GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
An introduction to finite element methods for transient advection problems
Computer Methods in Applied Mechanics and Engineering
Entropy controlled adaptive finite element simulations for compressible gas flow
Journal of Computational Physics
Communication Cost Reduction for Krylov Methods on Parallel Computers
HPCN Europe 1994 Proceedings of the nternational Conference and Exhibition on High-Performance Computing and Networking Volume II: Networking and Tools
Exploiting Two-Level Parallelism in FEM Applications
HPCN Europe '97 Proceedings of the International Conference and Exhibition on High-Performance Computing and Networking
Finite Element Message-Passing/DSM Simulation Algorithm for Parallel Computers
HPCN Europe 1998 Proceedings of the International Conference and Exhibition on High-Performance Computing and Networking
Implementation Issues of Computational Fluid Dynamics Algorithms on Parallel Computers
Proceedings of the 6th European PVM/MPI Users' Group Meeting on Recent Advances in Parallel Virtual Machine and Message Passing Interface
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
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Two parallel programming models applied to an adaptive finite element code for solving nonlinear simulation problems on unstructured grids are compared. As a test case we used a compressible fluid flow simulation where sequences of finite element solutions form time approximations to the Euler equations. In the first model (explicit) the domain decomposition of unstructured grid is adopted, while the second (implicit) uses the functional decomposition - both applied to the preconditioned GMRES method that solves iteratively the finite element system of linear equations. Results for HP SPP1600, HP S2000 and SGI Origin2000 are reported.