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High-order absorbing boundary conditions for the meshless radial point interpolation method in the frequency domain
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics. (UMIT)
2013 (English)In: International journal of numerical modelling, ISSN 0894-3370, E-ISSN 1099-1204, Vol. 26, no 5, 478-492 p.Article in journal (Refereed) Published
Abstract [en]

The meshless radial point interpolation method (RPIM) in frequency domain for electromagnetic scattering problems is presented. This method promises high accuracy in a simple collocation approach using radial basis functions. The treatment of high-order non-reflecting boundary conditions for open waveguides is discussed and implemented up to fourth-order. RPIM allows the direct calculation of high-order spatial derivatives without the introduction of auxiliary variables. High-order absorbing boundary conditions offer a choice of absorbing angles for each degree of spatial derivatives. For general applications, a set of these absorbing angles is calculated using global optimization. Numerical experiments show that at the same computational cost, the numerical reflections of the absorbing boundary conditions are much lower than conventional perfectly matched layers, especially at high angles of incidence.

Place, publisher, year, edition, pages
2013. Vol. 26, no 5, 478-492 p.
Keyword [en]
absorbing boundary conditions, radial point interpolation, finite-difference methods, radial basis functions, meshless methods, frequency domain modeling
National Category
Computational Mathematics
URN: urn:nbn:se:umu:diva-79883DOI: 10.1002/jnm.1882ISI: 000322628200006OAI: diva2:646000
Available from: 2013-09-06 Created: 2013-09-04 Last updated: 2016-09-22Bibliographically approved

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Engström, Christian
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