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  • RPI SCOREC - Technical Reports
    algorithm utilizes pointwise curvature sampling on the model boundary through a well defined geometric operator which queries the geometric modeler for the principal curvatures and the principal directions The refinement algorithm has been implemented and tested within the existing Finite Octree mesh generator The thesis also presents two useful approaches to control mesh gradation based on curvature and presents example meshes to provide input for comparing the two approaches The

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=292 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    a Periodic Heterogeneous Medium Year 1993 Abstract Quantification of idealization errors associated with homogenization of periodic heterogeneous medium is presented The proposed Microscale Reduction Error MRE estimators and indicators are based on estimating the uniform validity properties of the double

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=294 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    1993 Pages Editor Abstract We examine the solution of parabolic partial differential systems in one and two space dimensions by adaptive finite element method of lines procedures that automatically refine and coarsen computational meshes vary the degree of the piecewise polynomial basis and in one dimension move the computational mesh Two dimensional meshes of triangular quadrilateral or a mixture of triangular and quadrilateral elements are generated using a finite quadtree

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=295 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Brownian rotation The new method is completely general in the sense that it generates the solution to a Fokker Planck equation with arbitrary diffusion coefficients We derive accurate expressions for the diffusion coefficients of refractory grains with ice mantles on the ad hoc hypothesis that the grains rotate with thermal kinetic energies We include the effects of internal dissipation by Barnett relaxation or rotational anelasticity Larmor precession gas grain collisions

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=296 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Year 1993 Abstract We introduce a new type of planar graph called a triangle graph We present a formal way of constructing and characterizing triangle graphs show that they are three colorable and show that they characterize adjacencies of arbitrary

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=297 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    for Parabolic Systems Year 1993 Abstract We describe an adaptive method of lines hp refinement algorithm in space and time for one dimensional vector systems of parabolic partial differential equations Solutions are calculated using Galerkin s method with a piecewise polynomial hierarchical basis in space and singly implicit Runge Kutta SIRK methods in time A posteriori estimates of the local spatial and temporal discretization error are used with a priori

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=298 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    finite element methods for the solution of hyperbolic conservation laws in one and two dimensions Spatial discretization is performed by a discontinuous Galerkin finite element method using a basis of piecewise Legendre polynomials Temporal discretization utilizes a Runge Kutta method Dissipative fluxes and projection limiting prevent oscillations near solution discontinuities A posteriori estimates of spatial errors are obtained by a p refinement technique using superconvergence at Radau points The resulting

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=299 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Volume 26 Pages Editor J M Tarbell Abstract An enhanced procedure is presented for the three dimensional 3 D finite element analysis of soft hydrated tissue layers such as articular cartilage This procedure is built from the following operations i precise tissue layer geometry is obtained via stereophotogrammetry SPG ii a finite element mesh of tetrahedral elements is constructed using the Finite Octree automatic mesh generator iii a 3 D

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=300 (2015-07-15)
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