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  • RPI SCOREC - Technical Reports
    728 746 Issue 2 Publisher Society for Industrial and Applied Mathematics Abstract Babuska and Yu constructed a posteriori estimates for finite element discretization errors of linear elliptic problems utilizing a dichotomy principal stating that the errors of odd order approximations arise near element edges as mesh spacing decreases while those of even order approximations arise in element interiors We construct similar a posteriori estimates for the spatial errors of finite

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=134 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    trees defined by recursive subdivision methods in the automatic generation of numerical analysis grids The application of recursive subdivision over a spatial domain begins with a regular shape which is subdivided in some regular manner into a number of similarly shaped pieces to be referred to as tree cells The subdivision process is recursively applied until the smallest individual cells satisfy a given criteria This subdivision process leads naturally to

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=135 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Parallel Unstructured Grid Generation Year 1997 Journal CRC Handbook of Grid Generation Volume Pages 24 1 24 16 Abstract Scalable parallel computers have enabled researchers to apply finite element and finite volume analysis techniques to larger and larger problems As problem sizes have grown into millions of grid points the task of meshing models on a serial machine has become a bottleneck for two reasons i it will take too

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=136 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    an approximate solution to a boundary value problem describing the finite deformation plasticity of heterogeneous structures are developed 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 macro problem subdomains where modeling errors are small whereas elsewhere a more detailed mathematical model based on piecewise constant approximation of eigenstrains and elastic concentration

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=137 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Title Automated Analyses of Three Dimensional Composite Unit Cells Year 1997 Abstract This paper describes automated tools for the analysis of three dimensional composite unit cells via the finite element method These tools include an automated matched mesh generation algorithm a constituent mesh volume fraction adjustment algorithm and an iterative solver with efficient handling of the multiple right hand sides necessary for homogenization analyses The described algorithms are used to

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=138 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    We provide an overview of data structures suitable for distributed storage of finite element mesh data as well as software designed for mesh adaptation and load balancing During the course of a parallel computation processor load imbalances are introduced at adaptive enrichment steps The predictive load balancing methods described here use a priori estimates of work load for adaptive refinement and subsequent computation to improve enrichment efficiency and reduce total

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=139 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Adaptive Woven Composite Finite Element Analyses Year 1997 School Mechanical Engineering Institution RPI Abstract The use of three dimensional finite element methods eliminates the need to make the modeling simplifications necessary for two dimensional analyses but substantially increases computational cost Increasingly sophisticated analysis techniques and improvements in computing hardware have made three dimensional methods more attractive but the need still exists to reduce the time required to perform these analyses

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=140 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Layers Year 1997 Pages Editor Abstract The problem of generating unstructured tetrahedral meshes for viscous flow simulations in complex non manifold domains starting from a geometric model is addressed The method adopted to generate the boundary layer mesh is the Generalized Advancing Layers technique incorporating a number of features essential for the creation of valid and good quality meshes The procedures have been tested on a number of complex models

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=142 (2015-07-15)
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