Development of vector basis functions in vector generalized finite element method for inhomogeneous domains

In this paper, we have developed additional basis functions for inhomogenous domains. The basis functions satisfy all the boundary condition requirements. These basis functions are defined on each subdomain and tested using hexahedral elements but they can be readily generalized to any linear subdomains. This enables us to use available meshing structures such that any material discontinuity in PU domain can be handled, and in fact, is the first step in making this method applicable the analysis of practical problems. The performance of the developed basis functions have been tested and validated by simulating eigenmodes of a cavity. Our current research is on application of the VGFEM with the proposed basis functions for practical problems, and these results will be presented at the conference.