Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
The potential of the cell processor for scientific computing
Proceedings of the 3rd conference on Computing frontiers
Implicit and explicit optimizations for stencil computations
Proceedings of the 2006 workshop on Memory system performance and correctness
Scientific computing Kernels on the cell processor
International Journal of Parallel Programming
Data structures and requirements for hp finite element software
ACM Transactions on Mathematical Software (TOMS)
Computing with Hp-Adaptive Finite Elements, Vol. 2: Frontiers Three Dimensional Elliptic and Maxwell Problems with Applications
Hybrid parallel simulations of fluid flows in complex geometries: application to the human lungs
Euro-Par 2010 Proceedings of the 2010 conference on Parallel processing
Scalable multi-coloring preconditioning for multi-core CPUs and GPUs
Euro-Par 2010 Proceedings of the 2010 conference on Parallel processing
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This paper describes the concept of the parallel finite element software package HiFlow3 [2]. HiFlow3 is driven by application requirements and aims at the solution of large-scale problems obtained by means of the finite element method for partial differential equations. By utilizing 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 a hardware-aware cross-platform portable approach implemented in the linear algebra back-end. Modern numerical schemes in HiFlow3 are built on top of both levels of parallelism. Current projects using HiFlow3 are presented.