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On some variational acceleration techniques and related methods for local refinement
Author(s) -
Teigland Rune
Publication year - 1998
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19981030)28:6<945::aid-fld752>3.0.co;2-p
Subject(s) - multigrid method , acceleration , mathematics , simple (philosophy) , iterative method , computer science , calculus (dental) , algorithm , partial differential equation , mathematical analysis , physics , classical mechanics , medicine , philosophy , dentistry , epistemology
This paper shows that the well‐known variational acceleration method described by Wachspress (E. Wachspress, Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics , Prentice‐Hall, Englewood Cliffs, NJ, 1966) and later generalized to multilevels (known as the additive correction multigrid method (B.R Huthchinson and G.D. Raithby, Numer. Heat Transf ., 9 , 511–537 (1986))) is similar to the FAC method of McCormick and Thomas (S.F McCormick and J.W. Thomas, Math. Comput ., 46 , 439–456 (1986)) and related multilevel methods. The performance of the method is demonstrated for some simple model problems using local refinement and suggestions for improving the performance of the method are given. © 1998 John Wiley & Sons, Ltd.