A new family of mixed finite elements in IR3
Numerische Mathematik
Mixed-hybrid discretization methods for the P1 equations
Applied Numerical Mathematics
A Domain Decomposition Method Applied to the Simplified Transport Equations
CSE '08 Proceedings of the 2008 11th IEEE International Conference on Computational Science and Engineering
Fast non-overlapping Schwarz domain decomposition methods for solving the neutron diffusion equation
Journal of Computational Physics
| Hi-index | 31.45 |
A reactivity computation consists of computing the highest eigenvalue of a generalized eigenvalue problem, for which an inverse power algorithm is commonly used. Very fine modelizations are difficult to treat for our sequential solver, based on the simplified transport equations, in terms of memory consumption and computational time. A first implementation of a Lagrangian based domain decomposition method brings to a poor parallel efficiency because of an increase in the power iterations [1]. In order to obtain a high parallel efficiency, we improve the parallelization scheme by changing the location of the loop over the subdomains in the overall algorithm and by benefiting from the characteristics of the Raviart-Thomas finite element. The new parallel algorithm still allows us to locally adapt the numerical scheme (mesh, finite element order). However, it can be significantly optimized for the matching grid case. The good behavior of the new parallelization scheme is demonstrated for the matching grid case on several hundreds of nodes for computations based on a pin-by-pin discretization.