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Introduction to direct variational and moment methods and an application to the Child-Langmuir law

Dan Anderson (Institutionen för rymd- och geovetenskap, Plasmafysik och fusionsenergi) ; Mats Desaix
European journal of physics (0143-0807). Vol. 2015 (2015), 36, p. 065032.
[Artikel, refereegranskad vetenskaplig]

A short introduction is given of direct variational methods and its relation to Galerkin and moment methods, all flexible and powerful approaches for finding approximate solutions of difficult physical equations. A pedagogical application of moment methods is given to the physically and technically important Child–Langmuir law in electron physics. The analysis is shown to provide simple, yet accurate, approximate solutions of the two-dimensional problem (a problem which does not allow an exact analytical solution)and illustrates the usefulness and the power of moment methods.

Nyckelord: direct variational methods, moment methods, Child–Langmuir law

Denna post skapades 2015-11-12. Senast ändrad 2016-01-21.
CPL Pubid: 225634


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Institutioner (Chalmers)

Institutionen för rymd- och geovetenskap, Plasmafysik och fusionsenergi (2013-2017)


Matematisk analys
Fusion, plasma och rymdfysik

Chalmers infrastruktur