Approximation properties of lowest-order hexahedral Raviart-Thomas finite elements

被引：11
作者：
Bermúdez, A
Gamallo, P
Nogueiras, MR
Rodríguez, R
机构：
[1] Univ Santiago de Compostela, Dept Matemat Aplicada, Santiago De Compostela 15782, Spain
[2] Univ Southampton, Inst Sound & Vibrat Res, Southampton SO17 IBJ, Hants, England
[3] Univ Concepcion, Dept Ingn Matemat, GI2MA, Concepcion, Chile
来源：
COMPTES RENDUS MATHEMATIQUE | 2005年 / 340卷 / 09期
关键词：
D O I：
10.1016/j.crma.2005.03.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Basic interpolation results are settled for lowest-order hexahedral Raviart-Thomas finite elements. Convergence in H(div) is proved for regular families of asymptotically parallelepiped meshes. The need of the asymptotically parallelepiped assumption is demonstrated with a numerical example. (c) 2005 Academie des sciences. Published by Elsevier SAS. All rights reserved.
引用
收藏
页码：687 / 692
页数：6
相关论文
共 15 条
[1]   Approximation by quadrilateral finite elements [J].
Arnold, DN ;
Boffi, D ;
Falk, RS .
MATHEMATICS OF COMPUTATION, 2002, 71 (239) :909-922
[2]   Quadrilateral H(div) finite elements [J].
Arnold, DN ;
Boffi, D ;
Falk, RS .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 42 (06) :2429-2451
[3]   Finite element approximation on quadrilateral meshes [J].
Arnold, DN ;
Boffi, D ;
Falk, RS ;
Gastaldi, L .
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 2001, 17 (11) :805-812
[4]  
Babuska I., 1991, Finite Element Methods, V2, P641
[5]   FINITE-ELEMENT VIBRATION ANALYSIS OF FLUID-SOLID SYSTEMS WITHOUT SPURIOUS MODES [J].
BERMUDEZ, A ;
DURAN, R ;
MUSCHIETTI, MA ;
RODRIGUEZ, R ;
SOLOMIN, J .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1995, 32 (04) :1280-1295
[6]   FINITE-ELEMENT COMPUTATION OF THE VIBRATION MODES OF A FLUID-SOLID SYSTEM [J].
BERMUDEZ, A ;
RODRIGUEZ, R .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1994, 119 (3-4) :355-370
[7]   Finite element computation of three-dimensional elastoacoustic vibrations [J].
Bermúdez, A ;
Hervella-Nieto, L ;
Rodríguez, R .
JOURNAL OF SOUND AND VIBRATION, 1999, 219 (02) :279-306
[8]  
Bermúdez A, 2001, J COMPUT ACOUST, V9, P911
[9]   A hexahedral face element for elastoacoustic vibration problems [J].
Bermúdez, A ;
Gamallo, P ;
Rodríguez, R .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2001, 109 (01) :422-425
[10]  
BERMUDEZ A, UNPUB APPROXIMATION
12