Helmholtz equation
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网络 亥姆霍兹方程; 方程式; 亥姆霍茲方程; 亥姆霍兹方程式; 赫姆霍兹方程式
双语例句
- On Helmholtz Equation with Mixed Boundary Conditions
Helmholtz方程的一类混合边值问题的研究 - Some Overlapping Domain Decomposition Algorithms for 2-D Helmholtz Equation
二维Helmholtz方程的一些重叠型区域分解算法 - In the time varying electromagnetic field, we have solved Helmholtz equation of a scalar potential under the spherical polar coordinate, and obtained its general solution.
本文利用拉普拉斯方程的基本解作为权函数，给出求解交系数非齐次亥姆霍茨方程的迭代格式，进而得到求解这类方程的边界元迭代法。 - Preconditioned Iterative Method for Robbins Issue of the Two-dimension Helmholtz Equation
二维Helmholtz方程的Robbins问题的预条件迭代方法 - The Virtual Boundary Element Method for Exterior Problems of the 3-D Helmholtz Equation
三维Helmholtz方程外边值问题的虚边界元法 - Galerkin Boundary Element Method for Exterior Problems of the 2-D Helmholtz Equation for All Wavenumbers
任意波数的二维Helmholtz方程外边值问题的Galerkin边界元法 - Some Regularization Methods for the Cauchy Problem for the Helmholtz Equation in the Rectangular Region
矩形区域上Helmholtz方程Cauchy问题的几种正则化方法 - The optical field distribution in wide planar-waveguide CO_2 gas laser satisfies Helmholtz equation.
平板宽波导CO2激光器波导内光场分布满足亥姆霍兹方程。 - The eigenmode of a hollow waveguide with two curved surfaces was analyzed with Helmholtz equation and the transmitting efficiency of the hollow waveguide was analyzed with a ray optics approach.
通过亥姆霍兹方程研究了双弯曲截面柔性波导的本征模式；运用光学方法计算了波导的传输效率。 - Boundary Integral Method for Exterior Dirichlet Problem of Helmholtz Equation
Helmholtz方程外Dirichlet问题的边界积分法 - The five-grid difference format of Helmholtz equation in slanting coordinate have been derived.
推导出斜坐标系下，亥姆霍兹方程的五点差分格式； - This paper presents a discussion on various boundary integral equations reduced from the exterior Neumann problem of Helmholtz equation.
对由Helmholtz方程Neumann外问题化归的各种边界积分方程进行了讨论。 - The method can make it more approximation to Helmholtz equation and it's answers include WKB approximation.
该法可以更加近似赫姆霍兹方程，且它的解中包含WKB的近似值。 - The equations of motion for the free vibration of the coupling system are derived by the use of Kennard's thin shell theory and Helmholtz equation and the coupling conditions on the surface of the shell as well as Dirac-δ function.
基于Kennard薄壳理论、Helmholtz方程以及壳壁外表面的运动协调条件，并借助Diracδ函数引进肋骨对壳体的作用，从而建立耦合系统的运动方程。 - A Finite Element Method for the Exterior Problem of the Helmholtz Equation in an Ocean Waveguide
二维海洋波导中Helmholtz方程外问题数值解的有限元方法 - BPM ( Beam-Propagation Method) is an iterative solution of the scalar Helmholtz equation.
BPM（Beam－PropagationMethod）是标量亥姆霍兹方程的迭代解法，用它可计算光振福在光纤或波导中的分布。 - Based on the fundamental solution of a two dimensional Helmholtz equation, the general principle of determing the cut-off frequencies of waveguides filled with two dielectric layers by using the boundary element method is discussed.
本文从二维亥姆霍兹方程的基本解出发，讨论了用边界元法求解双介质加载金属波导截止频率的一般原理。 - This paper presents a new numerical solution for Neumann problem of Helmholtz equation in R~ 3. The expression of the solution for this problem is obtained by use of a double layer potential and it leads to a Fredholm boundary integral equation of the first kind.
本文给出一种三维Helmholtz方程Neumann问题的新的数值解法。首先利用双层位势推得问题解的积分表达式并导出了一个Fredholm第一类积分方程。 - Meanwhile, the technique have achieve many progresses in itself, and its implementation algorithms mainly consist of spatial transform of sound field ( STSF), boundary element method ( BEM) and Helmholtz equation least-square method ( HELS).
在过去的二十多年中，该技术也取得了很大的发展，形成的全息变换算法主要有：空间声场变换（STSF）、边界元方法（BEM）和Helmholtz方程最小二乘法（HELS）。 - Using Helmholtz equation and Fourier transform, the approximate formulas and numerical results have been obtained under paraxial approximation.
在傍轴条件下导出了相应的近似公式，并给出了数值计算结果。 - Existence and Uniqueness for the Dirichlet Problem of the Helmholtz Equation on Unsmoothed Domain
Helmholtz方程在不光滑区域上Dirichlet问题解的存在及唯一性 - The kernel in the first kind integral equation arising from exterior Dirichlet problem of Helmholtz equation has a logarithmic singularity.
通过Helmholtz方程外Dirichlet问题产生的第一类积分方程的核具有对数奇性。 - This paper develops a mixed least-squares finite element method for the Helmholtz equation through casting the equation into a first order system, then considering the fact that the true solution minimize the remains of the system.
通过将Helmholtz方程变化为一阶线性系统，并考虑此线性系统余量与真解的关系，给出了对方程的一类最小二乘混合有限元方法。 - Bu using the perturbation method, the sound wave propagation equation in the medium with a linear temperature gradient is simplified into Helmholtz equation, which can be computed numerically with the boundary element method.
采用摄动法将具有线性温度梯度介质中的声传播方程化为Helmholtz方程，然后用边界元法进行计算。 - By analysis of acoustic Helmholtz equation with coordinate transformation, we found that due to the form invariant of the propagation equation, only the effect parameters ( effect density and effect bulk modulus) will change.
通过分析声波亥姆霍兹方程，对其进行坐标变换，基于传播方程的形式不变性，只需重新定义介质的有效参数（有效密度和有效弹性模量）。 - Both of these methods can improve the accuracy of the Helmholtz equation with Neumann boundary problem and get its difference schemes.
这两种方法都使得Helmholtz方程Neumann边界问题的离散精度得到了提高。 - By solving the Helmholtz equation, reverse-time migration method in frequency domain is derived.
通过求解Helmholtz方程，推导出频率域的逆时偏移方法。 - Generally, the government equation for guided wave with inside lightsource is non-homogeneous Helmholtz equation.
带有内光源的导波的控制方程一般是非齐次Helmholtz方程。 - Fl ü gge shell equation of motion and the Helmholtz equation were used to build hydrostatic pressure dispersion equation of coupling system, use the three-pointed iteration to solve Transcendental equations, get the spread of the wave dispersion curves.
采用Flügge壳体运动方程和Helmholtz声学方程建立静水压力作用下耦合系统的频散方程，利用三点迭代法对该超越方程进行求解，得到传播波的频散曲线。