Hoda Ibrahim, "High Accuracy and Multiscale Multigrid Computation for Three Dimensional Biharmonic Equations," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Hoda Ibrahim. High Accuracy and Multiscale Multigrid Computation for Three Dimensional Biharmonic Equations.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
High Accuracy and Multiscale Multigrid Computation for Three Dimensional Biharmonic Equations
Author:
Abstract: The multiscale multigrid method is presented in this article to solve the linear systems arising from a fourth order discretisation. We used a symbolic algebra package Mathematica to derive a family of finite difference approximations on a 27 point compact stencil. The unknown solution and its second derivatives are carried as unknowns at selected grid points. A set of test problems are presented to demonstrate the efficiency and accuracy of the fourth order compact scheme.
Keywords:
Boundary value problems, three-dimensional biharmonic equation, fourth order compact scheme, multiscale multigrid method
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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