Archivio Istituzionale della RicercaHierarchical basis function families that incorporate singular behavior to model fields with corner singularities are reviewed. These families are of the additive kind, and combine a traditional polynomial-complete representation with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. A few results are reported to validate the benefits of using such bases when dealing with two-dimensional structures with corners meshed with triangular cells.
Hierarchical and singular bases for finite methods / Graglia, R., Peterson, A.F., Petrini, P., Matekovits, L.. - ELETTRONICO. - (2015), pp. 26-29. (2015 IEEE International Conference on Computational Electromagnetics (ICCEM) Hong Kong 2-5 Feb. 2015) [10.1109/COMPEM.2015.7052543].
Hierarchical and singular bases for finite methods
GRAGLIA, Roberto;PETRINI, PAOLO;MATEKOVITS, Ladislau
2015
Abstract
Hierarchical basis function families that incorporate singular behavior to model fields with corner singularities are reviewed. These families are of the additive kind, and combine a traditional polynomial-complete representation with additional singular terms that incorporate general exponents that may be adjusted for the specific wedge angle of interest. A few results are reported to validate the benefits of using such bases when dealing with two-dimensional structures with corners meshed with triangular cells.
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https://hdl.handle.net/11583/2593954
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