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  • RPI SCOREC - Technical Reports
    Abstract A geometry based framework for hp adaptive finite elements is presented The framework builds on a two level decomposition of the shape functions which directly support the specification of variable p order meshes Numerical integration employs domain shape information

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=169 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    and Control of Finite Element Meshes Year 1996 Journal Applied Mechanics Review Volume 49 10 Pages S5 S14 Abstract This paper updates the status of efforts on the development of automatic mesh generation techniques for general three dimensional domains The technical areas reviewed include i issues associated with automatic mesh generation of CAD geometric models ii local mesh modification procedures for improving mesh quality iii advances in tetrahedral mesh generators

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=170 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Shephard Title Automated Multiple Scale Fracture Analysis Year 1996 Abstract This paper discusses a system for automated analysis of crack propagation in heterogeneous materials The system uses a multiscale analysis technique to account for the effect of the microstructure on the propagation of the crack The multiscale analysis allows the microstructure of the composite to be explicitly represented in the vicinity of the crack front while using homogenized material properties

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=172 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Grid Generation Year 1996 Pages Editor Abstract This paper considers the issues associated with the development of a scalable parallel automatic three dimensional mesh generator Emphasis is on the distributed octree structure used to control the parallelization of the mesh

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=173 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Order Meshes Year 1996 Journal Computer Methods in Applied Mechanics and Engineering Volume 147 Pages 209 233 Abstract This paper describes a method for specifying variable p order meshes based on the topological hierarchy of mesh entities defining the finite elements A decomposition of p version mesh entity shape functions into a product of a function defined over the mesh entity and a blending function defined over the elements that

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=174 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    we derive a close form expression relating arbitrary eigenstrains to the mechanical fields in the phases The overall structural response is computed using an averaging scheme by which phase concentration factors are computed in the average sense for each micro constituent and history data is updated at two points reinforcement and matrix in the microstructure one for each phase Macroscopic history data is stored in the database and then subjected

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=175 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Solver for the p Version of Finite Element Method Year 1996 Journal International Journal for Numerical Methods in Engineering Volume 40 Pages 1767 1784 Abstract An adaptive solver for large scale hierarchic finite element systems has been developed A decision making methodology aimed at selecting an optimal solution strategy on the basis of estimated conditioning sparsity and memory requirements for a given problem has been devised Numerical experiments have been

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=176 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    of two dimensional elliptic and parabolic problems on meshes of rectangular elements We show that error estimates for piecewise bi p polynomial spaces obtained from jumps in solution gradients at element vertices when p is odd and from local elliptic or parabolic problems when p is even extend to other solution spaces In particular we establish that these error estimates converge at the same rate as the actual error for

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=177 (2015-07-15)
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