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

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    Type
    Book Chapter
    Authors
    Chen, Huangxin
    Sun, Shuyu cc
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    BAS/1/1351-01-01
    Date
    2020-06-15
    Online Publication Date
    2020-06-15
    Print Publication Date
    2020
    Embargo End Date
    2021-07-02
    Permanent link to this record
    http://hdl.handle.net/10754/664202
    
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    Abstract
    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.
    Citation
    Chen, H., & Sun, S. (2020). An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media. Computational Science – ICCS 2020, 205–216. doi:10.1007/978-3-030-50436-6_15
    Sponsors
    The work of Huangxin Chen was supported by the NSF of China (Grant No. 11771363, 91630204, 51661135011), the Fundamental Research Funds for the Central Universities (Grant No. 20720180003). The work of Shuyu Sun was supported by King Abdullah University of Science and Technology (KAUST) through the grant BAS/1/1351-01-01.
    Publisher
    Springer Nature
    Journal
    Computational Science – ICCS 2020
    ISBN
    9783030504359
    9783030504366
    DOI
    10.1007/978-3-030-50436-6_15
    PubMed Central ID
    PMC7304701
    Additional Links
    http://link.springer.com/10.1007/978-3-030-50436-6_15
    ae974a485f413a2113503eed53cd6c53
    10.1007/978-3-030-50436-6_15
    Scopus Count
    Collections
    Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab; Book Chapters

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