SUPERCONVERGENT EXTRACTION OF FLUX INTENSITY FACTORS AND FIRST DERIVATIVES FROM FINITE-ELEMENT SOLUTIONS

Citation
Ba. Szabo et Z. Yosibash, SUPERCONVERGENT EXTRACTION OF FLUX INTENSITY FACTORS AND FIRST DERIVATIVES FROM FINITE-ELEMENT SOLUTIONS, Computer methods in applied mechanics and engineering, 129(4), 1996, pp. 349-370
Citations number
20
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
ISSN journal
00457825
Volume
129
Issue
4
Year of publication
1996
Pages
349 - 370
Database
ISI
SICI code
0045-7825(1996)129:4<349:SEOFIF>2.0.ZU;2-7
Abstract
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 al gorithm utilizes the complementary weak form on a localized small doma in. Mathematical analysis demonstrates the superconvergent behavior, a nd numerical experiments support our analysis. This method is well sui ted for anisotropic multi-material singular interface problems.