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arXiv · 2005.11860

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

Ahmed A. Hamada·Mahmoud Ayyad·Amr Guaily
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Abstract

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 P\'eclet numbers.

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Ahmed A. Hamada, Mahmoud Ayyad, Amr Guaily. 2020-05-24. Variants of the Finite Element Method for the Parabolic Heat Equation: Comparative Numerical Study. https://doi.org/10.1007/978-3-030-39847-7

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