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  • Mesh smoothing with global optimization under constraints
    Kulovec, Simon ; Kos, Leon, 1966- ; Duhovnik, Jože, 1948-
    Mesh (pre)processing remains an important issue for obtaining useful meshes used in mechanical engineering, especially for finite element calculations. An efficient and robust combination of ... constrained mesh smoothing together with global optimization based algorithm is presented. In contrast to other popular mesh smoothing algorithms that use only local diffusion approaches to smoothing we propose Lagrange-Newton Sequential Quadratic Optimization (LNO) with constraints that can satisfy local and global cost functions, respecting posed constraints. Local cost function is modeled with local average edge length, while global cost function includes barycenter and global average edge length. Experiments with triangular, quadrilateral, and mixed meshes show flexibility of the proposed method to achieve near ideal elements for given input meshes. Convergence is presented for several 2D and 3D meshes. Various additional goals can be mixed over the area of interest with applied weights. In contrast to other methods, unconstrained meshes still preserve their global shape while improving local quality.
    Vir: Strojniški vestnik = Journal of mechanical engineering. - ISSN 0039-2480 (Vol. 57, no. 7/8, jul.-avg. 2011, str. 555-567)
    Vrsta gradiva - članek, sestavni del
    Leto - 2011
    Jezik - angleški
    COBISS.SI-ID - 11951643