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  • RPI SCOREC - Technical Reports
    dependent on the overhead incurred by rollbacks This paper introduces a novel approach to rollback processing which limits the number of events rolled back as a result of a straggler or antimessage The method called Breadth First Rollback BFR is suitable for spatially explicit problems where the space is discretized and distributed among processes and simulation objects move freely in the space The BFR uses incremental state saving allowing the

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=161 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Year 1997 Journal Applied Numerical Mathematics Volume 23 Pages 241 258 Abstract A hierarchical version of the composite grid method denoted as HFAC which exploits the solution of the shell model in studying local effects via a 3D solid model is developed Convergence studies on a beam 2D model problem indicate that the spectral radius of the point iteration matrix for the HFAC method is O 1 and O L

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=162 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    shell elements typically up to polynomial order six For thin shells hierarchical assumed strain elements with five degrees of freedom two rotations and three mid plane translations and six degrees of freedom three translations on the top and bottom surfaces of the shell per hierarchical mode have been formulated Hierarchical in plane modes are adaptively selected on the basis of their ability to reduce solution errors For thick shells both

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=163 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    ABAQUS Year 1997 Abstract A methodology for explicit formulation of the tangent stiffness matrix consistent with incrementally objective algorithms for integrating finite deformation kinematics and with closest point projection algorithms for integrating material response is developed in the context of

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=164 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Viscoplasticity for Composite Materials and Structures Year 1997 Journal Journal of Composites I Volume 29 Pages 613 619 Abstract The paper extends a recently developed theory of mathematical homogenization with eigenstrains to account for viscous effects A unified mathematical and

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=165 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    ensure that the direct portion of the solution does not dominate the total computational cost Adaptivity in terms of a priori selection of the number of levels one or more and construction of the optimal multilevel preconditioner is the key to the robustness of the method The number of levels is selected on the basis of estimated conditioning sparsity of the factor and available memory The auxiliary coarse models if

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=166 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    We develop computational models and adaptive modeling strategies for obtaining an approximate solution to a boundary value problem describing the finite deformation plasticity of heterogeneous structures A nearly optimal mathematical model consists of an averaging scheme based on approximating eigenstrains and elastic concentration factors in each micro phase by a constant in the portion of the macro domain where modeling errors are small whereas elsewhere a more detailed mathematical model

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=167 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    A Suvorov Title Towards Robust Two Level Methods for Indefinite Systems Year 1997 Abstract We present a black box two level solver for indefinite algebraic linear system of equations arising from the finite element discretization Numerical experiments show the applicability

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=168 (2015-07-15)
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