An H2-matrix-based integral-equation solver of linear complexity for large-scale electromagnetic analysis

State-of-the-art integral-equation based computational electromagnetic methods rely on techniques that can perform a matrix-vector multiplication in O(NlogN) operations, with N being the matrix size. In this work, a fast integral-equation-based solver was developed for solving large-scale electrodynamic problems. Both memory consumption and time complexity were shown to be O(N). The superior performance applies to any arbitrarily shaped 3D structure. Numerical results demonstrate its accuracy and efficiency.