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Title: New coarse grid operations for highly oscillatory coefficient elliptic problems

Journal Article · · Journal of Computational Physics
 [1];  [2]
  1. UCLA, Los Angeles, CA (United States)
  2. Carnegie Mellon Univ., Pittsburgh, PA (United States)

New coarse grid operators are developed for elliptic problems with highly oscillatory coefficients. The new coarse grid operators are constructed directly based on the homogenized differential operators of hierarchically computed from the finest grid. A detailed description of this construction is provided. Numerical calculations for a two-dimensional elliptic model problem show that the homogenized form of the equations is very useful in the design of coarse grid operators for the multigrid method. A more realistic problem of heat conduction in a composite structure is also considered. 13 refs., 13 figs., 1 tab.

OSTI ID:
530642
Journal Information:
Journal of Computational Physics, Vol. 129, Issue 2; Other Information: PBD: Dec 1996
Country of Publication:
United States
Language:
English