Analysis of Partial Modification Problems Using Integral Equation Discontinuous Galerkin With Mesh Modification Algorithm

The method based on the partitioned inverse matrix formula and the Sherman–Morrison–Woodbury formula has been developed to solve the partial modification problems efficiently. However, it requires the meshes of the mother-structure, the add-structure, and the subtract-structure are separated or conformal. It is inconvenient and inflexible for users. In this letter, the integral equation discontinuous Galerkin (IEDG) with a mesh modification algorithm (MMA) is proposed to mitigate this problem. With the help of the IEDG and the MMA, the mother-structure and the add-structure can be meshed independently, and the mesh errors caused by removing the subtract-structure from the mother-structure are reduced. Numerical results are given to demonstrate the advantages of the improved method.