Corpus ID: 126408244

Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization

  title={Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization},
  author={M. Osorio},
  • M. Osorio
  • Published 2010
  • Mathematics
  • A meshfree method with diffuse derivatives in a Galerkin framework is developed for second order partial differential equation problems. A unified treatment of the diffuse derivative and an error analysis for this new method are provided in the case of elliptic boundary value problems with Neumann boundary conditions in one and multiple dimensions. To our knowledge, this is the first time an error analysis of a diffuse derivative scheme with high order accuracy has been done. Computational… CONTINUE READING
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