space-time element

Space-time Finite Element Analysis for Heat Conduction via Object-oriented Approach

面向对象的热传导时空有限元分析

The resultant nonlinear algebraic equations via space-time finite element discretization of Navier-Stokes equations are iteratively solved using Newton-Raphson method. At each iterative substep, the linear equations are solved using iterative GMRES solver.

基于有限元离散得到的非线性代数方程组用Newton-Raphson方法迭代求解，在子迭代步的线性方程组采用GMRES算法求解。

Research results: The analysis process of frame bridge with skew angle has been given by use of MIDAS. We obtained the outcomes from two models and the difference between results with 2D rigid frame and 3D space model of thick plate element.

研究结果：给出了用MIDAS分析斜交框架桥的详细分析过程，得出斜交框架桥三维空间模型和二维平面模型分析的结果，并得出2种模型计算结果的差别。

The hp-version Space-time Discontinuous Finite Element Methods for Parabolic Equations

抛物方程的hp间断时空有限元方法

A refined space-time finite element method with moving grid for the parabolic equation;

本文讨论了一类半线性抛物型积分微分方程的间断时空有限元方法。

Application of the Space-Time Conservation Element and Solution Element Method to the Simulation of Two-Phase Flow in Igniter

CE/SE方法在点火管一维两相流数值计算中的应用

There is relative complementary in space key element and developed area;

空间要素方面与发达区域却有着相对的互补性；

Convergence of Space-time discontinuous finite element of one-order hyperbolic systems

一阶双曲型方程组的时空间断全离散有限元的收敛性

A space-time finite element collocation method for moving boundary problems

活动边界问题的时-空有限元配位法

The Mixed Discontinuous Space-Time Finite Element Method for the fourth order linear parabolic equation with generalized boundary condition

带广义边界条件的四阶抛物型方程的混合间断时空有限元法

The Space-Time Finite Element Method for Linear Parabolic Problem with Singularity

奇异线性抛物问题的时空有限元方法

It helps to clear away the local system obstacle, to create mobile space for key element among regions, to establish division of labor and cooperative relation in different areas, and to combine the transregional local relation through coordinating transregional local policy.

通过跨区域地方政策协调，有利于扫清地方体制障碍，创造区域间要素的无障碍流动空间，建立各地区分工协作关系，整合跨区域地方关系。

Unsteady Flow Analysis and Inverse Design of Airfoils Via a New Variable-Domain Variational Space-Time Finite Element Method

基于变域变分全时空有限元的翼型非定常流正、反命题研究

A space-time spline element based on Gurtin-type principles

基于卷积型原理的时空样条元

The space-time linear element of gravitational field in linear accelerated system is derived, from which the classical kinematics formulae are obtained.

推导出直线加速参考系中的引力场的时空线元，并由此得到牛顿引力理论中的经典运动学公式。

The two-dimensional Navier-Stokes equations are numerically solved using Space-time FEM/ Galerkin Least Squares method. In space-time formulations, finite element method is employed for both temporal and spatial discretization, which proves to be effective for solving moving boundary problems.

本文所采用的数值方法是时空有限元／伽辽金最小二乘法，该方法的特点是时间维和空间维均采用有限元方法进行离散，因而可以处理动边界、动网格问题。

The Space-Time Conservation Element and Solution Element ( CE/ SE) method is a high-resolution numerical method.

时空守恒元和解元方法（CE/SE）是一种高精度的数值求解方法。

For each fourth order parabolic equations, the mixed discontinuous space-time finite element scheme is constructed by lowering the order of the equation by mixed finite element. And the equation is discretized by space-time finite element method, continuous in space but discontinuous in time.

对每个方程构造了混合时间间断时空有限元格式，利用混合有限元方法将高阶方程降阶，利用空间连续而时间允许间断的时空有限元方法离散方程。

The applications of space-time finite element method in large deformation and active vibration control are initially discussed.

本文对时空有限元中较为深入的两个问题，即动力大变形问题及振动控制问题进行了探讨。

First of all, with thrice Hermite interpolation to element displacement, the control equation of dynamics is derived in space-time domain. Two groups of space-time finite element formulae solving displacement and velocity are obtained.

作者首先对单元位移采用时域上三次Hermite插值多项式，在空间域和时间域中联合离散控制方程，分别推导出了动力学问题的两组递推公式，以求解位移和速度。

Space-time Finite Element Method for Transient Heat Conduction Equation

瞬态热传导方程的时空有限元法

Discontinuous space-time finite element methods deal with the spatial and the temporal variables conformably. Thus high orders of accuracy in both dircetions are achieved.

间断时空有限元方法统一时间和空间变量，在时间和空间的两个方向同时发挥有限元方法的优势，实现了时、空两个方向的高精度。

The space-time discontinuous finite element method for a semi-linear parabolic integro-differential equation

半线性抛物型积分微分方程的间断时空有限元方法

Based on the idea of the space-time conservation element and solution element ( CE/ SE) method, a new CE/ SE method was constructed for solving this two-dimensional equations of jet flow.

依据CE/SE方法的思想，推导了二维CE/SE算法，用于数值计算传火孔射流场复杂波系的产生、演变与发展的过程。

Compare to the conventional finite element method and common-used time integration methods, the space-time finite element method has some advantages in precision and stability.

与传统的有限单元法和常用的时间积分法相比，时空有限元在精度和稳定性方面具有一定的优越性。

Because of the calculation difficulty when solving the dynamic problems, development of the efficient algorithm for the dynamic differential equations is always an important research and the space-time finite element method can provide a feasible approach to it.

由于求解动力学问题时计算繁琐且有误差累积，因此，开发出求解动力学微分方程的有效算法一直是一个重点的研究方向，而时空有限元法可以为此提供一条可行的途径。

The discontinuous space-time finite element methods, that is, approximating functions is discontinuous at the nodes of partition in time, is considered for a parabolic integro-differential equations, and the theoretic analysis of the finite element solution is given.

本文利用间断时空有限元方法，即允许近似函数在节点处是间断的，研究了抛物型积分微分方程。

In this paper, algorithm and applications of time-continuous space-time finite element method for dynamics are researched on the base of Hamilton law of varying action.

本文基于Hamilton变作用定律，研究了时域协调的动力时空有限元算法。

The Discontinuous Space-Time Finite Element Method for Two-dimensional Quasilinear Parabolic Equation with Singularities

二维拟线性奇异抛物问题的时空间断有限元法

So, space-time finite element method should be taken in discretization.

由此，必须采用全时空有限元法。