Fully automatic hp adaptive finite element method for the Stokes problem in two dimensions

被引：8

作者：

Matuszyk, Pawel ^{[2
]}

Paszynski, Maciej ^{[1
]}

机构：

[1] AGH Univ Sci & Technol, Dept Comp Sci, PL-30059 Krakow, Poland

[2] AGH Univ Sci & Technol, Dept Appl Comp Sci & Modelling, PL-30059 Krakow, Poland

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2008年 / 197卷 / 51-52期

关键词：

Finite element method; Stokes problem; Automatic hp-adaptation; Stabilization;

D O I：

10.1016/j.cma.2008.05.027

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The paper is devoted to the solution of the Stokes problem using a self-adaptive hp-finite element method (hp-FEM) in two dimensions. The hp-FEM generates a sequence of optimal hp refined meshes delivering exponential convergence rates of the numerical error with respect to the number of degrees of freedom (and CPU time). Optimal meshes are generated by performing a sequence of h and p refinements on an initial mesh provided by the user. The hp-strategy is based on the coarse/fine grid paradigm and the minimization of the projection based interpolation (PBI) error. We employ the Hughes-Franca stabilization method for the stabilization of mixed problem with equal-order elements. (c) 2008 Elsevier B.V. All rights reserved.

引用

页码：4549 / 4558

页数：10

共 16 条

[11] A NEW FINITE-ELEMENT FORMULATION FOR COMPUTATIONAL FLUID-DYNAMICS .5. CIRCUMVENTING THE BABUSKA-BREZZI CONDITION - A STABLE PETROV-GALERKIN FORMULATION OF THE STOKES PROBLEM ACCOMMODATING EQUAL-ORDER INTERPOLATIONS
HUGHES, TJR
FRANCA, LP
BALESTRA, M
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1986, 59 (01) : 85 - 99
[12] A better consistency for low-order stabilized finite element methods
Jansen, KE
Collis, SS
Whiting, C
Shakib, F
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 174 (1-2) : 153 - 170
[13] Stabilized finite element method for viscoplastic flow: formulation and a simple progressive solution strategy
Maniatty, AM
Liu, Y
Klaas, O
Shephard, MS
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (35-36) : 4609 - 4625
[14] Matuszyk PJ, 2006, LECT NOTES COMPUT SC, V3911, P534
[15] Parallel, fully automatic hp-adaptive 2d finite element package
Paszynski, M
Kurtz, J
Demkowicz, L
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (7-8) : 711 - 741
[16] Fully automatic hp-adaptivity in three dimensions
Rachowicz, W.
Pardo, D.
Demkowicz, L.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (37-40) : 4816 - 4842

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