A MULTIGRID SOLVER FOR THE HELMHOLTZ-EQUATION ON A SEMIREGULAR GRID ON THE SPHERE uri icon

abstract

  • The finite-difference grid resolution is constant in the latitudinal direction and variable in the longitudinal direction so as to keep the physical gridpoint spacing approximately uniform over the sphere. The cpu time per grid point required to reduce the residual by a given amount is independent of grid resolution. The discretization error is slightly worse than second order as a result of the variable grid spacing. The method should be applicable to general elliptic equations on the sphere and should be useful for problems where uniform grid spacing is disadvantageous. -from Authors

published proceedings

  • MONTHLY WEATHER REVIEW

author list (cited authors)

  • BOWMAN, K. P., & HUANG, J.

citation count

  • 7

complete list of authors

  • BOWMAN, KP||HUANG, J

publication date

  • March 1991