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CREEM2020
CREEM2020
APLICAÇÃO DO MÉTODO DOS ELEMENTOS FINITOS DE MÍNIMOS QUADRADOS-LSFEM NA RESOLUÇÃO DA EQUAÇÃO DE DIFUSÃO
Submission Author:
Sabrina dos Santos Ferreira , SP
Co-Authors:
Sabrina dos Santos Ferreira
Presenter: Sabrina dos Santos Ferreira
doi://10.26678/ABCM.CREEM2020.CRE2020-0006
Abstract
The objective of this study was to apply the least-squares finite element method (LSFEM) to solve the diffusion equation in a permanent and transient regime. The Crank-Nicolson method was used to discretize time, the Gauss- Legendre square was used to calculate the integrals. For the solution of the algebraic system, the conjugated gradients method was used, since the matrix is symmetrical, sparse and positively defined, characteristics resulting from the formulation via LSFEM. To obtain the results a code in C language was implemented, the error obtained when comparing the analytical solution with the numerical solution for the case in permanent regime was ~ 0.23% and for the case in transient regime, it was ~ 1%.
Keywords
Least Square Finite Element Method (LSFEM), Diffusion equation, Crank-Nicolson Method, Gauss-Legendre Quadrature, Conjugated Gradient Method.
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