Hierarchical Additive Basis Functions for the Finite-Element Treatment of Corner Singularities
Scalar and vector basis functions are developed for modeling corner singularities in electromagnetic fields. These functions are additive as opposed to substitutive; instead of replacing certain basis functions, singular bases are superimposed with a full set of existing hierarchical nonsingular pol...
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| Veröffentlicht in: | Electromagnetics 2014-04, Vol.34 (3-4), p.171-198 |
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| container_title | Electromagnetics |
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| creator | Graglia, Roberto D. Peterson, Andrew F. Matekovits, Ladislau Petrini, Paolo |
| description | Scalar and vector basis functions are developed for modeling corner singularities in electromagnetic fields. These functions are additive as opposed to substitutive; instead of replacing certain basis functions, singular bases are superimposed with a full set of existing hierarchical nonsingular polynomial basis functions to form the representation. The functions are described for triangular cells, and results are provided to illustrate their performance in terms of solution accuracy and matrix condition number. |
| doi_str_mv | 10.1080/02726343.2014.877746 |
| format | Article |
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| ispartof | Electromagnetics, 2014-04, Vol.34 (3-4), p.171-198 |
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| language | eng |
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| subjects | Additives Basis functions Corners Electromagnetic fields Electromagnetism Finite element analysis finite-element methods hierarchical basis functions Mathematical analysis Mathematical models Matrix Microwaves Polynomials singular basis functions Singularities waveguides wedges |
| title | Hierarchical Additive Basis Functions for the Finite-Element Treatment of Corner Singularities |
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