Browsing by Author "Chung, Eric"

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Some DG schemes for the Stokes-Darcy problem using P1/P1 element
(2019-09-01)
Zhou, Guanyu
;
Kashiwabara, Takahito
;
Oikawa, Issei
;
Chung, Eric
;
Shiue, Ming-Cheng
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.