biharmonic equation
英
美
网络 双调和方程
双语例句
- Existence of Solution for a Singular Biharmonic Equation Involving Critical Exponent
具临界指数及奇异性的双调和方程解的存在性 - Fourier Analysis on Schwarz Domain Decomposition Methods for the Biharmonic Equation
双调和方程Schwarz区域分解算法的Fourier分析 - Domain Decomposition Method of Mixed Finite Element Method on Biharmonic Equation
重调和方程的混合有限元的区域分解算法 - The numerical solutions of cut-off frequency in two dielectric layered waveguides by using boundary element method an error estimate of BEM to biharmonic equation
求解平面双调和方程边界元法的误差分析 - In this paper we explore multiresolution approximation to the solution of the boundary value problems in intervals and rectangular fields for the biharmonic equation using wavelet-Galerkin methods.
本文主要用小波-伽辽金方法研究了区间以及矩形域上双调和方程边值问题的解的多尺度逼近。 - According to the nature of two-dimensional biharmonic equations, this paper obtains a polynomial solution of the biharmonic equation for stress function by means of the MATHEMATICA software.
根据二维双调和方程的特点并借助于MATHEMATICA软件，得到了应力函数双调和方程的多项式解答。 - In chapter three, we study the wavelet numerical solution of simply-supported boundary value problem of biharmonic equation.
第三章，我们考察了双调和方程简支边值问题的非平稳小波数值解。 - Boundary Knot Method for the Cauchy Problem Associated with the Non-homogeneous Biharmonic Equation
用边界结点法（BKM）求解非齐次双调和方程的Cauchy问题 - The Mixed Finite Element Method for Solving the Dirichlet Problem of Biharmonic Equation
重调和方程Dirichlet问题的混合有限元方法 - FENG Kang, YU De-hao and some other scholars of our country are the first ones to create the natural boundary element method ( NBEM), and they have successfully studied the natural boundary reduction method for the boundary value problems of harmonic equation and biharmonic equation.
我国学者冯康、余德浩等首创自然边界元法，并已成功地研究了调和方程及双调和方程边值问题的自然边界归化方法。 - The Research on the Positive Solution to Boundary Value Problem of a Kind of Biharmonic Equation
双调和方程边值问题正解的研究 - Matrix analysis of domain decomposition method for biharmonic equation
双调和方程区域分解法的矩阵分析 - When solving plane elasticity problems without body force, ψ can be obtained by solving one biharmonic equation, while the stresses and displacements derived from ψ satisfy with boundary conditions.
这样，在求解无体力的弹性力学平面问题时，只需求解一个重调和方程就可得到Ψ，并可使Ψ导得的应力和位移满足边界条件。 - Then by using the critical point theory, prove the many solutions to a class of nonlinear biharmonic equation with critical potential when the nonlinear term has subcritical growth.
随后，利用临界点理论证明了含临界位势的非线性椭圆型双调和方程多重解的存在性，其中非线性项为次临界增长。 - With the solutions of the biharmonic equation at boundary value in a semi-infinite stripe, a weighted energy function is established. An exponential decay estimation in terms of the distance from the finite end of the stripe is obtained from a second order differential inequality.
对半无限带状区域上双调和方程边值问题建立了能量衰减估计，证明了以方程的解建立的加权能量随着与区域有限端距离的增长，该能量呈指数式衰减。 - This is a method on the basis of satisfying biharmonic equation of the plate by using principle of minimum complementary energy to result in concordant displacement of plate and frame.
所用方法是以满足板的双调和方程为基础，运用最小余能原理，达到板与框架的位移协调一致。 - In this paper a semi-analytic method is presented to solve the biharmonic equation. This method combines the Fourier method with the Morley element method without their respective shortcomings.
提出了重调和方程的半解析解法，将Fourier方法和Morley元方法结合起来，克服了它们各自的缺点。 - This paper discusses the solution of Fourier transform for biharmonic poisson equation with the boundary value condition on upper plane.
介绍了Fourier变换求解线性偏微分方程的一般方法，并探讨用Fourier变换法求解上半平面带边值条件的双调和泊松方程问题。 - The Solution of Fourier Transform to Biharmonic Poisson Equation on Upper Plane
上半平面双调和方程的Fourier变换解法 - Exact Integration of Biharmonic Equation In Boundary Element Method
边界元中三维重调和方程的精确积分法 - A semi-analytic method for the biharmonic equation and its estimation of error
重调和方程的半解析解法及误差估计 - On Solving the Boundary-value Problem of Biharmonic Equation in Rectangular Region with Difference Method ( I)
关于差分法解矩形区域上重调和方程的边值问题（Ⅰ） - It is also proved that this element is superconvergent of order O ( h2) for the biharmonic equation by using a series of novel ideas and techniques. Moreover, the consistency error estimate is obtained on the anisotropic meshes.
对重调和方程通过运用新的方法和技巧，证明了该元具有O（h2）阶的超收敛性质，而且，相容误差的估计是在各向异性网格下得到的。 - The boundary integral equation method for solving the Dirichlet problem of a biharmonic equation
用边界积分方程法解平面双调和方程的Dirichlet问题 - An existence theorem of weak solution to a class of biharmonic equation was proved by the sub-super-solution method, the imbedding theorem and the Leray-schauder fixed point theorem.
利用上下解方法、嵌入定理和Leray-Schauder不动点定理证明了一类双调和方程弱解的存在性定理。 - Hybrid Finite Element Method for Biharmonic Equation and Its Application to Thin Plate Problems
双调和方程的杂交元法及其在薄板问题中的应用 - The Solution of Green Functional Method and Numerical Solution on Matlab Programming to Biharmonic Equation
双调和方程的Green函数解法及基于Matlab编程的数值解 - Variational principle and numerical analysis of generalized difference method for biharmonic equation
双调和方程广义差分法的变分原理和数值分析 - With Airy stress function, a plane elasticity problem can be simplified to solve a biharmonic function equation.
通过引入Airy应力函数，平面问题可以归结为在给定的边界条件下求解一个双调和方程。 - Firstly we construct the elastic plate model, and give the uniqueness and stability anal-ysis to the biharmonic equation. And then we derive the fundamental solution of the biharmonic equation.
本章首先建立了薄板弹性模型，给予双调和方程唯一性和稳定性分析，并推导出双调和方程基本解的表达式。