Sundance Rapid Prototyping Tool for Parallel PDE Optimization

  • Kevin R. Long
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 30)


High-performance algorithms for PDE-constrained optimization often require application of operators and solution of systems of equations that are different from those used in a single solution of the PDE; consequently, exploration of a research idea entails startup costs for modification to the PDE solver. A software tool to enable rapid development of parallel codes for large-scale, complex PDEs on realistic problems would be a useful aid to research in this area. As part of Sandia’s research efforts in PDE-constrained optimization, we are developing Sundance, an environment in which a parallel PDE solver is accessed via a high-level problem description, using abstract concepts such as functions, operators, and regions. With this high-level problem description, it is possible to specify a variational formulation of a PDE and its discretization method in a small amount of user-level code. It is then straightforward to obtain operators such as Jacobians and Hessians for use in optimization algorithms.


Heat Diffusion Equation Symbolic Object Abstract Interface Complex PDEs Global Unknown 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Kevin R. Long
    • 1
  1. 1.Sandia National LaboratoriesLivermore

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