Hyperbolic Form

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Kashif Rehan - One of the best experts on this subject based on the ideXlab platform.

  • level set shape analysis of binary 4 point non stationary interpolating subdivision scheme
    International Journal of Applied and Computational Mathematics, 2019
    Co-Authors: Khalida Bibi, Ghazala Akram, Kashif Rehan
    Abstract:

    In this paper, the shape properties of the non-stationary binary four-point interpolating scheme (Beccari et al. in Comput Aided Geom Des 24(1):1–9, 2007) for the Hyperbolic Form are explored. Sufficient conditions to preserve positivity, monotonicity and convexity are derived, which are imposed on the initial data, to ensure the shape preservation of curves generated after a finite number of iterations. A useful generalization of this application will provide the user to work with a different tension parameter during each refinement level, which generates \(C^1\)-continuous curves exhibiting extensive variations with respect to shape preservation. The shape preserving conditions have also been exposed with the help of different examples.

  • Chaikin’s perturbation subdivision scheme in non-stationary Forms
    Alexandria Engineering Journal, 2016
    Co-Authors: Wardat Us Salam, Shahid S. Siddiqi, Kashif Rehan
    Abstract:

    Abstract In this paper two non-stationary Forms of Chaikin’s perturbation subdivision scheme, mentioned in Dyn et al. (2004), have been proposed with tension parameter ω . Comparison among the proposed subdivision schemes and the existing non-stationary subdivision scheme depicts that the trigonometric Form is more efficient in the reproduction of circles and ellipses and the Hyperbolic Form is more suitable for the construction of many analytical curves.

James W. York - One of the best experts on this subject based on the ideXlab platform.

  • Mixed Elliptic and Hyperbolic Systems for the Einstein Equations
    arXiv: General Relativity and Quantum Cosmology, 1996
    Co-Authors: Yvonne Choquet-bruhat, James W. York
    Abstract:

    We analyse the mathematical underpinnings of a mixed Hyperbolic-elliptic Form of the Einstein equations of motion in which the lapse function is determined by specified mean curvature and the shift is arbitrary. We also examine a new recently-published first order symmetric Hyperbolic Form of the equations of motion. This paper is dedicated to Andre Lichnerowicz on the occasion of his 80th birthday and will appear in a volume edited by G. Ferrarese.

  • (3+1) General relativity in Hyperbolic Form
    1996
    Co-Authors: A. M. Abrahams, James W. York
    Abstract:

    This paper focuses on the imposition of boundary conditions for numerical relativity simulations of black holes. This issue is used to motivate the discussion of a new Hyperbolic Formulation of 3+1 general relativity. The paper will appear in the Proceedings of the Les Houches School on Astrophysical Sources of Gravitational Radiation, 1995, edited by J.-A. Marck and J.-P. Lasota to be published by Springer-Verlag.

  • Einstein and Yang-Mills theories in Hyperbolic Form without gauge fixing
    Physical review letters, 1995
    Co-Authors: Andrew Abrahams, Arlen Anderson, Yvonne Choquet-bruhat, James W. York
    Abstract:

    The evolution of physical and gauge degrees of freedom in the Einstein and Yang-Mills theories are separated in a gauge-invariant manner. We show that the equations of motion of these theories can always be written in fluxconservative first-order symmetric Hyperbolic Form. This dynamical Form is ideal for global analysis, analytic approximation methods such as gaugeinvariant perturbation theory, and numerical solution.

Mervat Abdulgader Fadaaq - One of the best experts on this subject based on the ideXlab platform.

Galina V. Ustyugova - One of the best experts on this subject based on the ideXlab platform.

  • An approximate Riemann solver for relativistic magnetohydrodynamics
    Monthly Notices of the Royal Astronomical Society, 2002
    Co-Authors: A. V. Koldoba, O. A. Kuznetsov, Galina V. Ustyugova
    Abstract:

    ABSTRA C T A Godunov-type scheme for relativistic magnetohydrodynamic (MHD) equations is developed. We consider the Maxwell equations and dynamic equations for a gas with perfect conductivity in Hyperbolic Form as was suggested by van Putten. To calculate the fluxes of conservative variables through cells’ interfaces we suggest an algorithm for the solution of the linearized Riemann problem. ‘Primitive’ variables are calculated by solving a non-linear system using the Newton method.

Balasingam Muhunthan - One of the best experts on this subject based on the ideXlab platform.

  • new pressure void ratio relationship for structured soils in the virgin compression range
    Journal of Geotechnical and Geoenvironmental Engineering, 2014
    Co-Authors: Bishwajit Chowdhury, Asadul Haque, Balasingam Muhunthan
    Abstract:

    AbstractThe pressure–void ratio relationship of many structured soils in the virgin compression range is highly nonlinear. The initial part of the compression curve is characterized by the breakdown of structures, whereas the behavior in the postdestructuration range is influenced by soil mineralogy. A robust pressure–void ratio relationship should include parameters that account for the distinct mechanisms that control the behavior in the destructuration and postdestructuration ranges. A new pressure–void ratio relationship based on a modified secant compression index is proposed. It is shown that the variation of the proposed secant compression index with a logarithm of pressure can be approximated by a Hyperbolic Form with two parameters. The new relationship has been verified in a wide range of naturally structured soils. Parametric studies conducted show that one parameter controls the compression behavior within the stress range where the destructuration is dominant, and the other parameter controls...

  • New Pressure–Void Ratio Relationship for Structured Soils in the Virgin Compression Range
    Journal of Geotechnical and Geoenvironmental Engineering, 2014
    Co-Authors: Bishwajit Chowdhury, Asadul Haque, Balasingam Muhunthan
    Abstract:

    AbstractThe pressure–void ratio relationship of many structured soils in the virgin compression range is highly nonlinear. The initial part of the compression curve is characterized by the breakdown of structures, whereas the behavior in the postdestructuration range is influenced by soil mineralogy. A robust pressure–void ratio relationship should include parameters that account for the distinct mechanisms that control the behavior in the destructuration and postdestructuration ranges. A new pressure–void ratio relationship based on a modified secant compression index is proposed. It is shown that the variation of the proposed secant compression index with a logarithm of pressure can be approximated by a Hyperbolic Form with two parameters. The new relationship has been verified in a wide range of naturally structured soils. Parametric studies conducted show that one parameter controls the compression behavior within the stress range where the destructuration is dominant, and the other parameter controls...