TY - JOUR
T1 - A finite element method for Stokes equation using discrete singularity expansion
AU - Wu, Xiaonan
AU - Jin, Jicheng
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2005/1/14
Y1 - 2005/1/14
N2 - The numerical method presented in this paper for Stokes equation with corner singularity includes mainly two steps. Firstly, we solve a simple eigenvalue problem, which is one dimension less than the original problem, to obtain the discrete expansion of the singularity near the corner. Secondly, we combine the approximation of the singularity and standard finite element basis functions to construct special finite element spaces, and solve the original problem in the special spaces on a conventional mesh. The numerical examples show the effectiveness of this method.
AB - The numerical method presented in this paper for Stokes equation with corner singularity includes mainly two steps. Firstly, we solve a simple eigenvalue problem, which is one dimension less than the original problem, to obtain the discrete expansion of the singularity near the corner. Secondly, we combine the approximation of the singularity and standard finite element basis functions to construct special finite element spaces, and solve the original problem in the special spaces on a conventional mesh. The numerical examples show the effectiveness of this method.
KW - Finite element method
KW - Singularity
KW - Stokes equation
UR - http://www.scopus.com/inward/record.url?scp=10244224083&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2004.06.012
DO - 10.1016/j.cma.2004.06.012
M3 - Journal article
AN - SCOPUS:10244224083
SN - 0045-7825
VL - 194
SP - 83
EP - 101
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1
ER -