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When a problem, for example in elasticity, presents a symmetry from a geometrical point, as well as a physical data point of view, the calculations only need to be performed on half the domain. The result obtained can then be symmetrized and "glued" to the preceding to construct the solution on the whole domain.
Preprocessor SYMBXX is used to construct a symmetric D.S. B with respect to a line (plane) from a given D.S. B.
SUBROUTINE SYMBEL(M,DM,NFB,NIB,NFBS,NIBS,NDIM,AA,BB,CC,DD) C +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ C AIM : SYMMETRY TRIDIM WITH RESPECT TO A PLANE D A D.S. B C --- SYMMETRY BIDIM WITH RESPECT TO A LINE D A D.S. B C LIMITS : ELASTICITY PROBLEM C ------ THE D.O.F. ARE THE DISPLACEMENTS C +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
where
Preprocessor RECOXX is used to construct the D.S. B resulting from the gluing together of two B structures while, in parallel, combining the corresponding NOPO structures.