查询词典 discretization error

This paper is devoted to solving linear saddle point problems, Specifically, We consider nonsymmetric systems, written as usual in block form, where the upper left block is an invertible linear operator with positive definite symmetric part. Such saddle point problems arise, for example, in certain finite element and finite difference discretizations of NavierStokes equations, Oseen equations, and mixed finite element discretization of second order convection-diffusion problems.

中文题名求解鞍点问题的迭代方法副题名外文题名论文作者冯丽红导师曹志浩教授学科专业计算数学研究领域\研究方向学位级别博士学位授予单位复旦大学学位授予日期2002 论文页码总数87页关键词鞍点问题迭代方法网格离散线性方程组馆藏号BSLW /2003 /O241 /15 论文针对鞍点问题的求解分析了一些典型的快速算法。

For overlapping domain decomposition method, we prove the geometric convergence for continuous algorithm in the sense of energy norm by means of projection theory, analyze the convergence rate of the algorithm in detail. And we also discuss the discretization of the algorithm and its finite element implementation. Some numerical experiments are also given.

对重 叠型区域分解算法，利用投影理论，证明了连续型算法在能量模意义下的几何收敛性，详细地分析了算法的收敛速度，也讨论了算法的离散化及有限元处理，并给出了相应的数值实验。

In calculation, the discretization of continuity equation is performed in accordance with semi-implicit Scharfetter-Gummel scheme and the electric field is solved by the current conservation instead of the Poissons equation, so it saves plenty of time for calculation.

在计算中，对于粒子的连续性方程我们采用Scharferter和Gummel提出的有限差分方法，并用电流守恒方程代替泊松方程来求解电场，从而节省了大量的计算时间。

In calculation, the discretization of continuity equation is performed in accordance with semi-implicit and the electric field is solved by the current conservation instead of the Poissons equation.

在计算过程中，对于粒子的连续性方程我们采用有限差分方法，并用电流守恒方程代替泊松方程来求解电场。

The outflow fields of a simplified fastback car were studied with numerical methods of different turbulence models and diflerent discretization scheme s with the CFD code STARCD.

以简化的直背式轿车模型为研究对象，以商用计算流体力学软件STAR-CD为工具，应用不同的湍流模型和离散格式对轿车外流场进行了数值模拟，通过与试验结果的对比，研究了湍流模型和离散格式对直背式轿车外流场数值计算精度的影响，同时对SIMPLE算法及其两种修正方法PISO和SIMPISO算法的计算精度进行了比较。

The mathematical programming formulation and related solution procedure are established by the traditional BEM. Through the discretization of space and time, the elastoplastic stress simulation method and reduce-basis technique are adopted to construct the self-equilibrium stress field. The numbers of variables and constraint equations in the resulting mathematical programming formulation are reduced greatly and then the dimension obstacle of computation in 3-D limit and shakedown analysis is overcome.

采用常规边界元方法建立了三维结构极限与安定分析的数学规划格式，通过对时间和空间的离散化，并采用弹塑性模拟法构造自平衡应力场和引入减缩基技术，大大减少了所形成的数学规划格式中的未知变量和约束方程的数目，有效地克服了三维结构极限与安定分析中的维数障碍问题。

Based on the spherical harmonic functions expansion and finite difference for discretization of transport equation, an inverse power scheme is presented for calculation of the k-eigenvalue problem.

基于球谐函数展开和有限差分离散，给出了中子输运方程的源项反演逼近的反幂算法，该方法的优势是在适当的初值条件下可以显著提高计算速度。

While the second order full extension ETG finite element method is applied to solve the problems concerned with natural convection and forced convection, different discretization schemes are deduced respectively. Then the equations are solved by using the technology of variable bandwidth and mass diagonal matrix.

详细推导了应用二阶全展开ETG有限元法求解自然对流和强制对流问题时的有限元列式，并应用压力校正法与质量矩阵对角化及变带宽压缩存储技术对方程进行求解。

The solutions are obtained for both the steady-state case and the developing case by the fixed point theorem and the semi-discretization method.

通过不动点理论结合半离散方法，分别得到定态情形和发展方程解的存在性。

In the process of discretization, the uniform grid is shifted half mesh away from the poles by using the symmetry constrain property of Fourier coefficient on the sphere.

上述分析可推广至三子域情形，同样也得到了算法的有限步终止性。本文通过数值实验对区域分解算法进行数值分析。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。