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math.NA2019★ 13 cited

IsoGeometric Approximations for Electromagnetic Problems in Axisymmetric Domains

Abele Simona, Luca Bonaventura, Carlo de Falco +1

We propose a numerical method for the solution of electromagnetic problems on axisymmetric domains, based on a combination of a spectral Fourier approximation in the azimuthal dire…

math.NA2019★ 1 cited

Learning patient-specific parameters for a diffuse interface glioblastoma model from neuroimaging data

Abramo Agosti, Pasquale Ciarletta, Harald Garcke +1

Parameters in mathematical models for glioblastoma multiforme (GBM) tumour growth are highly patient specific. Here we aim to estimate parameters in a Cahn-Hilliard type diffuse in…

math.NA2019★ 31 cited

A high-order discontinuous Galerkin method for nonlinear sound waves

Paola. F. Antonietti, Ilario Mazzieri, Markus Muhr +2

We propose a high-order discontinuous Galerkin scheme for nonlinear acoustic waves on polytopic meshes. To model sound propagation with and without losses, we use Westervelt's nonl…

math.NA2019★ 1 cited

The virtual element method for linear elastodynamics models. Convergence, stability and dissipation-dispersion analysis

P. F. Antonietti, G. Manzini, I. Mazzieri +2

We design the conforming virtual element method for the numerical approximation of the two dimensional elastodynamics problem. We prove stability and convergence of the semi-discre…

math.NA2019★ 33 cited

On the choice of initial guesses for the Newton-Raphson algorithm

Francesco Casella, Bernhard Bachmann

The initialization of equation-based differential-algebraic system models, and more in general the solution of many engineering and scientific problems, require the solution of sys…

math.NA2019★ 7 cited

Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting

Matteo Zancanaro, Francesco Ballarin, Simona Perotto +1

In this work we focus on two different methods to deal with parametrized partial differential equations in an efficient and accurate way. Starting from high fidelity approximations…

math.NA2019

Simulation of 3D elasto-acoustic wave propagation based on a Discontinuous Galerkin Spectral Element method

Paola F. Antonietti, Francesco Bonaldi, Ilario Mazzieri

In this paper we present a numerical discretization of the coupled elasto-acoustic wave propagation problem based on a Discontinuous Galerkin Spectral Element (DGSE) approach in a…

math.NA2019★ 2 cited

Numerical Methods for a System of Coupled Cahn-Hilliard Equations

Mattia Martini, Giacomo Enrico Sodini

In this work, we study a system of coupled Cahn-Hilliard equations describing the phase separation of a copolymer and a homopolymer blend. The numerical methods we propose are base…

math.NA2019★ 2 cited

An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids

P. F. Antonietti, P. Houston, G. Pennesi +1

In this article we design and analyze a class of two-level non-overlapping additive Schwarz preconditioners for the solution of the linear system of equations stemming from discont…

math.NA2019★ 20 cited

A semi-implicit compressible model for atmospheric flows with seamless access to soundproof and hydrostatic dynamics

Tommaso Benacchio, Rupert Klein

We introduce a second-order numerical scheme for compressible atmospheric motions at small to planetary scales. The collocated finite volume method treats the advection of mass, mo…

math.NA2019★ 16 cited

Numerical approximation of poroelasticity with random coefficients using Polynomial Chaos and Hybrid High-Order methods

Michele Botti, Daniele A. Di Pietro, Olivier Le Maître +1

In this work, we consider the Biot problem with uncertain poroelastic coefficients. The uncertainty is modelled using a finite set of parameters with prescribed probability distrib…

math.NA2019★ 25 cited

A low-order nonconforming method for linear elasticity on general meshes

Michele Botti, Daniele A. Di Pietro, Alessandra Guglielmana

In this work we construct a low-order nonconforming approximation method for linear elasticity problems supporting general meshes and valid in two and three space dimensions. The m…

math.NA2019★ 4 cited

"A Posteriori" Limited High Order and Robust Residual Distribution Schemes for Transient Simulations of Fluid Flows in Gas Dynamics

Paola Bacigaluppi, Rémi Abgrall, Svetlana Tokareva

In this paper, we propose a novel approximation strategy for time-dependent hyperbolic systems of conservation laws for the Euler system of gas dynamics that aims to represent the…