Super-convergence

Superconvergence for the Raviart-Thomas Mixed Finite Element;

Raviart-Thomas混合元的超收敛

Superconvergence of Mixed Finite Element Methods for Second Order Equation with Dirichlet Boundary Value Problem;

二阶椭圆方程Dirichlet边值问题混合元的超收敛

Optimal L~p Error Estimates and Superconvergence for Finite Element Approximations to Burgers Equation;

Burgers方程有限元逼近的最优L~p估计及超收敛性

A Posteriori Error Estimate Based on Super-convergence Post-processing;

基于超收敛后处理的后验误差估计

Based on the Element Energy Projection (EEP) method, an improved scheme with optimal order of super-convergence, is presented for one-dimensional C 0 FEM, i.

对一维C0问题的高次有限元后处理中超收敛计算的EEP(单元能量投影)法提出改进的最佳超收敛计算格式,即用m次单元对足够光滑问题的有限元解答,采用该格式计算的任意一点的位移和应力都可以达到h2m阶的最佳超收敛结果。

Based on the newly-developed element energy projection(EEP)method with optimal super-convergence order for computation of super-convergent results,an improved self-adaptive strategy for one-dimensional finite element method(FEM)was proposed.

基于新近提出的具有最佳超收敛阶的单元能量投影(EEP)超收敛算法,提出用具有最佳超收敛阶的EEP超收敛解对有限元解进行误差估计,用均差法进行网格划分,用拟有限元解进行多次遍历而不反复求解有限元真解,形成一套新型的一维有限元自适应求解策略。

This paper introduce the Galerkin met ho d for boundary integral equation and obtain super convergence result by Least-s quare processing.

介绍了边界积分方程的Galerkin法 ,并证明了通过最小二乘法处理后可得到起超收敛结

In this dissertation, super convergence of second-order quasilinear parabolic and hyperbolic equations is analyzed, by using orthogonal series theory and generalized finite element method (GFEM), and complete results are achieved.

本文利用正交级数理论及广义有限元方法,针对拟线性抛物与双曲问题,研究了一类二阶拟线性抛物与双曲方程有限元的超收敛性,获得了较完整的结果。

The super convergence property of the exact solution is obtained by means of integral identities techniques.

本文应用了Adini非协调元方法研究了在各向异性网格下的四阶Bi-wave方程边值问题,通过积分恒等式等方法得到了相应的超收敛结果。

Superconvergence in High Order Galerkin Finite Element Methods;

高次Galerkin有限元法的超收敛性(英文)

Superconvergence of Generalized Galerkin Methods for the Two Point Boundary Problem;

两点边值问题的广义Galerkin法的超收敛性

For the interpolating operator of projection type and the finite element approximations of two point boundary value problems,it is shown that the Lobatto,Gauss and quasi Lobatto points on each subdivision element are superconvergence points for function,one order and two order derivative approximations,respectively.

对一维投影型插值算子和两点边值问题的有限元近似，证明了剖分单元上的Ｌｏｂａｔｏ点、Ｇａｕｓ点和拟Ｌｏｂａｔｏ点分别是函数、一阶和二阶导数逼近的超收敛点，并且在两点算术平均意义下，导出了函数和各阶导数逼近的强超收敛性，即比整体最优收敛阶高出二阶的超收敛性

Pointwise ultraconvergence of collocation solutions of boundary value problems;

边值问题配置算法的逐点强超收敛性

Finally,we introduces a linear collocation method for solving boundary value problems of harmonic equations,and proves that this method possesses ultraconvergence with at least O(h~4) accuracy in the pointwise sense.

最后,介绍了求解调和方程边值问题的线性配置算法,并证明了这种算法具有至少O(h4)精度的逐点强超收敛性。

The ultraconvergence of nodal values of derivatives is obtained for quadratic elements by using it, but only the superconvergence for linear and cubic ones.

Zhu提出了SPR技术 ,利用这种技术 ,对于二次元在被恢复点处获得了导数强超收敛 ,而对一次或三次仅获得了超收敛 。

Analysis for the Superconvergence of Sobolev Equation;

Sobolev型方程的超收敛分析

The Global Stress Superconvergence of the Three-dimensional Wilson Element;

三维Wilson元的整体应力超收敛

The Super-convergence Method for Eigenvalue Problem with Discontinuous Coefficients;

对间断系数特征值问题的超收敛解法

Superconvergence Property of Finite Element Methods for Parabolic Optimal Control Problems

抛物型最优控制问题有限元超收敛性

In this paper, superconvergence in two-dimensional vortex-lattice methods is presented and studied.

本文提出并研究了二维涡格法的超收敛性。

Superconvergence Methods and Splitting Extrapolations for Solving Three-dimensional Axisymmetric Problems;

三维轴对称问题的超收敛算法与分裂外推

The Super-convergence Methods for Solving First Kind Weakly Singular Volterra Integral Equations;

第一类弱奇异Volterra积分方程的超收敛技术

The Superconvergence of Discontinuous Galerkin Methods for Elliptic Equations;

求解椭圆型方程间断有限元方法的超收敛性

On Superconvergence Properties and Postprocess of Finite Element Approximation of Non-smooth Solutions in One Dimensional;

一维非光滑解有限元逼近的超收敛性及后处理

Nonconforming DSP Finite Element VS Anisotropic and Superconvergent Problems;

双参数非协调元VS各向异性和超收敛问题

The Superconvergence Analysis of Some Rectangular Finite Elements on Anisotropic Meshes;

几个各向异性矩形有限元的超收敛分析

Superconvergence of Time Continuous Fully Discrete Finite Element for Parabolic Problem;

抛物问题时间连续全离散有限元的超收敛性

Mixed Finite Element Methods and Superconvergence for Some Optimal Control Problems;

几类最优控制问题的混合元方法及超收敛研究

Superconvergence Analysis for Viscoelastic Equation with Hermite-type Finite Element;

粘弹性方程Hermite型有限元方法的超收敛分析

Superconvergence of Tetrahedral Finite Elements for the Variable Coefficient Elliptic Equation

变系数椭圆方程四面体有限元的超收敛

The Global Superconvergence of Finite Element Method for a Kind of Nonlinear Hypobolic Equation

非线性拟双曲方程有限元方法的整体超收敛

Super-convergence of Three-dimensional Finite Element in Function And Derivative Approximations on Lobatto Points and Gauss Points

Lobatto点和Gauss点处三维有限元函数和导数的超收敛

An Iterative Formula with Super-quadratic Convergence and its Acceleration;

一个超平方收敛的迭代公式及其加速