An Expanded Mixed Finite Element Method for Space Fractional Darcy Flow in Porous Media.
Type
Book ChapterAuthors
Chen, HuangxinSun, Shuyu
KAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
BAS/1/1351-01-01Date
2020-06-15Online Publication Date
2020-06-15Print Publication Date
2020Permanent link to this record
http://hdl.handle.net/10754/664202Metadata
Show full item recordAbstract
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_15Sponsors
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 NatureISBN
97830305043599783030504366