6533b7dcfe1ef96bd12721fb
RESEARCH PRODUCT
Multiscale Particle Method in Solving Partial Differential Equations
Elisa FrancomanoAdele TortoriciElena ToscanoGuido AlaTheodore E. SimosGeorge PsihoyiosCh. Tsitourassubject
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 equationsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-01-01 | AIP Conference Proceedings |