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Rapport Année : 2000

A Lagrangian Approach Based on the Natural Neighbor Interpolation

Résumé

A Lagrangian formulation is constructed using the so-called Moving-Particle Semi-Implicit Method. The approximation scheme is then modified to incorporate the natural neighbor interpolation in the definition of the shape functions. In this way, a multi-scale method results. This method is presented as an alternative for solving partial-differential equations (PDE). Second-order convergence is achieved when uniform rectangular (finite-differ­ence-type) grids are used. Laplace and Poisson equations are solved in somewhat more general geometries as examples; the method demonstrates the same second-order accuracy as classical finite-elements (FEM), but allows a different treatment of geometry potentially powerful for local mesh adaptation in particular.
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Dates et versions

inria-00072542 , version 1 (24-05-2006)

Identifiants

  • HAL Id : inria-00072542 , version 1

Citer

Facundo del Pin. A Lagrangian Approach Based on the Natural Neighbor Interpolation. RR-4090, INRIA. 2000. ⟨inria-00072542⟩
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