** Abstract: **

###
Muddle, R.L., Boyle, J.W., Mihajlovic, M.D. & Heil, M.
(2009) : The Development of an Object-Oriented Parallel Block
Preconditioning Framework *Parallel scientific computing and
optimization: Advances and applications* **27**,
37-46.

The finite-element-based solution of partial differential equations
often requires the solution of large systems of linear
equations. Krylov subspace methods are efficient solvers when combined
with effective preconditioners. We consider block preconditioners that
are applicable to problems that have different types of degree of
freedom (e.g., velocity and pressure in a fluid simulation). We
discuss the development of an object-oriented parallel block
preconditioning framework within `oomph-lib`, the object-oriented,
multi-physics, finite-element library, available as open-source
software at `
http://www.oomph-lib.org`. We demonstrate the performance
of this framework for problems from non-linear elasticity, fluid
mechanics, and fluid-structure interaction.

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