Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity
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- Wheeler, M., Xue, G. & Yotov, I. Comput Geosci (2014) 18: 57. doi:10.1007/s10596-013-9382-y
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We study the numerical approximation on irregular domains with general grids of the system of poroelasticity, which describes fluid flow in deformable porous media. The flow equation is discretized by a multipoint flux mixed finite element method and the displacements are approximated by a continuous Galerkin finite element method. First-order convergence in space and time is established in appropriate norms for the pressure, velocity, and displacement. Numerical results are presented that illustrate the behavior of the method.