热传导方程Neumann-Robin混合边值问题的AGE方法

针对热传导方程在Neumann-Robin混合边界条件下的定解问题给出AGE方法,证明了这一方法的无条件稳定性.数值实验展示了方法的稳定性与精度.

基于Robin界面条件的非重叠区域分解法

描述了一个Neumann模型问题,分析其基于Robin边界条件的非重叠型加性区域分解法.在使用可变参数循环的情况下,给出了算法的微分和有限元离散两种形式及其收敛性质.数值结果表明,适当选取Robin参数,可大大加快算法的收敛速度.

两点边值问题的三类边值条件的有限元解法实现

文章研究二阶微分方程的两点边值问题,使用有限元方法对三类不同的边值条件具体进行讨论和处理。对于可齐次化的Dirichlet、Neumann边值,给出相应分析以简化和规范计算步骤。对于Robin边值,基于之前的分析给出实现技巧以达到有效的数值模拟。

Global Existence of Solutions of the Gierer-Meinhardt System with Mixed Boundary Conditions

We study the global (in time) existence of nonnegative solutions of the Gierer-Meinhardt system with mixed boundary conditions. In the research, the Robin boundary and Neumann boundary conditions were used on the activator and the inhibitor conditions respectively. Based on the priori estimates of solutions, the considerable results were obtained.

Poisson方程的L^(p)理论

本文对于Poisson方程的Dirichlet问题(第一边值问题)、Neumann问题(第二边值问题)和Robin问题(第三边值问题),给出一个简单而统一的方法来得到解的全局L^(p)-估计(或称为Calderon-Zygmund估计).这个方法的核心是基本的L^(2)-估计和对于解的二阶偏导数的分布函数的精细分解.

EXISTENCE OF POSITIVE SOLUTIONS TO A ROBIN BOUNDARY VALUE PROBLEM FOR A CLASS QUASILINEAR ORDINARY DIFFERENTIAL EQUATIONS

In this paper, out main purpose is to establish the existence of nonnegative solu-tions for a class quasilinear ordinary differential equation by modifying the method ofAnuradha et al. [4]. The main results in present paper are new and extend the resultsof the [4].