These lecture notes for a graduate course present an introduction to the mathematical theory of finite element methods for the numerical solution of partial differential equations. Covered are conforming and nonconforming (in particular, discontinuous Galerkin and mixed methods) for elliptic partial differential equations and Galerkin methods for parabolic equations.

翻译：研究生课程的这些讲课说明介绍了部分差异方程式数字解决方案的有限元素方法数学理论,所包括的对等和对等(特别是不连续的加列尔金和混合法)对椭圆部分差异方程式和对立方程式的加列金方法不兼容和不兼容(特别是不连续的加列尔金和混合法)。