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Review of the finite-element method for three-dimensional electromagnetic scattering

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Abstract

We review the finite-element method for three-dimensional scattering. A feature of this study is the construction of the weak form of the wave equation for dielectric volumes encompassing impedance and resistive surfaces, thus avoiding the introduction of a variational functional. Formulations based on absorbing boundary conditions, and the boundary integral equation for truncating the mesh, are described, and their corresponding discretization schemes are discussed. We place emphasis on large-scale simulations and solution schemes for achieving low memory requirements and code performance on parallel computing architectures. The results that we present demonstrate the robustness and the versatility of the method for large-scale computations.

© 1994 Optical Society of America

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