论文标题
抛物线热方程有限元方法的变体：比较数值研究
Variants of the Finite Element Method for the Parabolic Heat Equation: Comparative Numerical Study
论文作者
论文摘要
加权剩余有限元方法的不同变体用于获取抛物线热方程的解决方案，该方程被认为是稳态Navier-Stokes方程的模型方程。结果表明，搭配和最小二乘变体更适合一阶系统。结果还表明，Galerkin/最小二乘方法比其他方法更具扩散性，因此为广泛的Péclet数字提供了稳定的解决方案。
Different variants of the method of weighted residual finite element method are used to get a solution for the parabolic heat equation, which is considered to be the model equation for the steady state Navier-Stokes equations. Results show that the Collocation and the Least-Squares variants are more suitable for first order systems. Results also show that the Galerkin/Least-Squares method is more diffusive than other methods, and hence gives stable solutions for a wide range of Péclet numbers.
