两点边值问题的三类边值条件的有限元解法实现

Finite Element Method of Three Kinds of Boundary Conditions for Two-point Boundary Value Problem

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。

A two-point boundary value problem of the second-order ordinary differential equation is studied in this paper, andafinite element method is used to deal with three kinds of boundary conditions in detail. The corresponding analysis is provided tosimplify and standardize the steps for the homogeneous Dirichlet, Neumann boundary values. For the Robin boundary value, we utilizethe previous analyses to present a specific strategy for a good performance in numerical simulations.