The minimum residual interpolation method applied to multiple scattering in MM-PO

We developed the minimum residual interpolation method (MRI). MRI is efficient when the right hand sides depend smoothly on a parameter. The advantage of MRI is the independence of the underlying solution method and the ability to predict the residual without computing a matrix vector product. Once enough right hand sides axe solved, MRI can predict the solutions to the remaining right hand sides. In this paper the versatility of MRI is demonstrated. MRI is applied to the solution of the equations in the method of moment (MM), the physical optics method (PO) and the iterative method of moment-physical optics hybrid (MM-PO). The PO part is formulated as a Galerkin problem. The MM part is handled with an iterative method that uses MLFMM matrix vector multiplication. The coupling between the two regions is also handled with MLFMM. The iteration between MM and PO can be viewed as an iterative block Gauss-Seidel method.