Papers and preprints

  1. Paola F. Antonietti, Carlo Marcati, Ilario Mazzieri, and Alfio Quarteroni. High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation. Numerical Algorithms, 71(1):181--206, 2015. bib | abstract | http ]
    In this work we apply the discontinuous Galerkin (dG) spectral element method on meshes made of simplicial elements for the approximation of the elastodynamics equation. Our approach combines the high accuracy of spectral methods, the geometrical flexibility of simplicial elements and the computational efficiency of dG methods. We analyze the dissipation, dispersion and stability properties of the resulting scheme, with a focus on the choice of different sets of basis functions. Finally, we apply the method on benchmark as well as realistic test cases.
    @article{Antonietti2015,
    author = {Antonietti, Paola F.
    and Marcati, Carlo
    and Mazzieri, Ilario
    and Quarteroni, Alfio},
    title = {High order discontinuous Galerkin methods on simplicial elements for the elastodynamics equation},
    journal = {Numerical Algorithms},
    year = {2015},
    volume = {71},
    number = {1},
    pages = {181--206},
    issn = {1572-9265},
    doi = {10.1007/s11075-015-0021-7},
    url = {http://dx.doi.org/10.1007/s11075-015-0021-7}
    }
    

Conference presentations and seminar talks

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Fellowships and grants