Software module development for Uncertainty Quantification in HiFlow3


Aims & objectives

HiFlow3 ( is a multi-purpose finite element software providing powerful tools for efficient and accurate solution of a wide range of problems modeled by partial differential equations (PDEs). Based on object-oriented concepts and the full capabilities of C++ the HiFlow³ project follows a modular and generic approach for building efficient parallel numerical solvers. It provides highly capable modules dealing with the mesh setup, finite element spaces, degrees of freedom, linear algebra routines, numerical solvers, and output data for visualization. Parallelism – as the basis for high performance simulations on modern computing systems – is introduced on two levels: coarse-grained parallelism by means of distributed grids and distributed data structures, and fine-grained parallelism by means of platform-optimized linear algebra back-ends.

Research topics

  • Development of parallel C++ programming environment for stochastic computations
  • Generic framework for stochastic Galerkin projection methods for PDEs with uncertain parameters
  • Shared and distributed memory computation



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