A new family of mixed finite elements in IR3
Numerische Mathematik
An adaptive algebraic multigrid for multigroup neutron diffusion reactor core calculations
Applied Mathematics and Computation
An adaptive algebraic multigrid for reactor criticality calculations
SIAM Journal on Scientific Computing
The optimized order 2 method: application to convection-diffusion problems
Future Generation Computer Systems - I. High Performance Numerical Methods and Applications. II. Performance Data Mining: Automated Diagnosis, Adaption, and Optimization
SIAM Journal on Numerical Analysis
Efficient parallel resolution of the simplified transport equations in mixed-dual formulation
Journal of Computational Physics
| Hi-index | 31.45 |
Studying numerically the steady state of a nuclear core reactor is expensive, in terms of memory storage and computational time. In order to address both requirements, one can use a domain decomposition method, implemented on a parallel computer. We present here such a method for the mixed neutron diffusion equations, discretized with Raviart-Thomas-Nedelec finite elements. This method is based on the Schwarz iterative algorithm with Robin interface conditions to handle communications. We analyse this method from the continuous point of view to the discrete point of view, and we give some numerical results in a realistic highly heterogeneous 3D configuration. Computations are carried out with the MINOS solver of the APOLLO3(R) neutronics code.