A generalized Calderón preconditioner for the Electric Field Integral Equation

Among all integral equations pertinent to the analysis of scattering from three-dimensional perfect electrically conducting surfaces, the Electric Field Integral Equation (EFIE) remains the most widely used. This work proposes a Calderon preconditioner that, similarly to its CMPs predecessors, is multiplicative, applicable to open and closed structures, straightforward to implement, and easily interfaced with existing boundary element codes. In contrast to all previous approaches, the proposed method is algebraic in nature, does not require the explicit construction of dual basis elements, and applies to the case of arbitrary meshes, orders, and basis functions. Numerical results demonstrate that the matrix equations obtained using the proposed preconditioner converge rapidly, independent of the discretization density.