查询词典 error estimate

We prove a priori error estimate of this new method.

其次，各单元的多项式次数可以不相同。

The weighted least square iteration computational equations and error estimate equations are given.

给出了加权最小二乘法的迭代计算公式和误差估计公式。

This paper discusses the conditional stability for solving the inverse sideways heat conduction problem by the rapid decreasing properties of the mollification kernel function, and obtain its regularization solution and its error estimate by constructing a well-posed problem.

利用磨光核函数在无穷远处的急降性质研究了反问题的条件稳定性，构造了一个适定的问题来逼近原问题，从而获得反问题的正则化解及其误差估计。

The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。

He proved that:if the total moving times of mesh M is a finite number and independent ofΔt andh.the L2-norm error estimate is optimal;if Mh is independent ofΔt and bounded,energy norm error estimate is optimal.

并证明了当网格变动次数M是不依赖于Δt和h的有限数时，近似解与真解的L2误差估计是最优的；当Mh不依赖于Δt且有界时，能量模误差估计最优。

The aims of this paper are to derive the optimal error estimates of eigenpairs, i.e. the optimal error estimate of eigenvalues, and the new error estimates of velocity, pressure including the L~2 - norm and energy norm, respectively, in which the L~2 - norm estimate of velocity on anisotropic meshes has not ever been seen in the precious literature.

对于Stokes特征值问题本文不仅得到了征值对的最优误差估计即：特征值和流速压力的零模和能量模以及压力的能量模最优误差估计，其中在各向异性网格下对此问题的零模估计尚未见报道。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

The factors of calculating accuracy are analyzed. Finally, the common process and conclusions of exponential type error estimate on RBF collocation method are given. The error estimates of nonlinear Poisson equation and plane piezoelectric structure are obtained using RMQ basis function.

最后，给出径向基函数指数型收敛误差估计的一般过程和结论，并将RMQ基函数应用到非线性Poisson方程和平面压电结构的误差分析，它们分别具有O λc /h(来源：b8ABC论文网www.abclunwen.com和O的误差估计。

In the second part,we have mainly discussed the error es-timates of the numerical methods for solving ill-posed problem,including the error estimate of finite-dimensional regulariza-tion method in Chapter 5,and the error estimate of regulariza-tion-spline method for solving Fredholm integral equation ofthe first kind.

在第二部分，我们主要讨论了不适定问题数值方法的误差估计，包括有限维正则化方法求解不适定问题的误差估计以及用样条正则化方法求解第一类Fredholm积分方程的误差估计，两者均是目前还未有的结果。

In chapter three,we consider first order generalized difference scheme for linear Sobolev equation in two dimensions.Lp and W1,p-norm error estimates of the Ritz-Volterra projection u-Vhu and W1,p-norm super error estimate of uh-Vhu are made,so we obtain Lp and W1,p-norm error estimatesOf u-uh.

第三章考虑二维线性Sobolev方程的一阶广义差分格式，建立 Ritz－Volterra投影模误差估计和的模超收敛估计，从而得到的最优模误差估计。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。