Search results for "Meshfree particle method"

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Multiscale Particle Method in Solving Partial Differential Equations

2007

A novel approach to meshfree particle methods based on multiresolution analysis is presented. The aim is to obtain numerical solutions for partial differential equations by avoiding the mesh generation and by employing a set of particles arbitrarily placed in problem domain. The elimination of the mesh combined with the properties of dilation and translation of scaling and wavelets functions is particularly suitable for problems governed by hyperbolic partial differential equations with large deformations and high gradients.

Multiresolution analysiMethod of linesMathematical analysisFirst-order partial differential equationExponential integratorSPH methodStochastic partial differential equationSettore ING-IND/31 - ElettrotecnicaSettore MAT/08 - Analisi NumericaMultigrid methodMethod of characteristicsMeshfree particle methodHyperbolic partial differential equationNumerical partial differential equationsMathematicsAIP Conference Proceedings
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