Joël Wagner
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Wagner
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  • Publication
    Finite Element Methods with patches and Applications
    (Springer, 2005-01-13)
    Glowinski, Roland
    ;
    He, Jiwen
    ;
    Lozinski, Alexei
    ;
    Picasso, Marco
    ;
    Rappaz, Jacques
    ;
    Rezzonico, Vittoria
    ;
    Wagner, Joël
    ;
    Widl, Olof B.
    ;
    Keyes, David E.
    We present a new method [7] for numerically solving elliptic problems with multi-scale data using multiple levels of not necessarily nested grids. We use a relaxation method that consists of calculating successive corrections to the solution in patches of finite elements. We analyse the spectral properties of the iteration operator [6]. We show how to evaluate the best relaxation parameter and what is the influence of patches size on the convergence of the method. Several numerical results in 2D and 3D are presented.
    Type: conference paper
    Journal: Lecture Notes in Computational Science and Engineering
    Volume: Volume 55
    DOI: 10.1007/978-3-540-34469-8_7
    URI: https://www.alexandria.unisg.ch/handle/20.500.14171/85066
    Scopus© Citations 1