关键词: 有限元方法, 偏微分方程, 数值模拟

Abstract: In the fields of computational mathematics and engineering, finite element method is an important numerical method which can effectively solve partial differential equations. However, when students begin to learn the finite element method, they will encounter many difficulties in both theoretical analysis and programming. Therefore, how can students quickly and efficiently learn the core content of finite element method? How to master the numerical simulation program design of finite element method quickly? Combined with the author's learning and teaching experience, this paper summarizes the teaching of finite element course by taking the simplest problem as an example.

Key words: Finite element method, Partial differential equation, Numerical simulation