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
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.