Application of nested multigrid finite elements to two-dimensional electromagnetic scattering

Nested multigrid techniques are combined with the finite-element method for the fast numerical solution of two-dimensional electromagnetic scattering problems. The finite-element modeling is performed on nested meshes of the same computational domain. The conjugate-gradient method is used to solve the resultant finite-element matrix for the finest mesh, while the multigrid method acts as the preconditioner of the iterative solver. Numerical experiments are used to demonstrate the efficiency as well as the limits of the proposed methodology. (C) 2001 John Wiley & Sons, Inc.