• Title/Summary/Keyword: Iteration number

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Prewarping Techniques Using Fuzzy system and Particle Swarm Optimization (퍼지 시스템과 Particle Swarm Optimization(PSO)을 이용한 Prewarping 기술)

  • Jang, U-Seok;Gang, Hwan-Il
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2006.11a
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    • pp.272-274
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    • 2006
  • In this paper, we concentrate on the mask design problem for optical micro-lithography. The pre-distorted mask is obtained by minimizing the error between the designed output image and the projected output image. We use the particle swarm optimization(PSO) and fuzzy system to insure that the resulting images are identical to the desired image. Our method has good performance for the iteration number by an experiment.

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ON THE LINEARIZATION OF DEFECT-CORRECTION METHOD FOR THE STEADY NAVIER-STOKES EQUATIONS

  • Shang, Yueqiang;Kim, Do Wan;Jo, Tae-Chang
    • Journal of the Korean Mathematical Society
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    • v.50 no.5
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    • pp.1129-1163
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    • 2013
  • Based on finite element discretization, two linearization approaches to the defect-correction method for the steady incompressible Navier-Stokes equations are discussed and investigated. By applying $m$ times of Newton and Picard iterations to solve an artificial viscosity stabilized nonlinear Navier-Stokes problem, respectively, and then correcting the solution by solving a linear problem, two linearized defect-correction algorithms are proposed and analyzed. Error estimates with respect to the mesh size $h$, the kinematic viscosity ${\nu}$, the stability factor ${\alpha}$ and the number of nonlinear iterations $m$ for the discrete solution are derived for the linearized one-step defect-correction algorithms. Efficient stopping criteria for the nonlinear iterations are derived. The influence of the linearizations on the accuracy of the approximate solutions are also investigated. Finally, numerical experiments on a problem with known analytical solution, the lid-driven cavity flow, and the flow over a backward-facing step are performed to verify the theoretical results and demonstrate the effectiveness of the proposed defect-correction algorithms.

Implementation and Experiments of Sparse Matrix Data Structure for Heat Conduction Equations

  • Kim, Jae-Gu;Lee, Ju-Hee;Park, Geun-Duk
    • Journal of the Korea Society of Computer and Information
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    • v.20 no.12
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    • pp.67-74
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    • 2015
  • The heat conduction equation, a type of a Poisson equation which can be applied in various areas of engineering is calculating its value with the iteration method in general. The equation which had difference discretization of the heat conduction equation is the simultaneous equation, and each line has the characteristic of expressing in sparse matrix of the equivalent number of none-zero elements with neighboring grids. In this paper, we propose a data structure for sparse matrix that can calculate the value faster with less memory use calculate the heat conduction equation. To verify whether the proposed data structure efficiently calculates the value compared to the other sparse matrix representations, we apply the representative iteration method, CG (Conjugate Gradient), and presents experiment results of time consumed to get values, calculation time of each step and relevant time consumption ratio, and memory usage amount. The results of this experiment could be used to estimate main elements of calculating the value of the general heat conduction equation, such as time consumed, the memory usage amount.

Iterated Improved Reduced System (IIRS) Method Combined with Sub-Structuring Scheme (II) - Nonclassically Damped Structural Systems - (부구조화 기법을 연동한 반복적인 동적 축소법 (II) - 비비례 감쇠 구조 시스템 -)

  • Choi, Dong-Soo;Kim, Hyun-Gi;Cho, Maeng-Hyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.2 s.257
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    • pp.221-230
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    • 2007
  • An iterated improved reduced system (IIRS) procedure combined with sub-structuring scheme for nonclassically damped structural systems is presented. For dynamic analysis of such systems, complex eigenproperties are required to incorporate properly the nonclassical damping effect. In complex structural systems, the equations of motion are written in the state space from. Thus, the number of degrees of freedom of the new equations of motion and the size of the associated eigenvalue problem required to obtain the complex eigenvalues and eigenvectors are doubled. Iterated IRS method is an efficient reduction technique because the eigenproperties obtained in each iteration step improve the condensation matrix in the next iteration step. However, although this reduction technique reduces the size of problem drastically, it is not efficient to apply this technique to a single domain finite element model with degrees of freedom over several thousands. Therefore, for a practical application of the reduction method, accompanying sub-structuring scheme is necessary. In the present study, iterated IRS method combined with sub-structuring scheme for nonclssically damped structures is developed. Numerical examples demonstrate the convergence and the efficiency of a newly developed scheme.

Multi-Stage Turbo Equalization for MIMO Systems with Hybrid ARQ

  • Park, Sangjoon;Choi, Sooyong
    • Journal of Communications and Networks
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    • v.18 no.3
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    • pp.333-339
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    • 2016
  • A multi-stage turbo equalization scheme based on the bit-level combining (BLC) is proposed for multiple-input multiple-output (MIMO) systems with hybrid automatic repeat request (HARQ). In the proposed multi-stage turbo equalization scheme, the minimum mean-square-error equalizer at each iteration calculates the extrinsic log-likelihood ratios for the transmitted bits in a subpacket and the subpackets are sequentially replaced at each iteration according to the HARQ rounds of received subpackets. Therefore, a number of iterations are executed for different subpackets received at several HARQ rounds, and the transmitted bits received at the previous HARQ rounds as well as the current HARQ round can be estimated from the combined information up to the current HARQ round. In addition, the proposed multi-stage turbo equalization scheme has the same computational complexity as the conventional bit-level combining based turbo equalization scheme. Simulation results show that the proposed multi-stage turbo equalization scheme outperforms the conventional BLC based turbo equalization scheme for MIMO systems with HARQ.

