An implicit unconditionally stable partitioned solution procedure for the simultaneous integration of transient coupled field problems is presented. The procedure does not require that the full system of coupled equations be assembled, and allows use of existing single-field analysis software modules to solve the coupled field problem. An iterative partitioned conjugate gradient procedure is used to avoid having to form and assemble the Schur complement matrix. The coupling matrices never need be formed, thus resulting in substantial computational savings.
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Jean H. Prévost (1997) studied this question.
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