Some DG schemes for the Stokes–Darcy problem using P1/P1 element

Guanyu Zhou*, Takahito Kashiwabara, Issei Oikawa, Eric Chung, Ming-Cheng Shiue

*Corresponding author for this work

Research output: Contribution to journalArticle


We propose two new DG schemes based on the penalty and Nitsche’s methods respectively for the Stokes–Darcy problem, where we adopt the P1/P1 elements for both the Stokes and Darcy’s velocity/pressure. The well-posedness and a-priori estimates for the discrete solutions are established. The convergence order is elucidated by the numerical experiments.

Original languageEnglish
Pages (from-to)1101-1128
JournalJapan Journal of Industrial and Applied Mathematics
Issue number3
StateAccepted/In press - 1 Jan 2019


  • Discontinuous Galerkin method
  • Finite element method
  • Penalty method
  • Stokes–Darcy problem

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