Blended Hermite MLS Approximation for Discretizing Biharmonic Parial Differential Equations

Pierre Joyot (1) , Francisco Chinesta (2) , Pierre Villon (3) , Balal Khoshnoudirad (2)

1 ESTIA INSTITUTE OF TECHNOLOGY
2 LMSP - Laboratoire de Mécanique des Systèmes et des Procédés
3 UTC - Université de Technologie de Compiègne

Meshless methods are an appealing choice for constructing functional approximations (with different degrees of consistency and continuity) without a mesh support. Some members of the vast family of meshless methods are the smooth particle hydrodynamics (SPH) proposed in , the element free Galekin (EFG) , the diffuse elements (DE) , the reproducing kernel particle method (RKPM) , the natural element method and others. In this work we are going to perform a deeper analysis of Hermite moving least square based approximations. Here, we are analysis its use in the solution of fourth order partial differential equations usually encountered in structural mechanics involving beams or plates.

Domaines: Mécanique [physics.med-ph]; Matériaux

Pierre Joyot, Francisco Chinesta, Pierre Villon, Balal Khoshnoudirad. Blended Hermite MLS Approximation for Discretizing Biharmonic Parial Differential Equations. 8th World Congress on Computational Mechanics (WCCM-VIII), 2008, Venice, Italy. ⟨hal-01007945⟩