Efficient calculation of coupling matrices for a decoupled FE/BIE formulation

This paper presents an efficient method for calculating coupling matrices that occur in a decoupled hybrid finite element / boundary integral equation (FE/BIE) system. These coupling matrices represent projections from basis functions of one domain to basis functions of an other domain. Based on a technique for evaluating singular integrals over polyhedral domains, it becomes possible to calculate the projection integrals analytically, instead of relying on quadrature integration rules. It is shown that this reduces the CPU-time, whereas the accuracy remains correct up to machine precision.