Publicado

2011-09-01

COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS

Palabras clave:

Essential Boundary Condition Enforcement, Penalty Method, Lagrange Multiplier Method (es)

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Autores/as

  • Juan Fernando Ramirez-Salazar Student Universidad Nacional de Colombia, Sede Medellín
  • Elizabeth Mesa-Munera Student Universidad Nacional de Colombia, Sede Medellín
  • John Willian Branch Bedoya Profesor University of Alberta, Canada
  • Pierre Boulanger Profesor Department University of Alberta, Canada
A simulation of a cantilever beam was carried out with the aim of compared the performance of two Meshfree methods, Element Free Galerkin Method and Radial Point Interpolation Method, using two different methods to impose the Essential Boundary Conditions. The results were validated with the analytical solution of the problem, obtained by Timoshenko in [Tim70]. It was possible to conclude that both methods show a good performance for the solution of the simulated problem. However, some consideration must be taken into account when these are applied to other types of approximation that cannot easily satisfy essential boundary conditions.

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Derechos de autor reservados