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On a Canonical form for Maxwell Equations and Convergence of Finite Element Scheme for Vlasov--Maxwell system.

Författare och institution:
Mohammad Asadzadeh (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
Transport theory and statistical physics, 43 ( 1-7 ) s. 336-351
ISSN:
0041-1450
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2014
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
This work is a swift introduction to the nature of governing laws involved in the Maxwell equations. We then approximate a “one and one-half” dimensional relativistic Vlasov-Maxwell (VM) system using streamline diffusion finite element method. In this geometry d’Alembert representation for the fields functions guarantees the existence of a unique solution of the Maxwell equations. The VM system is then approximated using the streamline diffusion finite element method. In this part we derive some stability inequalities and optimal a priori error estimates due to the maximal available regularity of the exact solution.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Chalmers fundament:
Grundläggande vetenskaper
Ytterligare information:
Special Issue: Papers from the 23rd International Conference on Transport Theory
Postens nummer:
204776
Posten skapad:
2014-10-23 18:23
Posten ändrad:
2016-07-07 13:47

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