Abstract
The nonconforming voxel finite element method builds a structured grid of nested cube elements. It has been used both with scalar (nodal) and vector (edge) elements. For large problems, iterative methods such as the conjugate gradient method are needed to solve the global matrix equation. Preconditioning the iterative method can greatly decrease the computation time. A geometric multigrid preconditioner is investigated, for the scattering of plane waves by conducting objects, using either a Gauss-Seidel smoother or a smoother that incorporates a projection onto the gradient subspace.
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