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Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection–diffusion problems
Cao F.1; Ge Y.3; Sun H.-W.2
2017-12-02
Source PublicationInternational Journal of Computer Mathematics
ISSN10290265 00207160
Volume94Issue:12Pages:2356-2372
AbstractA partial semi-coarsening multigrid method based on the high-order compact (HOC) difference scheme on nonuniform grids is developed to solve the 2D convection–diffusion problems with boundary or internal layers. The significance of this study is that the multigrid method allows different number of grid points along different coordinate directions on nonuniform grids. Numerical experiments on some convection–diffusion problems with boundary or internal layers are conducted. They demonstrate that the partial semi-coarsening multigrid method combined with the HOC scheme on nonuniform grids, without losing the high-order accuracy, is very efficient and effective to decrease the computational cost by reducing the number of grid points along the direction which does not contain boundary or internal layers.
Keywordboundary or internal layer Convection–diffusion equation high-order compact difference scheme multigrid method nonuniform grids partial semi-coarsening
DOI10.1080/00207160.2017.1283408
URLView the original
Language英語
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Document TypeJournal article
专题University of Macau
Affiliation1.Inner Mongolia University of Science and Technology
2.Universidade de Macau
3.Ningxia University
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Cao F.,Ge Y.,Sun H.-W.. Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection–diffusion problems[J]. International Journal of Computer Mathematics,2017,94(12):2356-2372.
APA Cao F.,Ge Y.,&Sun H.-W..(2017).Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection–diffusion problems.International Journal of Computer Mathematics,94(12),2356-2372.
MLA Cao F.,et al."Partial semi-coarsening multigrid method based on the HOC scheme on nonuniform grids for the convection–diffusion problems".International Journal of Computer Mathematics 94.12(2017):2356-2372.
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