6533b829fe1ef96bd1289999
RESEARCH PRODUCT
On the use of a meshless solver for PDEs governing electromagnetic transients
A. TortoriciGuido AlaFabio ViolaElena ToscanoElisa Francomanosubject
Mathematical optimizationPolynomialPartial differential equationApplied MathematicsB-splineNumerical analysisGaussianMeshless particle methodSmoothed Particle Hydrodynamics methodMaxwell's equationSolverSmoothed-particle hydrodynamicsSettore MAT/08 - Analisi NumericaSettore ING-IND/31 - ElettrotecnicaComputational Mathematicssymbols.namesakeElectromagnetic transientsymbolsApplied mathematicsSmoothingMathematicsdescription
In this paper some key elements of the Smoothed Particle Hydrodynamics methodology suitably reformulated for analyzing electromagnetic transients are investigated. The attention is focused on the interpolating smoothing kernel function which strongly influences the computational results. Some issues are provided by adopting the polynomial reproducing conditions. Validation tests involving Gaussian and cubic B-spline smoothing kernel functions in one and two dimensions are reported.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-03-01 | Applied Mathematics and Computation |