Variants of the Finite Element Method for the Parabolic Heat Equation: Comparative Numerical Study

05/24/2020

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by   Ahmed A. Hamada, et al.

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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.