Abstract
Parallel block-preconditioned domain-decomposed Krylov methods for sparse linear systems are described and illustrated on large two-dimensional model problems and Jacobian matrices from different stages of a nonlinear multicomponent problem in chemically reacting flows. The main motivation of the work is to examine the practicality of parallelization, under the domain decomposition paradigm, of the solution of systems of equations typical of implicit finite difference applications from fluid dynamics. We describe techniques depending formally only on the sparsity structure of the linear operator and thus of broad applicability.