discussed first. Sometimes the method can form an ill-conditioned equation system,
and thus the solution cannot be obtained correctly. A Hilbert space is presented on which an orthogonal function system mixed
a weight function is defined. Next the improved moving least-square approximation is discussed in detail. The improved method
has higher computational efficiency and precision than the old method, and cannot form an ill-conditioned equation system.
A boundary element-free method (BEFM) for elastodynamics problems is presented by combining the boundary integral equation
method for elastodynamics and the improved moving least-square approximation. The boundary element-free method is a meshless
method of boundary integral equation and is a direct numerical method compared with others, in which the basic unknowns are
the real solutions of the nodal variables and the boundary conditions can be applied easily. The boundary element-free method
has a higher computational efficiency and precision. In addition, the numerical procedure of the boundary element-free method
for elastodynamics problems is presented in this paper. Finally, some numerical examples are given. 相似文献
52.
ZHANG Zheng-Jie MA Dong-Ping 《理论物理通讯》2007,48(2):357-362
By means of improved ligand-field theory, the "pure electronic" pressure-induced shift (PS) and the PS due to electron-phonon interaction (EPI) of R-line of MgO:Cr^3+ have been calculated, respectively. The calculated results are in very good agreement with the experimental data. The behaviors of the pure electronic PS of R-line of MgO:Cr^3+ and the PS of its R-line due to EPI are different. It is the combined effect of them that gives rise to the total PS of R-line, which has satisfactorily explained the experimental results. The comparison between the feature of R-line PS of MgO:Cr^3+ and that of R1-line PS of ruby has been made. 相似文献
53.
映射法是一种非常经典、有效和成熟的求解非线性演化方程的方法,其最大的特点是可以有多种不同形式的设解,使得最终求得的解丰富多彩. 利用改进的 Riccati 方程映射法和变量分离法,得到了(2+1)维非对称 Nizhnik-Novikov-Veselov 系统的新显式精确解.根据得到的孤波解,构造出该系统的峰孤子和分形孤子等局域结构,研究了两个孤立波的“追碰”现象.
关键词:
改进的映射法
(2+1)维非对称 Nizhnik-Novikov-Veselov 系统
局域结构
“追碰”现象 相似文献
54.
An improved boundary element-free method (IBEFM) for two-dimensional potential problems 总被引:1,自引:0,他引:1 下载免费PDF全文
The interpolating moving least-squares (IMLS) method is discussed
first in this paper. And the formulae of the IMLS method obtained by
Lancaster are revised. Then on the basis of the boundary
element-free method (BEFM), combining the boundary integral equation
(BIE) method with the IMLS method, the improved boundary
element-free method (IBEFM) for two-dimensional potential problems
is presented, and the corresponding formulae of the IBEFM are
obtained. In the BEFM, boundary conditions are applied directly, but
the shape function in the MLS does not satisfy the property of
the Kronecker δ function. This is a problem of the BEFM, and
must be solved theoretically. In the IMLS method, when the shape function
satisfies the property of the Kronecker δ function, then the
boundary conditions, in the meshless method based on the IMLS
method, can be applied directly. Then the IBEFM, based on the IMLS
method, is a direct meshless boundary integral equation method in
which the basic unknown quantity is the real solution of the nodal
variables, and the boundary conditions can be applied directly and
easily, thus it gives a greater computational precision. Some
numerical examples are presented to demonstrate the method. 相似文献
55.
Traditional ligand-field theory has to be improved by taking into account both pure electronic contribution and electron-phonon interaction one (including lattice-vibrational relaxation energy). By means of improved ligand-field theory, the R line, t^322T1 and t^322T2 lines, t^22(^3T1)e^4T2, t^22(^3T1)e^4T1 and t2e^2(^4A2)4T1 bands, g factors of t^32 ^4A2 and t32E, four strain-induced level-splittings and R-line thermal shift of MgO:V^2+ have been calculated. The results are in very good agreement with the experimental data. It is found that for MgO:V^2+, the contributions due to electronphonon interaction (EPI) come from the first-order term; the contributions from the second-order and higher terms are insignificant. In thermal shift of R line of MgO:V^2+, the temperature-dependent contribution due to EPI is dominant. The results obtained in this work may be used in theoretical calculations of other effects of EPI. 相似文献
56.
With the values of parameters obtained from improved ligand-field theory, by taking into account all the irreducible representations and their components in EPI as well as all the levels and the admixtures of basic wavefunctions within d^3 electronic configuration, the R-line thermal broadenings (TB) of both MgO:Cr^3+ and MgO:V^2+ have microscopic-theoretically been calculated, The results are in very good agreement with the experimental data. It is found that the R-line TB of MgO:Cr^3+ or MgO:V^2+ comes from the first-order term of EPI. The elastic Raman scattering of acoustic phonons plays a dominant role in R-line TB of MgO:Cr^3+ or MgO:V^2+. 相似文献
57.
58.
传统Prony法在分析低频振荡时对输入信号要求较高,存在着对噪声敏感的弱点.因此提出一种经验模态分解滤波和改进Prony法相结合的低频振荡分析方法.该方法先用经验模态分解对低频振荡信号进行自适应滤波,再用改进Prony法对滤波后的信号进行分析.其中,改进Prony法有效阶数用归一化奇异值法确定.将该方法分别用于分析试验信号和IEEE 4机系统振荡信号,并与基于低通滤波器的Prony分析进行比较.结果表明,在较大噪声环境下,该方法仍然能相对准确的辨识出低频振荡主导模式,验证了其有效性.
关键词:
低频振荡
经验模态分解
改进Prony法
归一化奇异值法 相似文献
59.
随着勘探开发的不断深入,渤海油田面临越来越多的疑难储层,这类储层流体性质识别与裂缝孔隙度评价成为测井评价的难点。本文依据Biot理论,描述了存在裂隙条件下的含裂隙Biot理论,形成改进的孔隙介质模型。根据该模型利用阵列声波测井数据进行反演得到裂缝孔隙度,同时通过流体置换,得到不同流体对应的岩石体积模量,对其进行交会判别流体性质,实现了阵列声波测井裂缝孔隙度定量评价与流体性质识别综合应用。利用该模型对渤海油田十几口井进行计算,结果表明该方法对于常规砂泥岩和复杂岩性储层均能取得较好效果,本文提出的储层流体性质识别与裂缝孔隙度评价方法,有助于扩展阵列声声波测井的应用范围。 相似文献
60.
Traditional ligand-field theory has to be improved by taking into account
both pure electronic contribution and electron-phonon interaction one
(including lattice-vibrational relaxation energy). By means of improved
ligand-field theory, the R line,
t23 2T1 and t23 2T2
lines, t22 (3T1)e4T2, t22 (3T1)e4T1 and t2
e2(4A2)4T1 bands, g factors of t23 4A2 and t23 2E, four strain-induced level-splittings and R-line thermal shift of
MgO:V2+ have been calculated. The results are in very good agreement with the experimental data. It is found that for
MgO:V2+, the
contributions due to electron-phonon interaction (EPI) come from the
first-order term; the contributions from the second-order and higher terms
are insignificant. In thermal shift of R line of MgO:V2+, the
temperature-dependent contribution due to EPI is dominant. The results
obtained in this work may be used in theoretical calculations of other
effects of EPI. 相似文献