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    Parallel simulations of 3d DC borehole resistivity measurements with goaloriented self-adaptive hp finite element method

    Access Status
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    Authors
    Paszynski, M.
    Pardo, D.
    Calo, Victor
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Paszynski, M. and Pardo, D. and Calo, V. 2012. Parallel simulations of 3d DC borehole resistivity measurements with goaloriented self-adaptive hp finite element method. Journal of the Serbian Society for Computational Mechanics. 6 (2): pp. 1-18.
    Source Title
    Journal of the Serbian Society for Computational Mechanics
    ISSN
    1820-6530
    School
    Department of Applied Geology
    URI
    http://hdl.handle.net/20.500.11937/51311
    Collection
    • Curtin Research Publications
    Abstract

    In this paper we present a parallel algorithm of the goal-oriented self-adaptive hp Finite Element Method (hp-FEM) with shared data structures and with parallel multi-frontal direct solver. The algorithm generates in a fully automatic mode (without any user interaction) a sequence of meshes delivering exponential convergence of the prescribed quantity of interest with respect to the mesh size (number of degrees of freedom). The sequence of meshes is generated from the prescribed initial mesh, by performing h (breaking elements into smaller elements), p (adjusting polynomial orders of approximation) or hp (both) refinements on selected finite elements. The new parallel implementation utilizes a computational mesh shared between multiple processors. We describe the parallel self-adaptive hp-FEM algorithm with shared computational domain, as well as its efficiency measurements. The presentation is enriched by numerical simulation of the problem of through casing 3D DC borehole resistivity measurement simulations in presence of invasion.

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