A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem

In this study, we devote ourselves to establishing a stabilized mixed finite element (MFE) reduced-order extrapolation (SMFEROE) model holding seldom unknowns for the two-dimensional (2D) unsteady conduction-convection problem via the proper orthogonal decomposition (POD) technique, analyzing the ex...

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Detalles Bibliográficos
Autores principales: Xia, Hong, Luo, Zhendong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5488046/
https://www.ncbi.nlm.nih.gov/pubmed/28680227
http://dx.doi.org/10.1186/s13660-017-1399-7
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author Xia, Hong
Luo, Zhendong
author_facet Xia, Hong
Luo, Zhendong
author_sort Xia, Hong
collection PubMed
description In this study, we devote ourselves to establishing a stabilized mixed finite element (MFE) reduced-order extrapolation (SMFEROE) model holding seldom unknowns for the two-dimensional (2D) unsteady conduction-convection problem via the proper orthogonal decomposition (POD) technique, analyzing the existence and uniqueness and the stability as well as the convergence of the SMFEROE solutions and validating the correctness and dependability of the SMFEROE model by means of numerical simulations.
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spelling pubmed-54880462017-07-03 A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem Xia, Hong Luo, Zhendong J Inequal Appl Research In this study, we devote ourselves to establishing a stabilized mixed finite element (MFE) reduced-order extrapolation (SMFEROE) model holding seldom unknowns for the two-dimensional (2D) unsteady conduction-convection problem via the proper orthogonal decomposition (POD) technique, analyzing the existence and uniqueness and the stability as well as the convergence of the SMFEROE solutions and validating the correctness and dependability of the SMFEROE model by means of numerical simulations. Springer International Publishing 2017-05-30 2017 /pmc/articles/PMC5488046/ /pubmed/28680227 http://dx.doi.org/10.1186/s13660-017-1399-7 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Xia, Hong
Luo, Zhendong
A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem
title A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem
title_full A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem
title_fullStr A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem
title_full_unstemmed A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem
title_short A stabilized MFE reduced-order extrapolation model based on POD for the 2D unsteady conduction-convection problem
title_sort stabilized mfe reduced-order extrapolation model based on pod for the 2d unsteady conduction-convection problem
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5488046/
https://www.ncbi.nlm.nih.gov/pubmed/28680227
http://dx.doi.org/10.1186/s13660-017-1399-7
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AT xiahong stabilizedmfereducedorderextrapolationmodelbasedonpodforthe2dunsteadyconductionconvectionproblem
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