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 proceedingChapter

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 languageEnglish (US)
Title of host publicationComputational Science – ICCS 2020
PublisherSpringer International Publishing
Pages205-216
Number of pages12
ISBN (Print)9783030504359
DOIs
StatePublished - Jul 2 2020

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