查询词典 weak formulation

Using the property of the bilinear and trilinear form, a priori bound for solutions of a weak formulation is given.

利用双线性函数和三线性函数的性质，论述了各子问题的有界性、强制性以及解的先验估计。

We first got the PML equations by making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Grding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experiments which show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Grding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

We first got the PML equationsby making the radius complex, and then proved that the sesquilinear form in the weak formulation of the PML problem satisfies the Garding inequality under the hypothesis of the absorption factor, and further could prove the existence and uniqueness of the solutions of the PML problem, finally, we gave the numerical experimentswhich show that this method is feasible to a certain extent.

首先通过复化极径得到PML方程，然后在关于吸收参数的假设下，证明了PML问题变分形式中的半双线性形式满足Garding不等式，进而证明了PML问题解的存在惟一性，并给出了数值实验。实验结果表明，该方法有一定的可行性。

Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell is presented, thermal stresses mixed equation of closed continuous cylindrical shell is established.

建立了弹性力学基本方程的弱形式，从而得到叠层连续柱壳混合状态方程和边界条件放在一起的算子方程，扩大了求解的空间，给出了叠层连续闭口柱壳在热荷载和机械荷载作用下的解析解。

Weak formulation of equilibrium equations including boundary conditions of laminated cylindrical shell are presented, and thermal stresses mixed state equation for axisymmetric problem of closed cantilever cylindrical shell is established.

导出层合柱壳轴对称问题的平衡方程和边界条件的弱形式，提供了方程和边界条件放在一起的算子形式，建立了悬臂柱壳轴对称问题的热应力混合方程，给出了正交异性层合悬臂柱壳在热荷载和机械荷载作用下的弱形式解·本文提出的方法弱化了求解方程和边界条件，化解了问题，具有一般性并便于推

Second, based on the proposed weak formulation, we investigate the numerical solutionsof the time fractional diffusion equation.

基于上述弱解理论，我们计算时间分数阶扩散方程的数值解。

In the text, the Spectral element method is used to model the seismic wave propagation, which is based on a weak formulation of the elastic mechanics equation. It combines the geometrical flexibility of the Finite element method and the accuracy of the pseudospectral method.

本文采用谱元法对横向同性介质中的地震波进行模拟，该方法基于弹性力学方程弱形式基础之上，具有有限元适应任意复杂介质模型的韧性和伪谱法的精度。

First, the paper presents mathematically the existence of a solution in the weak formulation of SBV space.

首先在数学上指出了 MS泛函弱解在 SBV函数空间中的存在性，然后讨论了计算弱解的数值逼近方法。

We establish the well-posedness of the weak formulation and its discrete counterpart.

另外，我们还给出了严格的误差分析，并用数值试验检验了理论结果。

The weak formulation permit is satisfied not point by point, finite element method balances only at node neighborhood, in unit balance is not required, in analytical method single check from infinite series does not satisfy the equation, but infinite number of points satisfy the equation, and then the weak formulation of dual system of Hamilton equations was educed.

基于基本方程和边界条件的弱形式，给出相应的广义变分和不同形式的有限元所采用的弱条件，说明弱形式允许不是逐点满足，有限元法只在节点邻域平衡，在单元内不要求平衡，解析法用无穷级数中单取一项也不满足方程，也是无穷多项在积分下满足，进而导出对偶体系弱形式哈密尔顿方程。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。