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• W1515109456 abstract "In thispaper, a high order compact difference scheme and a multigrid method areproposed for solving two-dimensional (2D) elliptic problems with variablecoefficients and interior/boundary layers on nonuniform grids. Firstly, theoriginal equation is transformed from the physical domain (with a nonuniformmesh) to the computational domain (with a uniform mesh) by using a coordinatetransformation. Then, a fourth order compact difference scheme is proposed tosolve the transformed elliptic equation on uniform girds. After that, amultigrid method is employed to solve the linear algebraic system arising fromthe difference equation. At last, the numerical experiments on some ellipticproblems with interior/boundary layers are conducted to show high accuracy and highefficiency of the present method." @default.
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• W1515109456 date "2015-01-01" @default.
• W1515109456 modified "2023-09-23" @default.
• W1515109456 title "High Order Compact Difference Scheme and Multigrid Method for 2D Elliptic Problems with Variable Coefficients and Interior/Boundary Layers on Nonuniform Grids" @default.
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• W1515109456 doi "https://doi.org/10.4236/jamp.2015.35063" @default.
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