[HTML][HTML] H (div) conforming finite element methods for the coupled Stokes and Darcy problem
Y Chen, F Huang, X Xie - Journal of computational and applied …, 2011 - Elsevier
Y Chen, F Huang, X Xie
Journal of computational and applied mathematics, 2011•ElsevierThis paper proposes and analyzes a numerical method for solving the coupled Stokes and
Darcy problem, an interface problem between a fluid, governed by Stokes equations, and a
flow in a porous medium, governed by Darcy equations. The method employs H (div)
conforming finite elements for the velocity field in both Stokes and Darcy subdomains.
Optimal-order error estimates are established.
Darcy problem, an interface problem between a fluid, governed by Stokes equations, and a
flow in a porous medium, governed by Darcy equations. The method employs H (div)
conforming finite elements for the velocity field in both Stokes and Darcy subdomains.
Optimal-order error estimates are established.
This paper proposes and analyzes a numerical method for solving the coupled Stokes and Darcy problem, an interface problem between a fluid, governed by Stokes equations, and a flow in a porous medium, governed by Darcy equations. The method employs H (div) conforming finite elements for the velocity field in both Stokes and Darcy subdomains. Optimal-order error estimates are established.
Elsevier
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