Spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the Finite Element Method

This 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 possib...

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Autores principales: Neto, Augusto Badke, Mansur, Webe João, Ferreira, Walnório Graça
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9640574/
https://www.ncbi.nlm.nih.gov/pubmed/36344557
http://dx.doi.org/10.1038/s41598-022-23185-x
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author Neto, Augusto Badke
Mansur, Webe João
Ferreira, Walnório Graça
author_facet Neto, Augusto Badke
Mansur, Webe João
Ferreira, Walnório Graça
author_sort Neto, Augusto Badke
collection PubMed
description This 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).
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spelling pubmed-96405742022-11-15 Spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the Finite Element Method Neto, Augusto Badke Mansur, Webe João Ferreira, Walnório Graça Sci Rep Article This 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). Nature Publishing Group UK 2022-11-07 /pmc/articles/PMC9640574/ /pubmed/36344557 http://dx.doi.org/10.1038/s41598-022-23185-x Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Neto, Augusto Badke
Mansur, Webe João
Ferreira, Walnório Graça
Spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the Finite Element Method
title Spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the Finite Element Method
title_full Spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the Finite Element Method
title_fullStr Spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the Finite Element Method
title_full_unstemmed Spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the Finite Element Method
title_short Spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the Finite Element Method
title_sort spurious oscillations reduction in transient diffusion and wave propagation problems discretized with the finite element method
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9640574/
https://www.ncbi.nlm.nih.gov/pubmed/36344557
http://dx.doi.org/10.1038/s41598-022-23185-x
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AT ferreirawalnoriograca spuriousoscillationsreductionintransientdiffusionandwavepropagationproblemsdiscretizedwiththefiniteelementmethod

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