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# Numerical Simulation of 3D Electromagnetic Scattering by Algebraic Fictitious Domain Method

Abstract : New variants of algebraic fictitious domain method are proposed for solution of the 3D~Helmholtz and Maxwell equations in unbounded domains with the Sommerfeld radiation condition at infinity. They are based on: \begin{itemize} \item the use of an infinite uniform Cartesian mesh (maybe, locally fitted to an obstacle) for finite-difference or finite-element approximation; \item nonsymmetric version of fictitious domain method for solution of a resulting mesh system; \item calculation of the partial solution during the iterative process via summation of mesh Green functions with corresponding weights, using a fast algorithm; \item a special way of construction of the approximate mesh Green function satisfying the radiation condition.
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https://hal.inria.fr/inria-00073965
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Submitted on : Wednesday, May 24, 2006 - 2:11:23 PM
Last modification on : Friday, February 4, 2022 - 3:19:33 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:10:08 PM

### Identifiers

• HAL Id : inria-00073965, version 1

### Citation

Alexandre Bespalov. Numerical Simulation of 3D Electromagnetic Scattering by Algebraic Fictitious Domain Method. [Research Report] RR-2729, INRIA. 1995. ⟨inria-00073965⟩

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