| Author | J. Fish, V. Belsky and M. Pandheeradi |
|---|---|
| Title | Composite Grid Method for Hybrid Systems |
| Year | 1995 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 135(3-4) |
| Pages | 307-325 |
| Publisher | Elsevier Science |
| Abstract | A composite grid method is developed for solving symmetric indefinite linear systems arising from the three-field hybrid variational principle, which weakly enforces compatibility and traction continuity conditions between independently modeled substructures. The positive definite global problem and the indefinite local system are derived using minimization on the subspace and the stationarity principle, respectively. The indefinite local problem is then transformed into an equivalent symmetric positive definite system, which can be subsequently solved by either a direct solver without pivoting or a preconditioned iterative method. Alternative semi-iterative solution procedures for the case when auxiliary coarse grid is not available, are also described. Numerical performance studies for two-dimensional plane stress and shell problems are carried out to test the usefulness of the proposed procedures. |
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