Academic Journal
A priori verification method for curl‐conforming basis functions in simplices: A priori verification method for curl-conforming basis functions in simplices
| Τίτλος: | A priori verification method for curl‐conforming basis functions in simplices: A priori verification method for curl-conforming basis functions in simplices |
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| Συγγραφείς: | Adrian Amor‐Martin, Luis E. Garcia‐Castillo |
| Συνεισφορές: | Comunidad de Madrid |
| Πηγή: | e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid Universidad Carlos III de Madrid (UC3M) |
| Στοιχεία εκδότη: | Wiley, 2024. |
| Έτος έκδοσης: | 2024 |
| Θεματικοί όροι: | Finite element method, Telecomunicaciones, Materiales, finite element method, Verification, Electromagnetics, basis functions, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Newton-type methods, 01 natural sciences, affine coordinates, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Applications of mathematical programming, Maxwell equations, electromagnetics, Affine coordinates, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, verification, Basis functions |
| Περιγραφή: | The construction of (hierarchical) curl‐conforming basis functions has been a hot topic in the last decades in the finite element community. Especially, functions applied to simplices have been quite popular after the work by Nédélec in 1980. Many mixed‐order and full‐order families have been provided in the last years, but sometimes, it is difficult to assess if they belong to the original space proposed by Nédélec (especially when orthogonalization procedures are applied). Here, a tool to determine if a family of basis functions belongs to the Nédélec space is provided. Since affine coordinates are the most frequent choice for simplices, particularities about its use with this kind of coordinates are detailed. A detailed survey of existing families is provided, and the practical application of the tool to a representative set of these families is discussed. The tool is also available for the community in a public repository. |
| Τύπος εγγράφου: | Article |
| Περιγραφή αρχείου: | application/pdf; application/xml |
| Γλώσσα: | English |
| ISSN: | 1099-1476 0170-4214 |
| DOI: | 10.1002/mma.10319 |
| Σύνδεσμος πρόσβασης: | https://hdl.handle.net/10016/47003 https://zbmath.org/8013806 https://doi.org/10.1002/mma.10319 |
| Rights: | CC BY NC |
| Αριθμός Καταχώρησης: | edsair.doi.dedup.....1ee7621b94c83c217b4a19a5e74bc7c5 |
| Βάση Δεδομένων: | OpenAIRE |
| ISSN: | 10991476 01704214 |
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| DOI: | 10.1002/mma.10319 |