133 citations · 1.1k across the 49 of their papers we have counts for
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Efficient iterative arbitrary high order methods: an adaptive bridge between low and high order
Lorenzo Micalizzi, Davide Torlo, Walter Boscheri
We propose a new paradigm for designing efficient p-adaptive arbitrary high order methods. We consider arbitrary high order iterative schemes that gain one order of accuracy at eac…
An all Froude high order IMEX scheme for the shallow water equations on unstructured Voronoi meshes
Walter Boscheri, Maurizio Tavelli, Cristóbal E. Castro
We propose a novel numerical method for the solution of the shallow water equations in different regimes of the Froude number making use of general polygonal meshes. The fluxes of…
Locally Structure-Preserving div-curl operators for high order Discontinuous Galerkin schemes
Walter Boscheri, Giacomo Dimarco, Lorenzo Pareschi
We propose a novel Structure-Preserving Discontinuous Galerkin (SPDG) operator that recovers at the discrete level the algebraic property related to the divergence of the curl of a…
Continuous finite element subgrid basis functions for Discontinuous Galerkin schemes on unstructured polygonal Voronoi meshes
Walter Boscheri, Michael Dumbser, Elena Gaburro
We propose a new high order accurate nodal discontinuous Galerkin (DG) method for the solution of nonlinear hyperbolic systems of partial differential equations (PDE) on unstructur…