A new nonconforming finite element with a conforming finite element approximation for a coupled continuum pipe-flow/Darcy model in Karst aquifers

作者：Liu, Wei^*; Long, Xiaohan

来源：Numerical Methods for Partial Differential Equations, 2016, 32(3): 778-798.

DOI：10.1002/num.22026

• coupled continuum pipe-flow
• Darcy model
• Karst aquifers
• nonconforming finite element
• numerical analysis

Numerical method is considered for a coupled continuum pipe-flow/Darcy model describing flow in porous media with an embedded conduit pipe. A new nonconforming element is constructed to solve the Darcy equation on porous matrix. The existence and uniqueness of the approximation solution are deduced. Optimal error estimates are obtained in L-2 and H-1 norms. Some numerical examples showthe accuracy and efficiency of the presented method. With the same number of nodal-points and the same amount of computation, the results using the new nonconforming element are much better than those by both Q(1),(1) conforming element and Wilson nonconforming element on the same mesh.

• 出版日期2016-5
• 单位鲁东大学