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Marco Vianello: work on Interpolation and Integration Methods for PDEs

online publications and preprints (downloadable pdf)


  1. Low-cardinality Positive Interior cubature on NURBS-shaped domains
    draft, with A. Sommariva

  2. Algebraic cubature on polygonal elements with a circular edge
    preprint, with E. Artioli and A. Sommariva
    Comput. Math. Appl. 79 (2020), 2057--2066

  3. On the use of compressed polyhedral quadrature formulas in embedded interface methods
    preprint, with Y. Sudhakar, A. Sommariva and W.A. Wall
    SIAM J. Sci. Comput. 39 (2017), B571-B587
    such formulas have been used within the parallel multiphysics finite-element research code BACI
    developed at the Institute for Computational Mechanics, TUM Muenchen


  4. On the generation of symmetric Lebesgue-like points in the triangle
    preprint, with F. Rapetti and A. Sommariva
    J. Comput. Appl. Math. 236 (2012), 4925--4932

  5. A massively parallel exponential integrator for advection-diffusion models
    preprint, with L. Bergamaschi, M. Caliari and A. Martinez
    J. Comput. Appl. Math. 231 (2009), 82--91

  6. The LEM exponential integrator for advection-diffusion-reaction equations
    preprint, with L. Bergamaschi and M. Caliari
    J. Comput. Appl. Math. 210 (2007), 56--63

  7. A parallel exponential integrator for large-scale discretizations of advection-diffusion models
    preprint, with L. Bergamaschi, M. Caliari and A. Martinez
    Springer LNCS vol. 3666, 2005 (Proc. of Euro PVM MPI 2005, Sorrento, Italy), 483--492

  8. The ReLPM exponential integrator for FE discretizations of advection-diffusion equations
    preprint, with L. Bergamaschi and M. Caliari
    Springer LNCS vol. 3039, part IV, 2004 (Proc. of ICCS 2004, Krakow, Poland), 434--442

  9. Interpolating discrete advection-diffusion propagators at Leja sequences
    preprint, with L. Bergamaschi and M. Caliari
    J. Comput. Appl. Math. 172 (2004), no. 1, 79--99