A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation
type: Item
instance of: scholarly article
title: A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation
zbMATH Open document ID: 1269.78016
author: Guido Ala
author: Elisa Francomano
published in: Numerical Algorithms
publication date: 2013-04-12T00:00:00Z
review text: In their previous work, the authors developed an improved smoothed particle hydrodynamics (SPH) method and applied it to Maxwell's equations, which led them to the smoothed particle electrodynamics method (SPEM). The SPEM is limited by the so-called Courant-Friedrichs-Lewy (CFL) stability condition, i.e., the size of the time step of SPEM is limited. In this paper, the authors develop an unconditionally stable scheme by applying the alternating direction finite difference time domain (ADI-FDTD) method in a leapfrog way. They call it leapfrog alternating direction implicit finite difference (LAF) SPEM. The authors perform numerical tests of LAF-SPEM, and the computational results are compared to the exact solutions to demonstrate the efficiency of LAF-SPEM.
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35Q61
Mathematics Subject Classification ID: 65D25
zbMATH DE Number: 6153515
zbMATH Keywords: alternating directions implicit scheme
zbMATH Keywords: finite difference time domain
zbMATH Keywords: meshless methods
zbMATH Keywords: electromagnetic transient analysis
describes a project that uses: LAF-SPEM
describes a project that uses: Mfree2D
MaRDI profile type: Publication
full work available at URL: s11075-012-9635-1
OpenAlex ID: W2021037971
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DOI: 10.1007/S11075-012-9635-1
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description: scientific article; zbMATH DE number 6153515