  In this paper, we propose a new multilevel power series solution method for
solving a large surface and volume electric field integral equation based
H-Matrix. The proposed solution method converges in a fixed number of
iterations and is solved at each level of the H-Matrix computation.The solution
method avoids the computation of a full matrix, as it can be solved
independently at each level, starting from the leaf level. Solution at each
level can be used as the final solution, thus saving the matrix computation
time for full H-Matrix. The paper shows that the leaf level matrix computation
and solution with power series gives an accurate results as full H-Matrix
iterative solver method. The method results in considerable time and memory
savings compared to the H-Matrix iterative solver. Further, the proposed method
retains the O(NlogN) solution complexity
