Nearly singular approximations of CPV integrals with end- and corner-singularities for the numerical solution of hypersingular boundary integral equations

[1]  Norio Kamiya,et al.  A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity , 2002 .

[2]  Norio Kamiya,et al.  Distance transformation for the numerical evaluation of near singular boundary integrals with various kernels in boundary element method , 2002 .

[3]  E. Schnack,et al.  Regularized algorithms for the calculation of values on and near boundaries in 2D elastic BEM , 2001 .

[4]  L. Gaul,et al.  Non-singular symmetric boundary element formulation for elastodynamics , 2001 .

[5]  N. Kamiya,et al.  A general algorithm for accurate computation of field variables and its derivatives near the boundary in BEM , 2001 .

[6]  R. Gallego,et al.  Regularization of nearly hypersingular integrals in the boundary element method , 2001 .

[7]  S. Mukherjee,et al.  Evaluation of nearly singular integrals in boundary element contour and node methods for three-dimensional linear elasticity , 2000 .

[8]  Yijun Liu,et al.  On the simple-solution method and non-singular nature of the BIE/BEM — a review and some new results , 2000 .

[9]  S. Mukherjee.  Finite parts of singular and hypersingular integrals with irregular boundary source points , 2000 .

[10]  S. Mukherjee.  CPV and HFP integrals and their applications in the boundary element method , 2000 .

[11]  M. H. Aliabadi,et al.  Boundary element hyper‐singular formulation for elastoplastic contact problems , 2000 .

[12]  Yijun Liu,et al.  New identities for fundamental solutions and their applications to non-singular boundary element formulations , 1999 .

[13]  Peter Rex Johnston,et al.  Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals , 1999 .

[14]  T. A. Cruse,et al.  Weakly singular stress-BEM for 2D elastostatics , 1999 .

[15]  G. Karami,et al.  An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis , 1999 .

[16]  N. Kamiya,et al.  Domain supplemental approach to avoid boundary layer effect of BEM in elasticity , 1999 .

[17]  Chung-Yuen Hui,et al.  EVALUATIONS OF HYPERSINGULAR INTEGRALS USING GAUSSIAN QUADRATURE , 1999 .

[18]  Manuel Doblaré,et al.  On non‐linear transformations for the integration of weakly‐singular and Cauchy Principal Value integrals , 1997 .

[19]  P. Johnston.  C2‐CONTINUOUS ELEMENTS FOR BOUNDARY ELEMENT ANALYSIS , 1997 .

[20]  T. A. Cruse,et al.  Non-Singular Somigliana Stress Identities in Elasticity , 1996 .

[21]  F. Rizzo,et al.  HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE? , 1996 .

[22]  T. A. Cruse,et al.  On the non-singular traction-BIE in elasticity , 1994 .

[23]  Masataka Tanaka,et al.  Boundary stress calculation using regularized boundary integral equation for displacement gradients , 1993 .

[24]  T. Cruse,et al.  Non-singular boundary integral equation implementation , 1993 .

[25]  F. Rizzo,et al.  A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations , 1992 .

[26]  Yijun Liu,et al.  Some identities for fundamental solutions and their applications to weakly-singular boundary element formulations , 1991 .

[27]  Massimo Guiggiani,et al.  A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method , 1990 .

[28]  L. Schmerr,et al.  Hypersingular Boundary Integral Equations: Some Applications in Acoustic and Elastic Wave Scattering , 1990 .

[29]  Miguel Cerrolaza,et al.  A bi‐cubic transformation for the numerical evaluation of the Cauchy principal value integrals in boundary methods , 1989 .

[30]  M. Guiggiani,et al.  Direct computation of Cauchy principal value integrals in advanced boundary elements , 1987 .

[31]  J. Telles.  A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals , 1987 .

[32]  W. S. Hall,et al.  Taylor expansions for singular kernels in the boundary element method , 1985 .

[33]  Meng H. Lean,et al.  Accurate numerical integration of singular boundary element kernels over boundaries with curvature , 1985 .

[34]  S. Mukherjee,et al.  Boundary element techniques: Theory and applications in engineering , 1984 .