A method for anisotropic mesh adaptation and optimization for high-order discontinuous Galerkin schemes is presented. Given the total number of degrees of freedom, a metric-based method is proposed, which aims to globally optimize the mesh with respect to the L q norm of the error. This is done by minimizing a suitable error model associated with the approximation space. Advantages of using a metric-based method in this context are several. First, it facilitates changing and manipulating the mesh in a general anisotropic way. Second, defining a suitable continuous interpolation operator allows the use of an analytic optimization framework that operates on the metric field, rather than the discrete mesh. The formulation of the method is presented as well as numerical experiments in the context of convection–diffusion systems.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Mesh Optimization for Discontinuous Galerkin Methods Using a Continuous Mesh Model


    Contributors:

    Published in:

    AIAA Journal ; 56 , 10 ; 4060-4073


    Publication date :

    2018-10-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English




    Mesh Adaptation and Optimization for Discontinuous Galerkin Methods Using a Continuous Mesh Model

    Rangarajan, Ajay Mandyam / Balan, Aravind / May, Georg | AIAA | 2016


    Mesh Adaptation and Optimization for Discontinuous Galerkin Methods Using a Continuous Mesh Model (AIAA 2016-2142)

    Rangarajan, Ajay Mandyam / Balan, Aravind / May, Georg | British Library Conference Proceedings | 2016



    ADJOINT-BASED ANISOTROPIC MESH ADAPTATION FOR DISCONTINUOUS GALERKIN METHODS USING A CONTINUOUS MESH MODEL (AIAA 2017-3100)

    Rangarajan, Ajay Mandyam / May, Georg / Dolejsi, Vit | British Library Conference Proceedings | 2017