Anisotropic Wilson element with conforming finite element approximation for a coupled continuum pipe-flow/Darcy model in Karst aquifers

作者：Liu, Wei^*; Zhao, Qingli; Li, Xindong; Li, Jin

来源：Mathematical Methods in the Applied Sciences, 2015, 38(17): 4024-4037.

DOI：10.1002/mma.3341

• Karst aquifers
• Wilson element
• anisotropic mesh
• coupled continuum pipe-flow/Darcy model
• numerical analysis

Numerical method for a coupled continuum pipe-flow/Darcy model describing flow in porous media with an embedded conduit pipe is considered. Wilson element on anisotropic mesh is used to solve the Darcy equation on porous matrix. The existence and uniqueness of the approximation solution are obtained. Optimal error estimates in L-2 and H-1 norms are established independent of the regularity condition on the mesh. Numerical examples show the efficiency of the presented scheme. With the same number of nodal points, the results using Wilson element on anisotropic mesh are much better than those of the same element and Q(1) element on regular mesh.

• 出版日期2015-11-30
• 单位山东建筑大学; 鲁东大学