5. What mesh-free methods are capable of. Application examples

5.1 Case studies

We consider the 2D problem in linear elasticity (the 3D extension is immediate) described by the equilibrium equation :

\nabla \cdot σ + b = 0 dans Ω

^( 19 )

where $Ω \in ℝ^{2}$ is the material domain,

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What mesh-free methods are capable of. Application examples

(1) - GINGOLD (R.), MONAHAN (J.J) - Smoothed Particle Hydrodynamics: Theory and applications to non-spherical Stars. - Mon. Not. Roy. Astron. Soc. 181, 375-389.
(2) - LISZKA (T.), ORKISZ (J) - The Finite Difference Method at Arbitrary Irregular Grids and...