Simulation of fields in an axially symmetric medium
type: Item
instance of: scholarly article
zbMATH Open document ID: 0976.78005
author: V. P. Il'in
author: E. A. Itskovich
author: A. V. Gavrilov
author: Ya. L. Gur'eva
publication date: 2001-10-11T00:00:00Z
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 86A25
Mathematics Subject Classification ID: 65M06
zbMATH DE Number: 1656836
zbMATH Keywords: electromagnetic methods in geophysics
zbMATH Keywords: finite-volume approach
zbMATH Keywords: three-dimensional electric fields
zbMATH Keywords: unbounded media
zbMATH Keywords: axial symmetry
zbMATH Keywords: dipole sources
zbMATH Keywords: Fourier expansion
MaRDI profile type: Publication
title: Simulation of fields in an axially symmetric medium
published in: Sibirskiĭ Zhurnal Industrial'noĭ Matematiki
review text: The authors develop numerical methods for calculating three-dimensional electric fields in unbounded media with an axial symmetry which are generated by dipole sources. Using the Fourier expansion, the authors reduce the initial-boundary value problem to a sequence of two-dimensional problems for harmonics. Finite-volume methods are described which approximate the initial problem on a rectangular grid. The system of difference equations is solved by an iterative method of incomplete factorization. In order to accelerate convergence, the solution is considered on three enclosed grids; intermediate interpolation, discrepancy correction, and inter-grid interpolation are used. Efficiency of the methods proposed is shown by a series of numerical experiments.
description: scientific article; zbMATH DE number 1656836