Marco Vianello: work on Interpolation and Integration Methods for PDEs

online publications and preprints (downloadable pdf)

TetraFreeQ: tetrahedra-free quadrature on polyhedral elements
draft, with A. Sommariva
Low-cardinality Positive Interior cubature on NURBS-shaped domains
draft, with A. Sommariva
BIT Numer. Math., accepted upon revision
Algebraic cubature on polygonal elements with a circular edge
preprint, with E. Artioli and A. Sommariva
Comput. Math. Appl. 79 (2020), 2057--2066
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
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
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
The LEM exponential integrator for advection-diffusion-reaction equations
preprint, with L. Bergamaschi and M. Caliari
J. Comput. Appl. Math. 210 (2007), 56--63
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
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
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