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Global boundary conditions and fast Helmholtz solvers
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
1989 (English)In: IEEE transactions on magnetics, ISSN 0018-9464, E-ISSN 1941-0069, Vol. 25, no 4, 2804-2806 p.Article in journal (Refereed) Published
Abstract [en]

Electromagnetic scattering from a conducting two-dimensional cylinder is modeled by solving Helmholtz's equation with the far-field radiation boundary condition replaced by a global boundary condition allowing. This allows the boundary condition to be applied very near the scatterer. The discrete problem is solved by a biconjugate gradient algorithm. IncompleteLUdecomposition is used as a preconditioning strategy, resulting in very fast convergence. The numerical solution is compared with known solutions and found to converge fasters forka⩽10, wherekis the wave number andais the radius of the cylinder

Place, publisher, year, edition, pages
1989. Vol. 25, no 4, 2804-2806 p.
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Computer and Information Science
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URN: urn:nbn:se:kth:diva-90500DOI: 10.1109/20.34290OAI: oai:DiVA.org:kth-90500DiVA: diva2:505740
Note
NR 20140805Available from: 2012-02-24 Created: 2012-02-24 Last updated: 2017-12-07Bibliographically approved

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