An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media.
KAUST DepartmentComputational Transport Phenomena Lab
Earth Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant NumberBAS/1/1351-01-01
Online Publication Date2020-06-15
Print Publication Date2020
Embargo End Date2021-07-02
Permanent link to this recordhttp://hdl.handle.net/10754/664202
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AbstractIn 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.
CitationChen, 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
SponsorsThe 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.
PubMed Central IDPMC7304701