Generation of higher-order polynomial basis of Nedelec H(curl) finite elements for Maxwell's equations

被引：3

作者：

Bergot, M. ^{[2
]}

Lacoste, P. ^{[1
]}

机构：

[1] CEA, CESTA, DEV, SIS,Commissariat Energie Atom, F-33114 Le Barp, France

[2] INRIA, ENSTA, CNRS, Projets POems URM2706, Le Chesnay, France

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 234卷 / 06期

关键词：

Higher-order H(curl) Nedelec finite element; Symbolic calculation; BASES;

D O I：

10.1016/j.cam.2009.08.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this study is the automatic construction of a vectorial polynomial basis for Nedelec mixed finite elements, J.C. Nedelec (1980), in particular, the generation of finite elements without the expression of the polynomial basis functions, using symbolic calculus: the exhibition of basis functions has no practical interest. (C) 2010 Published by Elsevier B.V.

引用

页码：1937 / 1944

页数：8

共 10 条

[1] Hierarchic finite element bases on unstructured tetrahedral meshes [J].

Ainsworth, M ;

Coyle, J .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2003, 58 (14) :2103-2130

[2] Hierarchical tangential vector finite elements for tetrahedra [J].

Andersen, LS ;

Volakis, JL .

IEEE MICROWAVE AND GUIDED WAVE LETTERS, 1998, 8 (03) :127-129

[3]

Cohen G., 2002, HIGHER ORDER NUMERIC

[4] Nedelec spaces in affine coordinates [J].

Gopalakrishnan, J ;

García-Castillo, LE ;

Demkowicz, LF .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (7-8) :1285-1294

[5] Higher order interpolatory vector bases for computational electromagnetics [J].

Graglia, RD ;

Wilton, DR ;

Peterson, AF .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1997, 45 (03) :329-342

[6]

Monk P., 2003, FINITE ELEMENT METHO

[7] MIXED FINITE-ELEMENTS IN IR3 [J].

NEDELEC, JC .

NUMERISCHE MATHEMATIK, 1980, 35 (03) :315-341

[8]

Raviart P.A., 1977, MIXED FINITE ELEMENT

[9]

Solin P., 2003, HIGHER ORDER FINITE

[10] Hierarchal vector basis functions of arbitrary order for triangular and tetrahedral finite elements [J].

Webb, JP .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1999, 47 (08) :1244-1253

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