An advanced numerical treatment of EM absorption in human tissue

Ala, Guido; Francomano, Elisa; Millunzi, Monica; Paliaga, Marta

doi:10.1109/melecon48756.2020.9140687

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2021

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“…Mesh-free methods are independent of a mesh and are well suited for problems with complex geometries or problems which require highly adaptive discretizations maintaining a suitable computational effort [1][2][3]. Smoothed Particle Hydrodynamics is a popular kernel based approach introduced in astrophysics [ [4][5][6][7][8][9] and it is being increasingly used [3,[10][11][12][13][14]. The method provides a spatial approximation via a discrete kernel convolution.…”

Section: Introductionmentioning

confidence: 99%

Enhancing the Iterative Smoothed Particle Hydrodynamics Method

Francomano

2021

Applied Sciences

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Motivated by recent research on the iterative approach proposed for the smoothed particle hydrodynamics (ISPH) method, some ideas to improve the process are introduced. The standard procedure is enhanced iterating on the residuals preserving the matrix-free nature of the process. The method is appealing providing reasonable results with disordered data distribution too and no kernel variations are needed in the approximation. This work moves forward with a novel formulation requiring a lower number of iterations to reach a desired accuracy. The computational procedure is described and some results are introduced to appreciate the proposed formulation.

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