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[02377] Accurate approximation of layer potentials evaluated near surfaces of spherical topology

  • Session Time & Room : 4C (Aug.24, 13:20-15:00) @E704
  • Type : Contributed Talk
  • Abstract : Layer potentials, integrals representing the solution of a PDE when solved using boundary integral methods, are notoriously difficult to accurately evaluate close to the boundary of the domain due to a rapidly varying integrand. The presented quadrature method resolves this key challenge by factoring the integrand into a smooth and a simpler nearly singular part, then efficiently expanding the smooth part in a new basis and treating the remaining nearly singular integrals analytically.
  • Classification : 65D32, 65D30, 65R20, 65N99
  • Format : Talk at Waseda University
  • Author(s) :
    • David Krantz (KTH Royal Institute of Technology)
    • Anna-Karin Tornberg (KTH Royal Institute of Technology)