Thanks to Prof. Alex Linkov for a picture of

BORIS GALERKIN

 He also notes that the Russian literature refers to the technique as the Bubnov-Galerkin method, the essence of the method appearing in a pioneering paper by Prof. I. G. Bubnov in 1913. Many thanks to Dave Semeraro for the symmetric version seen above.
Papers on Symmetric Galerkin:

Click on the paper titles to view the PDF files

  • Symmetric Galerkin Boundary Integral Fracture Analysis for Plane Orthotropic Elasticity L.J. Gray and Glaucio H. Paulino
  • PVM Implementation of the Symmetric-Galerkin Method B. D. Semeraro and L. J. Gray
  • Evaluation of Singular and Hypersingular Galerkin integrals: direct limits and symbolic computation L. J. Gray
  • A Faster Galerkin Boundary Integral Algorithm L. J. Gray and B. E. Griffith
  • Galerkin Boundary Integral Method for Evaluating Surface Derivatives L. J. Gray, D. Maroudas and M. N. Enmark
  • Evaluation of the Anisotropic Green's Function and Its Derivatives M. A. Sales and L. J. Gray
  • Symmetric Galerkin Boundary Integral Formulation for Interface and Multi-zone Problems L.J. Gray and Glaucio H. Paulino
  • 3D Galerkin integration without Stokes' Theorem L.J. Gray and T. Kaplan
  • Direct evaluation of 3D Galerkin integrals
  • Boundary Integral Evaluation of Surface Derivatives

    Maple code for integrating 3D Laplace Hypersingular

  • Coincident Integral
  • Edge Adjacent Integral

    Maple code for the cancellation of divergences for 3D Hypersingular

  • Coincident Integral
  • Edge Adjacent Integral