A mortar method based on NURBS for curve interfaces

摘要

In order to tackle general sub-domains problems in geomechanics, a MFEM- scheme on curve interfaces based on NURBS curves is presented in this paper. The goal is having a more robust geometrical representation for mortar spaces, which allows gluing non-conforming interfaces on realistic geometries. The resulting mortar saddle-point problem is decoupled by means of standard Domain Decomposition techniques such as Dirichlet-Neumann and Neumann-Neumann, in order to exploit current parallel machine architectures. Examples ranging from near-wellbore applications to field level subsidence computations show that the proposed scheme can handle problems of practical interest. Extensions to three-dimensional problems are also discussed.