An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media

In this paper an expanded mixed formulation is introduced to solve the two dimensional space fractional Darcy flow in porous media. By introducing an auxiliary vector, we derive a new mixed formulation and the well-possedness of the formulation can be established. Then the locally mass-conservative...

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Detalles Bibliográficos
Autores principales: Chen, Huangxin, Sun, Shuyu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7304701/
http://dx.doi.org/10.1007/978-3-030-50436-6_15
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author Chen, Huangxin
Sun, Shuyu
author_facet Chen, Huangxin
Sun, Shuyu
author_sort Chen, Huangxin
collection PubMed
description In this paper an expanded mixed formulation is introduced to solve the two dimensional space fractional Darcy flow in porous media. By introducing an auxiliary vector, we derive a new mixed formulation and the well-possedness of the formulation can be established. Then the locally mass-conservative expanded mixed finite element method is applied for the solution. Numerical results are shown to verify the efficiency of the proposed algorithm.
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spelling pubmed-73047012020-06-22 An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media Chen, Huangxin Sun, Shuyu Computational Science – ICCS 2020 Article In this paper an expanded mixed formulation is introduced to solve the two dimensional space fractional Darcy flow in porous media. By introducing an auxiliary vector, we derive a new mixed formulation and the well-possedness of the formulation can be established. Then the locally mass-conservative expanded mixed finite element method is applied for the solution. Numerical results are shown to verify the efficiency of the proposed algorithm. 2020-05-25 /pmc/articles/PMC7304701/ http://dx.doi.org/10.1007/978-3-030-50436-6_15 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Chen, Huangxin
Sun, Shuyu
An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media
title An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media
title_full An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media
title_fullStr An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media
title_full_unstemmed An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media
title_short An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media
title_sort expanded mixed finite element method for space fractional darcy flow in porous media
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7304701/
http://dx.doi.org/10.1007/978-3-030-50436-6_15
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