Concurrent scientific computing
Concurrent scientific computing
Introduction to Parallel Computing
Introduction to Parallel Computing
Block tridiagonal matrix inversion and fast transmission calculations
Journal of Computational Physics
Optimal block-tridiagonalization of matrices for coherent charge transport
Journal of Computational Physics
The recursive Green's function method for graphene
Journal of Computational Electronics
Patchwork algorithm for the parallel computation of the Green's function in open systems
Journal of Computational Electronics
Recursive Green's function method for multi-terminal nanostructures
Journal of Computational Physics
Hi-index | 31.48 |
A parallel algorithm for the implementation of the recursive Green's function technique, which is extensively applied in the coherent scattering formalism, is developed. The algorithm performs a domain decomposition of the scattering region among the processors participating in the computation and calculates the Schur's complement block in the form of distributed blocks among the processors. If the method is applied recursively, thereby eliminating the processors cyclically, it is possible to arrive at a Schur's complement block of small size and compute the desired block of the Green's function matrix directly. The numerical complexity due to the longitudinal dimension of the scatterer scales linearly with the number of processors, though, the computational cost due to the processors' cyclic reduction establishes a bottleneck to achieve efficiency 100%. The proposed algorithm is accompanied by a performance analysis for two numerical benchmarks, in which the dominant sources of computational load and parallel overhead as well as their competitive role in the efficiency of the algorithm will be demonstrated.