Numerical solution method for the \(\overline\partial\)-equation in the plane
type: Item
instance of: scholarly article
title: Numerical solution method for the \(\overline\partial\)-equation in the plane
zbMATH Open document ID: 1059.65116
author: Kim Knudsen
author: J. L. Mueller
author: S. Siltanen
published in: Journal of Computational Physics
publication date: 2004-09-23T00:00:00Z
review text: The authors apply both a one-grid and two-grid multigrid approach with an fast Fourier transform implementation for solving the \(\overline\partial\) equation in the plane. Convergence results of the form \(O(h)\) are proved and numerical results for an electrical impedance tomography problem are presented.
Mathematics Subject Classification ID: 65P20
Mathematics Subject Classification ID: 35N15
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 78A46
zbMATH DE Number: 2102454
zbMATH Keywords: dbar-equation
zbMATH Keywords: convergence
zbMATH Keywords: numerical results
zbMATH Keywords: fast Fourier transform
zbMATH Keywords: inverse scattering
zbMATH Keywords: \(\overline\partial\)-equation
zbMATH Keywords: FFT
zbMATH Keywords: electrical impedance tomography
zbMATH Keywords: multigrid method
reviewed by: Kevin Burrage
MaRDI profile type: Publication
full work available at URL: j.jcp.2004.01.028
OpenAlex ID: W2146035241
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Wikidata QID: Q106473946
DOI: 10.1016/J.JCP.2004.01.028
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description: scientific article; zbMATH DE number 2102454