Search results for "Analisi numerica"
showing 10 items of 111 documents
A Meshless Method for Image Reconstruction
2009
ADVANCED MESHLESS NUMERICAL METHODS AND APPLICATIONS
Some numerical modelings beyond the mesh
2015
In recent years meshless methods have gained much attention in several application areas of science. These methods benefit of savings due to the elimination of meshing process and are suite to handle changes in the geometry of the domain of interest. Further advantages come from the ease of implementation, which makes computer codes very flexible. We present some numerical experiences lying in the meshless framework dealing with domain and boundary-type methods.
Numerical modelling for EM-Fields and biosystems interactions
2012
In this paper the electromagnetic fields related to the current sources in the human brain are investigated by means of the quasi-stationary approximation. The knowledge of these fields are of great interest to understand the human brain activity regions. By considering the current density produced by neural activity and because no current could ow out of the skull, the numerical model describing the problem can be fully defined. The current sources are simulated as current dipoles into an homogeneous sphere proceeding in the computation by solving the Poissons equation with Neumann boundary conditions. Numerical results relating to a spherical head representation are proposed by considerin…
Consistency Restoring in SPH for Trigonometric Functions Approximation
2009
An Original Convolution Model to analyze Graph Network Distribution Features
2022
Modern Graph Theory is a newly emerging field that involves all of those approaches that study graphs differently from Classic Graph Theory. The main difference between Classic and Modern Graph Theory regards the analysis and the use of graph's structures (micro/macro). The former aims to solve tasks hosted on graph nodes, most of the time with no insight into the global graph structure, the latter aims to analyze and discover the most salient features characterizing a whole network of each graph, like degree distributions, hubs, clustering coefficient and network motifs. The activities carried out during the PhD period concerned, after a careful preliminary study on the applications of the…
Smoothed Particle Electromagnetics Modelling on HPC-GRID Environment
2012
In this paper a meshless approach on a high performance grid computing environment to run fast onerous electromagnetic numerical simulations, is presented. The grid computing and the message passing interface standard have been employed to improve the computational efficiency of the Smoothed Particle Electromagnetics meshless solver adopted. Applications involving an high number of particles can run on a grid computational environment simulating complex domains not accessible before and offer a promising approach for the coupling of particle models to continuous models. The used meshless solver is straightforward to program and fully parallelizable. The results of the parallel numerical sch…
Computational issues of an electromagnetics transient meshless method
2019
In this paper we refer to the computational issues in solving Maxwell’ s curl equations without using any connectivity among the points in which the problem domain is discretized. The adopted procedure is able to approximate the electric and magnetic vector fields making use of the derivatives of a kernel function at points arranged in the computational domain. In order to improve the numerical accuracy, dealing with irregular data distribution or data located near the boundary, a suitable strategy is considered. The computational core of the overall process requires elementary linear algebra operations. In the paper the method is presented and the discussion is revolved to the computationa…
Simulazione elettromagnetica tramite il metodo FDTD: implementazione in ambiente computazionale avanzato
2012
Detection of the human brain activity with fundamental solution method
2018
Human brain activity mapping is a fundamental task for the neurophysiological research and for the diagnostic purposes too. Non-invasive techniques such as Electroencephalography (EEG) and magnetoencephalography (MEG) allow the reconstruction of the cerebral electrical currents providing useful information on the neuronal activity in the human brain. Based on a typical inverse problem the M/EEG imaging techniques require to solve more times a forward one. In this paper we discuss on a numerical tool based on the Method of the Fundamental Solutions(MFS) to efficiently solve the M/EEG forward problem going over the BEM state-of-the-art procedure. Inspired by the Leave-One-Out Cross Validation…