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

dc.contributor.authorChen, Huangxin
dc.contributor.authorSun, Shuyu
dc.date.accessioned2020-07-15T05:43:48Z
dc.date.available2020-07-15T05:43:48Z
dc.date.issued2020-06-15
dc.identifier.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
dc.identifier.isbn9783030504359
dc.identifier.isbn9783030504366
dc.identifier.issn0302-9743
dc.identifier.issn1611-3349
dc.identifier.doi10.1007/978-3-030-50436-6_15
dc.identifier.urihttp://hdl.handle.net/10754/664202
dc.description.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.
dc.description.sponsorshipThe 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.
dc.publisherSpringer Nature
dc.relation.urlhttp://link.springer.com/10.1007/978-3-030-50436-6_15
dc.rightsArchived with thanks to Computational Science – ICCS 2020
dc.titleAn Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media.
dc.typeBook Chapter
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalComputational Science – ICCS 2020
dc.identifier.pmcidPMC7304701
dc.rights.embargodate2021-07-02
dc.eprint.versionPost-print
dc.contributor.institutionSchool of Mathematical Sciences and Fujian Provincial Key Laboratory on Mathematical Modeling and High Performance Scientific Computing, Xiamen University, Fujian, 361005, China
dc.identifier.volume12143 LNCS
dc.identifier.pages205-216
kaust.personChen, Huangxin
kaust.personSun, Shuyu
kaust.grant.numberBAS/1/1351-01-01
dc.identifier.eid2-s2.0-85087283122
refterms.dateFOA2020-07-15T13:39:43Z
dc.date.published-online2020-06-15
dc.date.published-print2020


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