Multigrid Method for Solution of 3D Helmholtz Equation Based on HOC Schemes
Joint Authors
Ghaffar, Fazal
Badshah, Noor
Islam, Saeed
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-27
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A higher order compact difference (HOC) scheme with uniform mesh sizes in different coordinate directions is employed to discretize a two- and three-dimensional Helmholtz equation.
In case of two dimension, the stencil is of 9 points while in three-dimensional case, the scheme has 27 points and has fourth- to fifth-order accuracy.
Multigrid method using Gauss-Seidel relaxation is designed to solve the resulting sparse linear systems.
Numerical experiments were conducted to test the accuracy of the sixth-order compact difference scheme with Multigrid method and to compare it with the standard second-order finite-difference scheme and fourth-order compact difference scheme.
Performance of the scheme is tested through numerical examples.
Accuracy and efficiency of the new scheme are established by using the errors norms l 2 .
American Psychological Association (APA)
Ghaffar, Fazal& Badshah, Noor& Islam, Saeed. 2014. Multigrid Method for Solution of 3D Helmholtz Equation Based on HOC Schemes. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1015144
Modern Language Association (MLA)
Ghaffar, Fazal…[et al.]. Multigrid Method for Solution of 3D Helmholtz Equation Based on HOC Schemes. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1015144
American Medical Association (AMA)
Ghaffar, Fazal& Badshah, Noor& Islam, Saeed. Multigrid Method for Solution of 3D Helmholtz Equation Based on HOC Schemes. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1015144
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015144