Search results for "Regularized meshless method"

showing 3 items of 13 documents

A novel numerical meshless approach for electric potential estimation in transcranial stimulation

2015

In this paper, a first application of the method of fundamental solutions in estimating the electric potential and the spatial current density distribution in the brain due to transcranial stimulation, is presented. The coupled boundary value p roblems for the electric potential are solved in a meshless way, so avoiding the use of grid based numerical methods. A multi-spherical geometry is considered and numerical results are discussed.

Regularized meshless methodMathematical optimizationmethod of fundamental solutionQuantitative Biology::Neurons and CognitionNumerical analysistranscranial electrical stimulationCurrent density distributionGrid basedBoundary valuesPhysics and Astronomy (all)Settore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaApplied mathematicsMethod of fundamental solutionsMeshfree methodsmeshless methodElectric potentialnumerical approximationMathematics
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A numerical meshless particle method in solving the magnetoencephalography forward problem

2012

In this paper, a numerical meshless particle method is presented in order to solve the magnetoencephalography forward problem for analyzing the complex activation patterns in the human brain. The forward problem is devoted to compute the scalp potential and magnetic field distribution generated by a set of current sources representing the neural activity, and in this paper, it has been approached by means of the smoothed particle hydrodynamics method suitably handled. The Poisson equation generated by the quasi-stationary Maxwell's curl equations, by assuming Neumann boundary conditions has been considered, and the current sources have been simulated by current dipoles. The adopted meshless…

Regularized meshless methodSingular boundary methodComputer Science ApplicationsSmoothed-particle hydrodynamicssymbols.namesakeClassical mechanicsMaxwell's equationsMesh generationModeling and SimulationNeumann boundary conditionsymbolsApplied mathematicsElectrical and Electronic EngineeringPoisson's equationBoundary element methodMathematicsInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
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Estimating the temperature evolution of foodstuffs during freezing with a 3D meshless numerical method

2015

Abstract Freezing processes are characterised by sharp changes in specific heat capacity and thermal conductivity for temperatures close to the freezing point. This leads to strong nonlinearities in the governing PDE that may be difficult to resolve using traditional numerical methods. In this work we present a meshless numerical method, based on a local Hermite radial basis function collocation approach in finite differencing mode, to allow the solution of freezing problems. By introducing a Kirchhoff transformation and solving the governing equations in Kirchhoff space, the strength of nonlinearity is reduced while preserving the structure of the heat equation. In combination with the hig…

Work (thermodynamics)Regularized meshless methodRadial basis functionNonlinear heat conductionApplied MathematicsNumerical analysisMathematical analysisGeneral EngineeringMeshleKirchhoff transformationFreezing pointPiecewise linear functionComputational MathematicsNonlinear systemThermal conductivityFreezingSettore ING-IND/10 - Fisica Tecnica IndustrialeHeat equationPhase changeAnalysisMathematicsEngineering Analysis with Boundary Elements
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