Showing 2017 · math.NAShow all

13 papers · 2 filters

math.NA2017★ 20 cited

Topology optimization of multiple anisotropic materials, with application to self-assembling diblock copolymers

Francesco Regazzoni, Nicola Parolini, Marco Verani

We propose a solution strategy for a multimaterial minimum compliance topology optimization problem, which consists in finding the optimal allocation of a finite number of candidat…

math.NA2017★ 23 cited

The LifeV library: engineering mathematics beyond the proof of concept

Luca Bertagna, Simone Deparis, Luca Formaggia +2

LifeV is a library for the finite element (FE) solution of partial differential equations in one, two, and three dimensions. It is written in C++ and designed to run on diverse par…

math.NA2017★ 3 cited

A POD-selective inverse distance weighting method for fast parametrized shape morphing

Francesco Ballarin, Alessandro D'Amario, Simona Perotto +1

Efficient shape morphing techniques play a crucial role in the approximation of partial differential equations defined in parametrized domains, such as for fluid-structure interact…

math.NA2017★ 3 cited

V-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes

P. F. Antonietti, G. Pennesi

In this paper we analyse the convergence properties of V-cycle multigrid algorithms for the numerical solution of the linear system of equations arising from discontinuous Galerkin…

math.NA2017★ 46 cited

Multilayer shallow water models with locally variable number of layers and semi-implicit time discretization

Luca Bonaventura, Enrique D. Fernández-Nieto, José Garres-Díaz +1

We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal…

math.NA2017

A free-boundary problem with moving contact points

Ivan Fumagalli

This paper concerns the theoretical and numerical analysis of a free boundary problem for the Laplace equation, with a curvature condition on the free boundary. This boundary is de…

math.NA2017★ 24 cited

A fully semi-Lagrangian discretization for the 2D Navier--Stokes equations in the vorticity--streamfunction formulation

Luca Bonaventura, Roberto Ferretti, Lorenzo Rocchi

A numerical method for the two-dimensional, incompressible Navier--Stokes equations in vorticity--streamfunction form is proposed, which employs semi-Lagrangian discretizations for…

math.NA2017★ 27 cited

A Hybrid High-Order method for Kirchhoff-Love plate bending problems

Francesco Bonaldi, Daniele A. Di Pietro, Giuseppe Geymonat +1

We present a novel Hybrid High-Order (HHO) discretization of fourth-order elliptic problems arising from the mechanical modeling of the bending behavior of Kirchhoff-Love plates, i…

math.NA2017

Geometrically-exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods

Livio Fedeli, Anna Pandolfi, Michael Ortiz

We develop an Optimal Transportation Meshfree (OTM) particle method for advection-diffusion in which the concentration or density of the diffusive species is approximated by Dirac…

math.NA2017★ 24 cited

Uncertainty Quantification of geochemical and mechanical compaction in layered sedimentary basins

Ivo Colombo, Fabio Nobile, Giovanni Porta +2

In this work we propose an Uncertainty Quantification methodology for sedimentary basins evolution under mechanical and geochemical compaction processes, which we model as a couple…

math.NA2017★ 5 cited

A multigrid algorithm for the -version of the Virtual Element Method

P. F. Antonietti, L. Mascotto, M. Verani

We present a multigrid algorithm for the solution of the linear systems of equations stemming from the version of the Virtual Element discretization of a two-dimensional Poisso…

math.NA2017★ 293 cited

Benchmarks for single-phase flow in fractured porous media

Bernd Flemisch, Inga Berre, Wietse Boon +5

This paper presents several test cases intended to be benchmarks for numerical schemes for single-phase fluid flow in fractured porous media. A number of solution strategies are co…

math.NA2017★ 138 cited

Pod-Galerkin Reduced Order Methods for CFD Using Finite Volume Discretisation: Vortex Shedding Around a Circular Cylinder

Giovanni Stabile, Saddam Hijazi, Andrea Mola +2

Vortex shedding around circular cylinders is a well known and studied phenomenon that appears in many engineering fields. A Reduced Order Model (ROM) of the incompressible flow aro…