✦ LIBER ✦

TREE–COTREE DECOMPOSITIONS FOR FIRST-ORDER COMPLETE TANGENTIAL VECTOR FINITE ELEMENTS

✍ Scribed by J. B. MANGES; Z. J. CENDES

Book ID: 101233405
Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 329 KB
Volume: 40
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19970515)40:9<1667::aid-nme133>3.0.co;2-9

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✦ Synopsis

Edge-based finite elements have important applications in modelling both quasi-static and high-frequency electromagnetic problems. Recent work has demonstrated that formulations that exploit the graph structure of the edge-based finite element mesh may be extended to higher-order elements. This paper presents the details of how such an extension to a first-order complete finite element is accomplished and illustrates its application in two-dimensional magnetostatics.

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