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.

FRANCOMANO E, TORTORICI A, TOSCANO E, ALA G (2007). Multiscale Particle Method in Solving Partial Differential Equations. In Analysis and Applied Mathematics" - Subseries: Mathematical and Statistical Physics (pp.230-232). NEW YORK : American Institute of Physics [10.1063/1.2790115].

Multiscale Particle Method in Solving Partial Differential Equations

FRANCOMANO, Elisa;TORTORICI, Adele;TOSCANO, Elena;ALA, Guido
2007-01-01

Abstract

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.
Settore ING-IND/31 - Elettrotecnica
Settore MAT/08 - Analisi Numerica
16-set-2007
Numerical Analysis and Applied Mathematics: International Conference on Numerical Analysis and Applied Mathematics; Corfu; Greece; 16 September 2007 through 20 September 2007
Corfù, Greece
16-20 september 2007
1-mag-2007
2007
3
Online
http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.2790115
Theodore E. Simos - Editor
FRANCOMANO E, TORTORICI A, TOSCANO E, ALA G (2007). Multiscale Particle Method in Solving Partial Differential Equations. In Analysis and Applied Mathematics" - Subseries: Mathematical and Statistical Physics (pp.230-232). NEW YORK : American Institute of Physics [10.1063/1.2790115].
Proceedings (atti dei congressi)
FRANCOMANO E; TORTORICI A; TOSCANO E; ALA G
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/12791
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