Element-by-Element Approach

• The following (and only) picture, shows some stress details from a model of the proposed tunnels for the new facilities at CERN.

• There may be many different element shapes , but these can be collected into groups of, say 50 typical ëparentsí Their ëchildrení may differ by only a scalar or vector multiple.

• This allows an ëelement-by-elementí approach:

  • The elements are never assembled at all.
  • The matrix-vector operation inherent in PCG is computed at element (group) level.
  • Different from many PCG strategies which involve assembly, domain decomposition and sparse matrix-vector operations, particularly in parallel implementations.

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