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  • Open Access

    ARTICLE

    Error Reduction in Gauss-Jacobi-Nyström Quadraturefor Fredholm Integral Equations of the Second Kind

    M. A. Kelmanson1 and M. C. Tenwick1

    CMES-Computer Modeling in Engineering & Sciences, Vol.55, No.2, pp. 191-210, 2010, DOI:10.3970/cmes.2010.055.191

    Abstract A method is presented for improving the accuracy of the widely used Gauss-Legendre Nyström method for determining approximate solutions of Fredholm integral equations of the second kind on finite intervals. The authors' recent continuous-kernel approach is generalised in order to accommodate kernels that are either singular or of limited continuous differentiability at a finite number of points within the interval of integration. This is achieved by developing a Gauss-Jacobi Nyström method that moreover includes a mean-value estimate of the truncation error of the Hermite interpolation on which the quadrature rule is based, making it particularly More >

  • Open Access

    ABSTRACT

    A Post-processing for the reduction of blocking artifact in mobile devices

    Dae-Hyun Park1, Hyun-Hee Park2, Yoon Kim1

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.11, No.4, pp. 113-114, 2009, DOI:10.3970/icces.2009.011.113

    Abstract In this paper, we propose a post-processing visual enhancement technique to reduce the blocking artifacts in block based DCT decoded image for mobile devices that has allocation of the restricted resource. This algorithm uses the adaptive deblocking filter to remove grid noise and ringing noise in monotone areas. To decide whether monotone region or not, we introduce a notion of Flatness. Also, a new directional filter is utilized to get rid of staircase noise and preserve the original edge component. The directional filter is applied according to the direction of edge, which is corrected in More >

  • Open Access

    ARTICLE

    Compact Modelling of Electric Arc Furnace Electrodes for Vibration Analysis, Detection and Suppression

    E. Brusa1, E. Franceschinis2, S. Morsut2

    CMES-Computer Modeling in Engineering & Sciences, Vol.42, No.2, pp. 75-106, 2009, DOI:10.3970/cmes.2009.042.075

    Abstract Electrodes motion and positioning are critical issues of the Electric Arc Furnace (EAF) operation in steelmaking process. During the melting process electrode is exposed to some impulsive and harmonic forces, superimposing to the structure's static loading. Unfortunately, structural vibration may interact with the electric arc regulation, because of the dynamic resonance. Instability in the furnace power supplying and dangerous electrode breakage may occur as a consequence of those dynamic effects. In this paper the dynamic behaviour of a real EAF structure is discussed and some numerical models are proposed. Available experimental data, collected by a… More >

  • Open Access

    ABSTRACT

    About the POD Model Reduction in Computational Mechanics for Nonlinear Continuous Dynamical Systems

    R. Sampaio1, C. Soize2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.2, No.4, pp. 93-100, 2007, DOI:10.3970/icces.2007.002.093

    Abstract An analysis of the efficiency of the reduced models constructed using the POD-basis and the LIN-basis is presented in nonlinear dynamics for continuous elastic systems discretized by the finite element method. The POD-basis is the basis constructed with the POD method while the LIN-basis is the basis derived from the generalized eigenvalue problem associated with the underlying linear conservative part of the system and usually called the eigenmodes of vibration. The efficiency of the POD-basis or the LIN-basis is related to the speed of convergence in the frequency domain of the solution constructed with the More >

  • Open Access

    ABSTRACT

    Coupling of Natural Boundary Element Method and Finite Element Method for Three-dimensional Nonlinear Interface Problem

    Hong-ying Huang2,1, De-hao Yu 2

    The International Conference on Computational & Experimental Engineering and Sciences, Vol.2, No.3, pp. 67-74, 2007, DOI:10.3970/icces.2007.002.067

    Abstract In this paper, we apply the coupling of natural boundary element method and finite element method to solve a three-dimensional nonlinear interface problem. Two equations are coupled by interface conditions on the interface boundary. A spherical surface as the artificial boundary is introduced. The equivalent coupled variational problem is described. The existence and uniqueness of the solution of concerned problem as well as the estimates of its approximate solution are obtained. Some numerical examples are presented to demonstrate the effectiveness of this method. More >

  • Open Access

    ARTICLE

    Robust Reduction Method for Biomolecules Modeling

    Kilho Eom1, Jeong-Hee Ahn2, Seung-Chul Baek2, Jae-In Kim2, Sungsoo Na2,3

    CMC-Computers, Materials & Continua, Vol.6, No.1, pp. 35-42, 2007, DOI:10.3970/cmc.2007.006.035

    Abstract This paper concerns the application and demonstration of robust reduction methodology for biomolecular structure modeling, which is able to estimate dynamics of large proteins. The understanding of large protein dynamics is germane to gain insight into biological functions related to conformation change that is well described by normal modes. In general, proteins exhibit the complicated potential field and the large degrees of freedom, resulting in the computational prohibition for large protein dynamics. In this article, large protein dynamics is investigated with modeling reduction schemes. The performance of hierarchical condensation methods implemented in the paper is More >

  • Open Access

    ARTICLE

    A dimensional reduction of the Stokes problem

    Olivier Ricou1, Michel Bercovier2

    CMES-Computer Modeling in Engineering & Sciences, Vol.3, No.1, pp. 87-102, 2002, DOI:10.3970/cmes.2002.003.087

    Abstract In this article, we present a method of reduction of the dimension of the Stokes equations by one in a quasi-cylindrical domain. It takes the special shape of the domain into account by the use of a projection onto a space of polynomials defined over the thickness. The polynomials are defined to fit as well as possible with the variables they approximate. Hence, this method restricted to the first polynomial, recovers the Hele-Shaw approximation.
    The convergence of the approximate solution to the continuous one is shown. Under a regularity hypothesis, we also obtain error estimates. More >

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