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Residual-based adaptive refinement for meshless eigenvalue solvers
ETH Zurich, Electromagnetic Fields and Microwave Electronics Laboratory.
2010 (English)In: The International Conference on Electromagnetics in Advanced Applications (ICEAA'10), 2010, 244-247 p.Conference paper (Refereed)
Abstract [en]

he concept of an adaptive meshless eigenvalue solver is presented and implemented for two-dimensional structures. Based on radial basis functions, eigenmodes are calculated in a collocation approach for the second-order wave equation. This type of meshless method promises highly accurate results with the simplicity of a node-based collocation approach. Thus, when changing the discrete representation of a physical model, only node locations have to be adapted, hence avoiding the numerical overhead of handling an explicit mesh topology. The accuracy of the method comes at a cost of dealing with poorly-conditioned matrices. This is circumvented by applying a leave-one-out-cross-validation optimization algorithm to get stable results. A node adaptivity algorithm is presented to efficiently refine an initially coarse discretization. The convergence is evaluated in two numerical examples with analytical solutions. The most relevant parameter of the adaptation algorithm is numerically investigated and its influence on the convergence rate examined.

Place, publisher, year, edition, pages
2010. 244-247 p.
National Category
Physical Sciences
URN: urn:nbn:se:umu:diva-51957DOI: 10.1109/ICEAA.2010.5653604OAI: diva2:490599
The International Conference on Electromagnetics in Advanced Applications (ICEAA'10), Sydney, Australia, September 20-24, 2010
Available from: 2012-02-06 Created: 2012-02-06 Last updated: 2012-02-16Bibliographically approved

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Engström, Christian
Physical Sciences

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ReferencesLink to record
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