Space decomposition preconditioners

In our contribution, we address this aspect and describe numerical methods based on the use of efficient iterative solvers, which exploit the conjugate gradient (CG) method, its generalization and the space decomposition preconditioners. The efficiency of these solvers will be illustrated by the solution of elasticity and thermo-elasticity problems arising from the finite element analysis of selected benchmarks with computations performed on a PC cluster. The introduced ideas could be useful also for the solution of more complicated coupled problems. 

Blaheta, R., Byczanski, P., Jakl, O., Stary, J. 2003. Space decomposition preconditioners and their application in geomechanics. Mathematics and Computers in Simulation 61, pp. 409 - 420. 

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