A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation
Joint Authors
Tang, Guoqing
Roop, John Paul
Kyei, Yaw
Source
Advances in Numerical Analysis
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-26
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
We derive a family of sixth-order compact finite-difference schemes for the three-dimensional Poisson's equation.
As opposed to other research regarding higher-order compact difference schemes, our approach includes consideration of the discretization of the source function on a compact finite-difference stencil.
The schemes derived approximate the solution to Poisson's equation on a compact stencil, and thus the schemes can be easily implemented and resulting linear systems are solved in a high-performance computing environment.
The resulting discretization is a one-parameter family of finite-difference schemes which may be further optimized for accuracy and stability.
Computational experiments are implemented which illustrate the theoretically demonstrated truncation errors.
American Psychological Association (APA)
Kyei, Yaw& Roop, John Paul& Tang, Guoqing. 2010. A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation. Advances in Numerical Analysis،Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-465110
Modern Language Association (MLA)
Kyei, Yaw…[et al.]. A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation. Advances in Numerical Analysis No. 2010 (2010), pp.1-17.
https://search.emarefa.net/detail/BIM-465110
American Medical Association (AMA)
Kyei, Yaw& Roop, John Paul& Tang, Guoqing. A Family of Sixth-Order Compact Finite-Difference Schemes for the Three-Dimensional Poisson Equation. Advances in Numerical Analysis. 2010. Vol. 2010, no. 2010, pp.1-17.
https://search.emarefa.net/detail/BIM-465110
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465110