Finite Element Hodge for spline discrete differential forms. Application to the Vlasov-Poisson system

Aurore Back; Eric Sonnendrücker

doi:10.1016/j.apnum.2014.01.002

Finite Element Hodge for spline discrete differential forms. Application to the Vlasov-Poisson system

Aurore Back, Eric Sonnendrücker

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The notion of B-spline based discrete differential forms is recalled and along with a Finite Element Hodge operator, it is used to design new numerical methods for solving the Vlasov-Poisson system.

Original language	English
Pages (from-to)	124-136
Number of pages	13
Journal	Applied Numerical Mathematics
Volume	79
DOIs	https://doi.org/10.1016/j.apnum.2014.01.002
State	Published - May 2014
Externally published	Yes

Keywords

B-splines
Discrete differential forms
Numerical simulation
Vlasov-Poisson

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10.1016/j.apnum.2014.01.002

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title = "Finite Element Hodge for spline discrete differential forms. Application to the Vlasov-Poisson system",

abstract = "The notion of B-spline based discrete differential forms is recalled and along with a Finite Element Hodge operator, it is used to design new numerical methods for solving the Vlasov-Poisson system.",

keywords = "B-splines, Discrete differential forms, Numerical simulation, Vlasov-Poisson",

author = "Aurore Back and Eric Sonnendr{\"u}cker",

year = "2014",

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doi = "10.1016/j.apnum.2014.01.002",

language = "English",

volume = "79",

pages = "124--136",

journal = "Applied Numerical Mathematics",

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AU - Back, Aurore

AU - Sonnendrücker, Eric

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AB - The notion of B-spline based discrete differential forms is recalled and along with a Finite Element Hodge operator, it is used to design new numerical methods for solving the Vlasov-Poisson system.

KW - B-splines

KW - Discrete differential forms

KW - Numerical simulation

KW - Vlasov-Poisson

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DO - 10.1016/j.apnum.2014.01.002

M3 - Article

AN - SCOPUS:84899416100

SN - 0168-9274

VL - 79

SP - 124

EP - 136

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

ER -

Finite Element Hodge for spline discrete differential forms. Application to the Vlasov-Poisson system

Abstract

Keywords

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