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Constructions of some minimal finite element systems

Christiansen, Snorre H. ; Gillette, Andrew

ESAIM. Mathematical modelling and numerical analysis, 2016-05, Vol.50 (3), p.833-850 [Periódico revisado por pares]

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Título:
Constructions of some minimal finite element systems
Autor: Christiansen, Snorre H. ; Gillette, Andrew
Assuntos: 65N30 ; differential forms ; Finite element method ; finite element systems ; Hypercubes ; Mathematical analysis ; Polynomials ; Serendipity elements ; TNT elements ; virtual element methods
É parte de: ESAIM. Mathematical modelling and numerical analysis, 2016-05, Vol.50 (3), p.833-850
Notas: PII:S0764583X15000898
ark:/67375/80W-C0F3SCH1-C
publisher-ID:m2an150078
snorrec@math.uio.no
istex:CB84A073895A0DAA9FA3B919866719F136ECC588
Descrição: Within the framework of finite element systems, we show how spaces of differential forms may be constructed, in such a way that they are equipped with commuting interpolators and contain prescribed functions, and are minimal under these constraints. We show how various known mixed finite element spaces fulfill such a design principle, including trimmed polynomial differential forms, serendipity elements and TNT elements. We also comment on virtual element methods and provide a dimension formula for minimal compatible finite element systems containing polynomials of a given degree on hypercubes.
Editor: Les Ulis: EDP Sciences
Idioma: Inglês

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