4.5 Article

A Decoupling Two-Grid Algorithm for the Mixed Stokes-Darcy Model with the Beavers-Joseph Interface Condition

Journal

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 30, Issue 3, Pages 1066-1082

Publisher

WILEY
DOI: 10.1002/num.21860

Keywords

Stokes-Darcy problem; Beavers-Joseph interface condition; decoupling; two-grid method

Funding

  1. NSFC [11171269, 11201369]
  2. PhD Programs Foundation of Ministry of Education of China [20110201110027]
  3. Fundamental Research Funds for the Central Universities [08142003, 08143007]

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In this article, a decoupling scheme based on two-grid finite element for the mixed Stokes-Darcy problem with the Beavers-Joseph interface condition is proposed and investigated. With a restriction of a physical parameter , we derive the numerical stability and error estimates for the scheme. Numerical experiments indicate that such two-grid based decoupling finite element schemes are feasible and efficient. (c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 1066-1082, 2014

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