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

Huangxin Chen; Shuyu Sun

doi:10.1007/978-3-030-50436-6_15

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

Huangxin Chen, Shuyu Sun

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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.

Original language	English (US)
Title of host publication	Computational Science – ICCS 2020
Publisher	Springer International Publishing
Pages	205-216
Number of pages	12
ISBN (Print)	9783030504359
DOIs	https://doi.org/10.1007/978-3-030-50436-6_15
State	Published - Jul 2 2020

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): BAS/1/1351-01-01
Acknowledgements: 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.

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10.1007/978-3-030-50436-6_15

https://repository.kaust.edu.sa/bitstream/10754/664202/1/an%20expanded.pdf

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title = "An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media.",

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.",

author = "Huangxin Chen and Shuyu Sun",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): BAS/1/1351-01-01 Acknowledgements: 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.",

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doi = "10.1007/978-3-030-50436-6_15",

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N2 - 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.

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

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