Wyniki wyszukiwania dla: MULTILEVEL PRECONDITIONERS

• Preconditioners with Low Memory Requirements for Higher-Order Finite-Element Method Applied to Solving Maxwell’s Equations on Multicore CPUs and GPUs

  Publikacja

  • A. Dziekoński
  • G. Fotyga
  • M. Mrozowski

  - IEEE Access - Rok 2018

  This paper discusses two fast implementations of the conjugate gradient iterative method using a hierarchical multilevel preconditioner to solve the complex-valued, sparse systems obtained using the higher order finite-element method applied to the solution of the time-harmonic Maxwell equations. In the first implementation, denoted PCG-V, a classical V-cycle is applied and the system of equations on the lowest level is solved...

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• Tuning a Hybrid GPU-CPU V-Cycle Multilevel Preconditioner for Solving Large Real and Complex Systems of FEM Equations

  Publikacja

  • A. Dziekoński
  • A. Lamęcki
  • M. Mrozowski

  - IEEE Antennas and Wireless Propagation Letters - Rok 2011

  This letter presents techniques for tuning an accelerated preconditioned conjugate gradient solver with a multilevel preconditioner. The solver is optimized for a fast solution of sparse systems of equations arising in computational electromagnetics in a finite element method using higher-order elements. The goal of the tuning is to increase the throughput while at the same time reducing the memory requirements in order to allow...

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