Flow Analysis in the Fuel Chamber of Engine by Applying Turbulent Models (난류모형을 적용한 엔진 연료실의 유동해석)

  • Kwag Seung-Hyun
    • Journal of Navigation and Port Research
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    • v.30 no.5 s.111
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    • pp.369-374
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    • 2006
  • The flow analysis was made by applying the turbulent models in the complicated fuel chamber of engine. The $k-\varepsilon,\;k-\omega$, Spalart-Allmaras and reynolds stress models are used in which the hybrid grid is applied for the simulation. The velocity vector, the pressure contour, the change of residual along the iteration number, and the dynamic head are simulated for the comparison of four example cases. Computational results are compared with others. For the code's validation, 2-D bodies were simulated in advance by predicting the drag coefficients.

PASC Processor Architecture for Enhanced Loop Execution (루프를 효과적으로 처리하는 PASC 프로세서 구조)

  • Ji, Seung-Hyeon;Park, No-Gwang;Jeon, Jung-Nam;Kim, Seok-Il
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.5
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    • pp.1225-1240
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    • 1999
  • This paper proposes PASC(PArtitioned SCHeduler) processor architecture that equips with a number of functional unit and an individual scheduler paris. Every scheduler of the PASC processor can determine whether a unit instruction can be issued to the associated functional unit or it is to be waited until next cycle caused by a resource collision or data dependencies. In the PASC processor, only the functional unit with a resource collision or data dependencies waits by executing a NOP(No OPeration) instruction and the other functional units execute their own instructions. Therefore we can expect the code compaction effect on the PASC processor. Thus, the last instruction of a loop at certain iteration and the very first instruction of the loop at the next iteration can be scheduled simultaneously if the two instructions do not incur any resource collision or data dependencies. Therefore, we can expect that such two instructions without any resource collision and data dependencies are packed into the same very long instruction word and thus, the two instructions are executed concurrently at run time. As a result, we can shorten execution cycles of a loop comparing to the execution of the loop on a traditional VLIW or SVLIW processor architecture. Simulation result also promises faster execution of loops on a PASC processor architecture than those on a VLIW and SVLIW processor architecture.

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A Study on Image restoration Algorithm using LOG function character (LOG함수의 특성을 이용한 영상잡음제거(1))

  • Kwon, Kee-Hong
    • Journal of the Korea Computer Industry Society
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    • v.6 no.3
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    • pp.447-456
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    • 2005
  • This paper describes iterative restoration method of restoring blurred images using the LOG compansion function and Conjugate Gradient method. Conventional restoration methods results satisfy the requirement performance for restoring blurred images. but iteration number and convergence velocity increase. This paper proposed an opmtimised iteration restoration method for the images degraded by blurring effect, using the LOG compansion function and Conjugate Gradient method. Here, the LOG compansion function used to improve local properties of the image being restored, made the visual character and convergence velocity of the restored image improved. Throught the simulation results, the author showed that proposed algorithm produced superior performance results by conventional methods.

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Dual Doppler Wind Retrieval Using a Three-dimensional Variational Method (3차원 변분법을 사용한 이중 도플러 바람장 분석)

  • Lee, SeonYong;Choi, Young-Jean;Chan, Dong-Eon
    • Atmosphere
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    • v.17 no.1
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    • pp.69-86
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    • 2007
  • The characteristics of the dual-Doppler wind retrieval method based on a three dimensional variational (3DVAR) conception were investigated from the following four points of view; the sensitivity of the number of iteration, the effect of the weak constraint term, the effect of the smoothness term, and the sensitivity of the error mixing ratio of the radial velocities. In the experiment, the radial velocities relative to the Gosan and Jindo radar sites of the Korea Meteorological Administration (KMA) were calculated from the forecasting of the WRF (Weather Research and Forecast; Skamarock, 2004) model at 1330 UTC 30 June 2006, which is the one and half hour forecast from the initial time, 1200 UTC on that day. The results showed that the retrieval performance of the horizontal wind field was robust, but that of the vertical wind was sensitive to the external conditions, such as iteration number and the on/off of the weak constraint term. The sensitivity of error mixing ratio was so large that even the horizontal wind retrieval efficiency was reduced a lot. But the sensitivity of the smooth term was not so large. When we applied this method to the real mesoscale convective system (MCS) between the Gosan and Jindo radar pair at 1430 UTC 30 June 2006, the wind structure of the convective cells in the MCS was consistently retrieved relative to the reflectivity factor structure. By comparing the vertical wind structure of this case with that of 10 minutes after, 1440 UTC 30 June 2006, we got the physical consistency of our method.

Multi-carriers PAPR Reduction Method using Adaptive Sub-optimal PTS with Threshold (다중반송파 PAPR 감소를 위한 임계치 적용 적응 부최적 PTS 기법 연구)

  • 권오주;하영호
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.26 no.12A
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    • pp.2012-2018
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    • 2001
  • This paper proposes the adaptive suboptimal iterative algorithm using threshold to reduce system complexity in the PTS\`s. Performance of the proposed adaptive suboptimal iteration algorithm is represented in terms of iteration number and CDF. In the case of the number of sub-block is 4, the 10-3 PAPR of the proposed method and P S improved this by 0.4dB compared to Cimini\`s. And the complexity of the proposed method was reduced to nearly 22% for the PTS\`s and 44% for the Cimini\`s for 8dB threshold. For the 8 sub-blocks, the 10$\^$-3/ PAPR of the proposed method reduced by 0.7dB compared to PTS\`s, but improved by 0.4dB compared to Cimini\`s. And the complexity of the proposed method was reduced to nearly 2.4% for the PTS\`s and 39% for the Cimini\`s.

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