A Discontinuous Galerkin Surface Integral Equation Method Based Domain Decomposition Method Using the CN/LT Basis Functions

An integral equation domain decomposition method based on discontinuous Galerkin is proposed. The continuity of the induced electrical Current at the boundaries between subdomains is enforced by discontinuous Galerkin penalty term. Elemental-wised CN/LT basis functions are used for expanding induced electrical current. Using CN/LT basis functions results in a much smaller linear system than using L2 basis functions, therefore the linear system obtained by using CN/LT basis functions can be solved more efficiently. Futhermore, the local characteristics of CN/LT basis functions provide the flexibility in geometry modeling and efficiency in mesh generation. The numerical results show good accuracy and the induced current satisfy the continuity condition on the artificial interface between subdomains.