23 citations · 39 across the 2 of their papers we have counts for
10 papers · 1 filter
Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
Ruben Sevilla, Luca Borchini, Matteo Giacomini +1
This paper proposes a novel computational framework for the solution of geometrically parametrised flow problems governed by the Stokes equation. The proposed method uses a high-or…
A kernel Principal Component Analysis (kPCA) digest with a new backward mapping (pre-image reconstruction) strategy
Alberto García-González, Antonio Huerta, Sergio Zlotnik +1
Methodologies for multidimensionality reduction aim at discovering low-dimensional manifolds where data ranges. Principal Component Analysis (PCA) is very effective if data have li…
An HLL Riemann solver for the hybridised discontinuous Galerkin formulation of compressible flows
Jordi Vila-Pérez, Matteo Giacomini, Ruben Sevilla +1
This work proposes a high-order hybridised discontinuous Galerkin (HDG) formulation of the Harten-Lax-Van Leer (HLL) Riemann solver for compressible flows. A unified framework is i…
Tutorial on Hybridizable Discontinuous Galerkin (HDG) Formulation for Incompressible Flow Problems
Matteo Giacomini, Ruben Sevilla, Antonio Huerta
A hybridizable discontinuous Galerkin (HDG) formulation of the linearized incompressible Navier-Stokes equations, known as Oseen equations, is presented. The Cauchy stress formulat…
A second-order face-centred finite volume method for elliptic problems
Luan M Vieira, Matteo Giacomini, Ruben Sevilla +1
A second-order face-centred finite volume method (FCFV) is proposed. Contrary to the more popular cell-centred and vertex-centred finite volume (FV) techniques, the proposed method…
Hybrid coupling of CG and HDG discretizations based on Nitsche's method
Andrea La Spina, Matteo Giacomini, Antonio Huerta
A strategy to couple continuous Galerkin (CG) and hybridizable discontinuous Galerkin (HDG) discretizations based only on the HDG hybrid variable is presented for linear thermal an…