6533b832fe1ef96bd129aef2
RESEARCH PRODUCT
Some Numerical Remarks on a Meshless Approximation Method
Giorgio MicaleGuido AlaMarta PaliagaElisa Francomanosubject
Settore ING-IND/26 - Teoria Dello Sviluppo Dei Processi ChimiciDistribution (number theory)accuracyBoundary (topology)010103 numerical & computational mathematicsFunction (mathematics)01 natural sciences010101 applied mathematicsSmoothed-particle hydrodynamicsSettore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaProblem domainkernel functionApplied mathematicsmeshless methoderror norm0101 mathematicsAlgorithmMathematicsdescription
In this paper we consider sources of enhancement for the Smoothed Particle Hydrodynamics method in approximating a function and its derivatives. It is well known that the standard formulation is usually poor when scattered data distribution is considered or when the approximation near the boundary occurs. In this paper studies on the accuracy are provided and assessed with gridded and scattered data distribution in the problem domain. The improvements of the method are addressed and supporting numerical experiments are included.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-01-01 |