61 citations · 416 across the 21 of their papers we have counts for
4 papers · 1 filter
Nonconforming Virtual Element basis functions for space-time Discontinuous Galerkin schemes on unstructured Voronoi meshes
Walter Boscheri, Giulia Bertaglia
We introduce a new class of Discontinuous Galerkin (DG) methods for solving nonlinear conservation laws on unstructured Voronoi meshes that use a nonconforming Virtual Element basi…
Gradient-based Monte Carlo methods for relaxation approximations of hyperbolic conservation laws
Giulia Bertaglia, Lorenzo Pareschi, Russel E. Caflisch
Particle methods based on evolving the spatial derivatives of the solution were originally introduced to simulate reaction-diffusion processes, inspired by vortex methods for the N…
A new family of semi-implicit Finite Volume / Virtual Element methods for incompressible flows on unstructured meshes
Walter Boscheri, Andrea Chiozzi, Michele Giuliano Carlino +1
We introduce a new family of high order accurate semi-implicit schemes for the solution of non-linear hyperbolic partial differential equations on unstructured polygonal meshes. Th…
Multiscale constitutive framework of 1D blood flow modeling: Asymptotic limits and numerical methods
Giulia Bertaglia, Lorenzo Pareschi
In this paper, a multiscale constitutive framework for one-dimensional blood flow modeling is presented and discussed. By analyzing the asymptotic limits of the proposed model, it…