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Use of Boundary Integral Method to Determine Local Characteristic Feature Size of Geometric Domains

Gerstle , Walter, Joseph Jung, Walter Witkowski, Malcolm Panthaki

Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.157-167, October 1997

INTERNATIONAL
MESHING
ROUNTABLE

Walter Gerstle: Dept. of Civ. Engng., UNM, Albuquerque, NM 87131 Email: gerstle@unm.edu
Joseph Jung: Sandia National Laboratories, Albuquerque, NM 87158-0437 Email: jjung@sandia.gov
Walter Witkowski: Sandia Nat. Labs., Albuquerque, NM 87185-0439 Email: wrwitko@sandia.gov
Malcolm Panthaki: Software Consultant, Albuquerque, NM Email: panthaki@rt66.com

Abstract
A method is presented for computing the field of local characteristic feature size (LCFS) from a discretization of the boundary of a one-, two- or three- dimensional geometric domain. The LCFS and its gradients are defined so as to be useful in automatic generation of meshes. The method first involves discretizing the boundary of the geometric domain with boundary elements. Then, a solution to Poisson's equation is obtained, assuming homogeneous Dirichlet boundary conditions. This solution to Poisson's Equation is then used as a basis for defining the LCFS, which varies as a function of position within the geometric domain. Also introduced are two other useful concepts: vertex characteristic feature size (VCFS) and edge characteristic feature size (ECFS).

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