TY - JOUR
T1 - Superconvergent extraction of flux intensity factors and first derivatives from finite element solutions
AU - Szabó, Barna A.
AU - Yosibash, Zohar
N1 - Funding Information:
The support of this work by the Air Force Office of Scientific Researchu nder grant No. F49620-93-l-0173 and grant No. 92-J-0043i s gratefullya cknowledgedT. he writers thank Professor Ivo BabuSkao f the University of Texas at Austin for helpful discussionsa nd advice.
PY - 1996/1/1
Y1 - 1996/1/1
N2 - A superconvergent method for the computation of the derivatives of the solution and the coefficients of the asymptotic expansion at singular points is presented for the Laplace problem in two dimensions. The algorithm utilizes the complementary weak form on a localized small domain. Mathematical analysis demonstrates the super-convergent behavior, and numerical experiments support our analysis. This method is well suited for anisotropic multi-material singular interface problems.
AB - A superconvergent method for the computation of the derivatives of the solution and the coefficients of the asymptotic expansion at singular points is presented for the Laplace problem in two dimensions. The algorithm utilizes the complementary weak form on a localized small domain. Mathematical analysis demonstrates the super-convergent behavior, and numerical experiments support our analysis. This method is well suited for anisotropic multi-material singular interface problems.
UR - http://www.scopus.com/inward/record.url?scp=0030085681&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(95)00865-9
DO - 10.1016/0045-7825(95)00865-9
M3 - Article
AN - SCOPUS:0030085681
SN - 0045-7825
VL - 129
SP - 349
EP - 370
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 4
ER -