Many environmental processes can be modelled as transient convection–diffusion–reaction problems. This is the case, for instance, of the operation of activated-carbon filters. For industrial applications there is a growing demand for 3D simulations, so efficient linear solvers are a major concern. We have compared the numerical performance of two families of incomplete Cholesky factorizations as preconditioners of conjugate gradient iterations: drop-tolerance and prescribed-memory strategies. Numerical examples show that the former are computationally more efficient, but the latter may be preferable due to their predictable memory requirements.
CitationRodríguez, A.; Sandoval, M. Numerical performance of incomplete factorizations for 3D transient convection-diffusion problems. "Advances in engineering software", Juny 2007, vol. 38, núm. 6, p. 439-450.
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