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Original Articles

Optimal injection operator and high order schemes for multigrid solution of 3D poisson equation

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Pages 173-190 | Received 02 Aug 1999, Published online: 20 Mar 2007

References

  • Altas , I. and Burrage , K. 1994 . A high accuracy defect-correction multigrid method for the steady incompressible Navier–Stokes equations . J. Comput. Phys , 114 : 227 – 233 .
  • Ananthakrishnaiah , U. , Manohar , R. and Stephenson , J.W. 1987 . Fourth-order finite difference methods for three-dimensional general elliptic problems with variable coefficients . Numer.Methods Partial Differential Equations , 3 : 229 – 240 .
  • Barkai , D. and Brandt , A. 1983 . Vectorized multigrid Poisson solver for the CDC CYBER 205 . AppL Math. Comput , 13 : 215 – 227 .
  • Gupta , M.M. , Kouatchou , J. and Zhang , J. 1997 . Comparison of second and fourth order discretizations for multigrid Poisson solvers . J. Comput Phys , 132 : 226 – 232 .
  • Gupta , M. and Kouatchou , J. 1998 . Symbolic derivation of finite difference approximations for three dimensional Poisson equation . Numer.Methods Partial Differential Equations , 18 : 593 – 606 .
  • Spotz , W.F. and Carey , G.F. 1996 . A high-order compact formulation for the 3D Poisson equation . Numer. Methods Partial Differential Equations , 12 : 235 – 243 .
  • Wesseling , P. 1992 . An Introduction to Multigrid Methods , Chichester : Wiley .
  • Zhang , J. 1996 . A cost-effective multigrid projection operator . J. Comput. Appl Math , 76 : 325 – 333 .
  • Zhang , J. 1998 . Residual scaling techniques in multigrid, II: practical applications . Appl. Math. Comput , 90 ( 2 – 3 ) : 229 – 252 .
  • Zhang , J. 1998 . Fast and high accuracy multigrid solution of the three dimensional Poisson equation . J. Comput. Phys , 143 ( 2 – 3 ) : 449 – 461 .

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