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  • RPI SCOREC - Technical Reports
    simulations of the Navier Stokes equations has motivated the study of high order piecewise polynomial basis functions also known as k version finite element methods as a means to attain this accuracy in the most cost effective manner Stabilized finite element methods e g SUPG have been proven to attain optimal rates of convergence for any polynomial order basis as well as perform well on a variety of flows including

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=66 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Element Bases for Triangular and Tetrahedral Elements Year 1999 Journal Computer Methods in Applied Mechanics and Engineering Volume 190 Pages 2925 2941 Abstract We describe a hierarchical basis for the p version of the finite element method in two and

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=67 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    gradients across thin sections typically require meshes with multiple elements through these sections to accurately capture the solution Most the of the published techniques for isotropic mesh generation are not suited for the creation of such meshes in general arbitrarily complex non manifold domains In this paper an automatic method is described for identification of thin sections of a domain and anisotropic refinement of an initial mesh to introduce a

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=68 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Year 1999 Journal Applied Numerical Mathematics Volume 30 Pages 475 491 Abstract We describe a method for solving parabolic partial differential equations PDEs using local refinement in time Different time steps are used in different spatial regions based on a domain decomposition finite element method Extrapolation methods based on either a linearly implicit mid point rule or a linearly implicit Euler method are used to integrate in time Extrapolation methods

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=69 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Mesh Generation in 3D Year 1999 Journal Computer Aided Design Volume 33 Pages 199 209 Abstract Issues related to curvilinear mesh generation starting from a CAD model are addressed Curvilinear mesh geometry representation in the context of p version finite elements and its impact on the validity of curvilinear meshes is discussed A set of meshing tools is described for generation and modification of curved meshes in three dimensional space

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=70 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    is then demonstrated numerically to yield nearly optimal rates of convergence with respect to the interpolation error A second order accurate implicit time integrator with user controllable numerical dissipation is also presented for advancing the semidiscrete system of equations in time This time integrator is proven to be stable and second order accurate for a linear model problem and demonstrated to have excellent characteristics on more complicated flows A variety

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=71 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Global Basis Two Level Method for Indefinite Systems Part 1 Convergence Studies Year 1999 Journal International Journal for Numerical Methods in Engineering Volume 49 Pages 439 460 Abstract A robust two level solver for highly indefinite system of equations arising from the finite element discretization is developed It is shown that the optimal coarse model is spanned by the spectrum of the highest eigenmodes of the smoothing iteration matrix Convergence

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=72 (2015-07-15)
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  • RPI SCOREC - Technical Reports
    Problems Year 1999 Journal Engineering with Computers Volume 15 4 Pages 356 374 Abstract This paper focuses on the issues dealing with automation of the 3 D modeling of forming processes specifically addressing i automatic remeshing of the deformed workpiece ii the use of the CAD geometry of die for contact checks within the analysis and iii curvature compensation of nodes on the free surface to make the simulations more

    Original URL path: http://www.scorec.rpi.edu/reports/view_report.php?id=74 (2015-07-15)
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