2006 Volume 2006 Pages 20060014
The finite cover method (FCM), which is known as one of the generalized versions of the finite element methods (FEM), and enjoys so-called generalized elements that partially have physical domains. We examine the finite cover approximations for imposing interface compatibility conditions in the generalized elements by introducing a sort of patch tests for a finite cover mesh with an interface. First, we present the formulation of the FCM together with three kinds of interface connection methods for generalized elements; the penalty method (PM), the Lagrange multiplier method and the discontinuous Galerkin method (DGM). Secondly, the patch tests specialized to the FCM are carried out to assess the accuracy of finite cover approximations with respect to both the magnitude of penalty parameters in PM and DGM and the order of interpolation functions for the Lagrange multipliers.
