Search results for " meshfree methods"

showing 3 items of 3 documents

A Meshfree Solver for the MEG Forward Problem

2015

Noninvasive estimation of brain activity via magnetoencephalography (MEG) involves an inverse problem whose solution requires an accurate and fast forward solver. To this end, we propose the Method of Fundamental Solutions (MFS) as a meshfree alternative to the Boundary Element Method (BEM). The solution of the MEG forward problem is obtained, via the Method of Particular Solutions (MPS), by numerically solving a boundary value problem for the electric scalar potential, derived from the quasi-stationary approximation of Maxwell’s equations. The magnetic field is then computed by the Biot-Savart law. Numerical experiments have been carried out in a realistic single-shell head geometry. The p…

Computer scienceBiomagnetics magnetoencephalography (MEG) method of fundamental solutions (MFS) meshfree methodsScalar potentialInverse problemSolverBoundary knot methodElectronic Optical and Magnetic MaterialsSettore ING-IND/31 - ElettrotecnicaSettore MAT/08 - Analisi NumericaClassical mechanicsApplied mathematicsMethod of fundamental solutionsBoundary value problemElectrical and Electronic EngineeringBoundary element method
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Free vibrations of anisotropic panels

2004

A meshfree approach, called Displacement Boundary Method, for the analysis of in-plane and out-of-plane free vibrations of anisotropic plates is presented. The discretization process is based on the use of a modified variational principle and the static fundamental solutions of the problem operators. The stiffness and mass matrices are frequencyindependent, symmetric and positive definite and their computation requires boundary integrations of regular kernels only. Thus, the final resolving system can be solved with classical approaches by using standard numerical procedures. Numerical results are presented to show the accuracy and effectiveness of the method.

Meshless methods meshfree methods boundary element method free vibrations anisotropic plates.Settore ING-IND/04 - Costruzioni E Strutture Aerospaziali
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An Improved Solver for the M/EEG Forward Problem

2014

Noninvasive investigation of the brain activity via electroencephalography (EEG) and magnetoencephalography (MEG) involves a typical inverse problem whose solution process requires an accurate and fast forward solver. We propose the Method of Fundamental Solutions (MFS) as a truly meshfree alternative to the Boundary Element Method (BEM) for solving the M/EEG forward problem. The solution of the forward problem is obtained, via the Method of Particular Solutions (MPS), by numerically solving a set of coupled boundary value problems for the 3D Laplace equation. Numerical accuracy and computational load are investigated for spherical geometries and comparisons with a state-of-the-art BEM solv…

Settore ING-IND/31 - ElettrotecnicaSettore MAT/08 - Analisi NumericaEEG MEG method of fundamental solutions meshfree methods
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