Numerical analysis of difference schemes often reveals the presence of eigenmodes which do not feature in the continuum solution. An examination of the dispersion relation shows how the spurious and physical modes interact. The behaviour of certain wave-profiles was predicted using this analysis and
On the number of reliable finite-element eigenmodes
β Scribed by Givoli, Dan
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 118 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.1088
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## Abstract Computation of Maxwell eigenmodes in an axisymmetric cavity using hierarchical vector finite elements is presented. The use of curl conforming vector basis functions, which span the null space of the curl operator, leads to the appearance of spurious modes with zero eigenvalues. Such sp
Let G be a finite group and a set of primes. In this note we will prove Ε½ . two results on the local control of k G, , the number of conjugacy w x classes of -elements in G. Our results will generalize earlier ones in 8 , w x w x 9 , and 3 . Ε½ . Ε½ . In the following, we denote by F F G the poset of
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