Author:
Neto Augusto Badke,Mansur Webe João,Ferreira Walnório Graça
Abstract
AbstractThis work presents a new method, the SOR_FEM, spurious oscillation reduction-FEM, that uses analytical solutions of simple problems to find numerical solutions of more complex problems to reduce the spurious oscillations that occur due to solution discontinuity. With the proposed method it is possible to find numerical solutions without spurious oscillations of problems submitted to impulsive point sources without using any approximation for the Dirac delta function. To validate the proposed method, linear problems of heat diffusion and wave propagation in homogeneous and heterogeneous media are solved with the Finite Element Method (FEM).
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico,Brazil
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro
Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro,Brazil
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Petrobras
Publisher
Springer Science and Business Media LLC