PCG reference manual: A package for the iterative solution of large sparse linear systems on parallel computers. Version 1.0

Abstract

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Level set topology optimization of fluids in Stokes flow

“…A single layer of elements at the inflows and outflows is maintained as fluid during the optimization. An iterative solver [53] was used for these three-dimensional optimizations. Optimizations were performed on a single CPU of a computing system with 64 single core SGI Altix Intel Itanium 2 1.5 GHz CPUs.…”

“…In three dimensions we use iterative solvers because the direct solver uses almost prohibitive memory requirements and CPU time. In particular, a modified version of the biconjugate gradient squared with stabilization iterative method (CGS2) is used from the PCG open-source package [53] with a user-defined storage scheme. This solver is both efficient and reliable for solving Stokes equations in three dimensions.…”