Search results for "Poisson solver"

showing 4 items of 4 documents

Monte Carlo Simulation of Harmonic Generation in GaAs structures operating under large-signal Conditions

2007

By using a multiparticles Monte Carlo technique, with a self-consistently coupled one-dimensional Poisson solver, we investigate the dependence of the nonlinear carrier dynamics in GaAs n+nn+ micro e submicro-structures operating under very intense sub-terahertz signals by: (i) the frequency and the intensity of the excitation signal and (ii) the length of the n region.

PhysicsMonte Carlo simulation Semiconductors THzMonte Carlo methodSignalAtomic and Molecular Physics and OpticsSettore FIS/03 - Fisica Della MateriaElectronic Optical and Magnetic MaterialsComputational physicsPoisson solverNonlinear systemModeling and SimulationDynamic Monte Carlo methodHigh harmonic generationStatistical physicsElectrical and Electronic EngineeringCarrier dynamicsIntensity (heat transfer)
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Fast Poisson solvers for graphics processing units

2013

Two block cyclic reduction linear system solvers are considered and implemented using the OpenCL framework. The topics of interest include a simplified scalar cyclic reduction tridiagonal system solver and the impact of increasing the radix-number of the algorithm. Both implementations are tested for the Poisson problem in two and three dimensions, using a Nvidia GTX 580 series GPU and double precision floating-point arithmetic. The numerical results indicate up to 6-fold speed increase in the case of the two-dimensional problems and up to 3- fold speed increase in the case of the three-dimensional problems when compared to equivalent CPU implementations run on a Intel Core i7 quad-core CPU…

Tridiagonal matrixOpenCLComputer scienceparallel computingScalar (mathematics)Linear systemSyklinen reductionGPGPUGPUDouble-precision floating-point formatParallel computingSolverPoisson distributionPSCRComputational sciencefast Poisson solversymbols.namesakenopea Poisson-ratkaisijanäytönohjainsymbolsComputer Science::Mathematical SoftwareCyclic reductionGraphicsrinnakkaislaskentaCyclic reduction
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On GPU-accelerated fast direct solvers and their applications in image denoising

2015

block cyclic reductionnäytönohjaimetOpenCLnumeeriset menetelmätprosessoritimage denoisingparallel computingmean curvatureGPU computingkuvankäsittelyimage processingfast Poisson solverseparable block tridiagonal linear systemPSCR methodoptimointialgoritmitohjelmointiaugmented Lagrangian methodkohinafast direct solverrinnakkaislaskentaalternating direction methods of multipliers
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A parallel radix-4 block cyclic reduction algorithm

2014

A conventional block cyclic reduction algorithm operates by halving the size of the linear system at each reduction step, that is, the algorithm is a radix-2 method. An algorithm analogous to the block cyclic reduction known as the radix-q partial solution variant of the cyclic reduction (PSCR) method allows the use of higher radix numbers and is thus more suitable for parallel architectures as it requires fever reduction steps. This paper presents an alternative and more intuitive way of deriving a radix-4 block cyclic reduction method for systems with a coefficient matrix of the form tridiag{ − I,D, − I}. This is performed by modifying an existing radix-2 block cyclic reduction method. Th…

fast Poisson solverblock cyclic reductionnopea Poisson ratkaisijaosamurtokehitelmätekniikkaparallel computingsyklinen reduktioPSCRrinnakkaislaskentasuora ratkaisijadirect solverpartial fraction technique
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