The standard two-grid method is a local and parallel method which usually leads to a discontinuous solution in the whole computational domain. 标准的两重网格方法是一种求解二阶椭圆问题的局部并行方法,其计算所得数值解在整个求解区域上并不连续。
Separating the discontinuous solution, the warping function of a cylinder with several radial cracks is expressed by two harmonic functions, then the torsion problem is reduced to solving a set of mixed-type integral equations. 通过间断解的分离,本文将径向多裂纹柱体的扭曲函数用两个调和函数表示,使问题归为解一组混合型积分方程。
Discontinuous phase transition behavior depends on the mole fraction of ionic co-monomer NaMA ( yCo) in hydrogel and concentration of acetone in solution. AAm-NaMA凝胶在丙酮溶液中存在不连续溶胀行为。该特性取决于丙酮在水溶液的浓度以及共聚单体NaMA在凝胶中的含量。
On Discontinuous Period Solution and Discontinuous Solitary Wave of Two-Dimension Shallow Water Equation 二维浅水波方程的间断周期解和间断孤立波解讨论
An artificial viscous term is introduced in the equation to treat the supercritical flow with embeded shock waves and to eliminate the discontinuous solution. 为了处理超临界流和有冲波情况,我们在方程中引入人工粘性项,以消除解中可能出现的不连续性。
When the power index relating the density and Young's modulus satisfies-1 the system can reach discontinuous solution through an unstable continuous solution. 而当r>1时,系统可以经过不稳定的连续解最终达到有序的不连续解。
The discontinuous function solution for crack-shape factor on the surface of duct node 管节点表面裂纹形状因子的间断函数解法
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。
Using the Unified Strength Theory in studying the discontinuous bifurcation phenomenon of elasto-plastic materials, hence the unified explanatory solution of the initial direction angle of discontinuous bifurcation and the corresponding value of the hardening modulus under plane strain condition for non-associate elasto-plastic materials have been obtained. 运用统一强度理论,对弹塑性材料的非连续分叉现象进行了研究,获得了非关联弹塑性材料在平面应变条件下非连续分叉的起始方位角以及相应的硬化模量的统一解析解形式。
Automatically capturing technique of discontinuous solution of Euler equations Euler方程间断解的自动捕捉技术
The algorithm used the stable techniques of Discontinuous Galerkin method and upwind method, etc. to solve such problems as the instability of solution and numerical diffusion. 该数值方法通过使用不连续Galerkin法、上风(upwine)法等稳定性技术来解决数值解的不稳定性问题和数值发散问题。
The global optimization problem with inequality constraints is being considered, a discontinuous penalty function method was applied in this paper to covert the problem into finding the solution of a nonlinear equation. Therefore some global optimal conditions were given. 本文利用不连续罚函数方法将带有不等式约束的全局优化问题的求解转化为讨论一非线性方程的求根问题,从而得到若干个全局最优性条件。
The Discontinuous Non-linear Programming Solution Algorithm with Restrictions for A Category of Objective Function 一类目标函数不连续且带约束的非线性规划求解算法
Using the general monotone iterative method and ordering theory, a class of nonlinear discontinuous set-valued evolution equations is discussed in this paper, some results on the convergence of the iterative solution is obtained. 本文利用广义单调迭代法研究了一类非线性不连续集值发展型方程的数值解法,利用序理论给出其迭代格式,得到了迭代解的收敛性结果。
Shock embedding discontinuous solution of elliptic equation for inverse problem of transonic s_2 flow 含激波跨声速S2流面反问题的椭圆型方程间断解
In this paper, the author proves that, for a non-linear heat conduction equation, there is no discontinuous solution. 文中证明了非线性热传导方程只能有连续解,不可能存在间断解。
Finite volume methods for solving the problem of discontinuous solution 间断解问题的有限体积法
The accomplishing of numerical flux conservation between initial grid and embedded grids highly enhances its reliability and efficiency in capturing discontinuous solution. 原始网格与被嵌入网格之间数值通量守恒的实现增强了该方法在捕捉间断时的有效性和可靠性。
In this paper, we introduce the numerical flux of the LDG method ( local discontinuous Galerkin method) and prove the existence and uniqueness of the LDG numerical solution. 本文采用局部间断有限元方法,给出其数值通量形式并证明了其数值解的存在唯一性。
In the second part, we give the definition of weakly discontinuous solution and study its properties. 第二部分,给出弱间断解的定义并对其性质进行研究。