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Adaptive meshless methods in electromagnetic modeling: a gradient-based refinement strategy
University of Adelaide, Australia.
ETH Zurich, Switzerland.
University of Adelaide, Australia.
2011 (English)In: European Microwave Week 2011: "Wave to the Future", EuMW 2011, Conference Proceedings - 41st European Microwave Conference, EuMC 2011, IEEE, 2011, p. 559-562Conference paper, Published paper (Refereed)
Abstract [en]

Meshless methods are numerical methods that have the advantage of high accuracy without the need of an explicitly described mesh topology. In this class of methods, the Radial Point Interpolation Method (RPIM) is a promising collocation method where the application of radial basis functions yields high interpolation accuracy for even strongly unstructured node distributions. For electromagnetic simulations in particular, this distinguishing characteristic translates into an enhanced capability for conformal and multi-scale modeling. The method also facilitates adaptive discretization refinements, which provides an important tool to decrease memory consumption and computation time. In this paper, a refinement strategy is introduced for RPIM. In the proposed node adaptation algorithm, the accuracy of a solution is increased iteratively based on an initial solution with a coarse discretization. In contrast to the commonly used residual-based adaptivity algorithms, this definition is extended by an error estimator based on the solution gradient. In the studied cases this strategy leads to increased convergence rates compared with the standard algorithm. Numerical examples are provided to illustrate the effectiveness of the algorithm.

Place, publisher, year, edition, pages
IEEE, 2011. p. 559-562
National Category
Other Physics Topics
Research subject
Physics, Electrotechnology
Identifiers
URN: urn:nbn:se:lnu:diva-81950DOI: 10.23919/EuMC.2011.6102000ISBN: 978-1-61284-235-6 (print)OAI: oai:DiVA.org:lnu-81950DiVA, id: diva2:1304761
Conference
European Microwave Week (EuMC), Manchester, UK, October 9-14, 2011
Available from: 2019-04-13 Created: 2019-04-13 Last updated: 2019-05-13Bibliographically approved

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Engström, Christian

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
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  • text
  • asciidoc
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