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math.NA2020★ 17 cited

General-purpose kernel regularization of boundary integral equations via density interpolation

Luiz M. Faria, Carlos Pérez-Arancibia, Marc Bonnet

This paper presents a general high-order kernel regularization technique applicable to all four integral operators of Calderón calculus associated with linear elliptic PDEs in two…

math.NA2020★ 13 cited

Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces

Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou +3

We consider a two-phase Darcy flow in a fractured and deformable porous medium for which the fractures are described as a network of planar surfaces leading to so-called hybrid-dim…

math.NA2020★ 2 cited

Diffusion-redistanciation schemes for 2D and 3D constrained Willmore flow: application to the equilibrium shapes of vesicles

Thibaut Metivet, Arnaud Sengers, Mourad Ismaïl +1

In this paper we present a novel algorithm for simulating geometrical flows, and in particular the Willmore flow, with conservation of volume and area. The idea is to adapt the cla…

math.NA2020★ 8 cited

An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics

Frédéric Marazzato, Alexandre Ern, Christian Mariotti +1

We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is base…

math.NA2020

GPU-accelerated discontinuous Galerkin methods on polytopic meshes

Zhaonan Dong, Emmanuil H. Georgoulis, Thomas Kappas

Discontinuous Galerkin (dG) methods on meshes consisting of polygonal/polyhedral (henceforth, collectively termed as \emph{polytopic}) elements have received considerable attention…

math.NA2020★ 15 cited

Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging

Felipe Galarce, Damiano Lombardi, Olga Mula

The present contribution deals with the estimation of haemodynamics Quantities of Interest by exploiting Ultrasound Doppler measurements. A fast method is proposed, based on the PB…