Computer Methods in Applied Mechanics and Engineering
A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
Computer Methods in Applied Mechanics and Engineering
Finite element analysis of the compressible Euler and Navier-Stokes equations
Finite element analysis of the compressible Euler and Navier-Stokes equations
Hybrid Krylov methods for nonlinear systems of equations
SIAM Journal on Scientific and Statistical Computing
A multigrid approach for the solution of the 2D semiconductor equations
IMPACT of Computing in Science and Engineering
Nonlinear multigrid applied to a one-dimensional stationary semiconductor model
SIAM Journal on Scientific and Statistical Computing
Iterative solution methods
A multigrid preconditioner for the semiconductor equations
SIAM Journal on Scientific Computing - Special issue on iterative methods in numerical linear algebra; selected papers from the Colorado conference
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Iterative methods for solving linear systems
Iterative methods for solving linear systems
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
SIAM Journal on Scientific Computing
Parallel smoothed aggregation multigrid: aggregation strategies on massively parallel machines
Proceedings of the 2000 ACM/IEEE conference on Supercomputing
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Jacobian-free Newton-Krylov methods: a survey of approaches and applications
Journal of Computational Physics
Journal of Computational Physics
An Improved Convergence Bound for Aggregation-Based Domain Decomposition Preconditioners
SIAM Journal on Matrix Analysis and Applications
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
Direct Methods for Sparse Linear Systems (Fundamentals of Algorithms 2)
A New Petrov-Galerkin Smoothed Aggregation Preconditioner for Nonsymmetric Linear Systems
SIAM Journal on Scientific Computing
Semiconductor device simulation using adaptive refinement and flux upwinding
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Journal of Computational Physics
Journal of Computational Physics
Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
Journal of Computational Physics
Two-Level Newton and Hybrid Schwarz Preconditioners for Fluid-Structure Interaction
SIAM Journal on Scientific Computing
Factors impacting performance of multithreaded sparse triangular solve
VECPAR'10 Proceedings of the 9th international conference on High performance computing for computational science
The impact of injection bandwidth performance on application scalability
EuroMPI'11 Proceedings of the 18th European MPI Users' Group conference on Recent advances in the message passing interface
Energy based performance tuning for large scale high performance computing systems
Proceedings of the 2012 Symposium on High Performance Computing
Enriched residual free bubbles for semiconductor device simulation
Computational Mechanics
ACM Transactions on Mathematical Software (TOMS)
Concurrency and Computation: Practice & Experience
Toward codesign in high performance computing systems
Proceedings of the International Conference on Computer-Aided Design
A computational approach for the simulation of natural convection in electrochemical cells
Journal of Computational Physics
The Red Storm Architecture and Early Experiences with Multi-Core Processors
International Journal of Distributed Systems and Technologies
Multiphysics simulations: Challenges and opportunities
International Journal of High Performance Computing Applications
Exascale design space exploration and co-design
Future Generation Computer Systems
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In this study results are presented for the large-scale parallel performance of an algebraic multilevel preconditioner for solution of the drift-diffusion model for semiconductor devices. The preconditioner is the key numerical procedure determining the robustness, efficiency and scalability of the fully-coupled Newton-Krylov based, nonlinear solution method that is employed for this system of equations. The coupled system is comprised of a source term dominated Poisson equation for the electric potential, and two convection-diffusion-reaction type equations for the electron and hole concentration. The governing PDEs are discretized in space by a stabilized finite element method. Solution of the discrete system is obtained through a fully-implicit time integrator, a fully-coupled Newton-based nonlinear solver, and a restarted GMRES Krylov linear system solver. The algebraic multilevel preconditioner is based on an aggressive coarsening graph partitioning of the nonzero block structure of the Jacobian matrix. Representative performance results are presented for various choices of multigrid V-cycles and W-cycles and parameter variations for smoothers based on incomplete factorizations. Parallel scalability results are presented for solution of up to 10^8 unknowns on 4096 processors of a Cray XT3/4 and an IBM POWER eServer system.