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20102026
most citedThe aggregated unfitted finite element method for elliptic problems

152 citations

Showing 2020Show all

16 papers · 1 filter

math.NA2020★ 16 cited

A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics

Santiago Badia, Manuel Caicedo, Alberto F. Martín +1

In this work, we bridge standard adaptive mesh refinement and coarsening on scalable octree background meshes and robust unfitted finite element formulations for the automatic and…

physics.flu-dyn2020★ 9 cited

A non-oscillatory face-centred finite volume method for compressible flows

Jordi Vila-Pérez, Matteo Giacomini, Ruben Sevilla +1

This work presents the face-centred finite volume (FCFV) paradigm for the simulation of compressible flows. The FCFV method defines the unknowns at the face barycentre and uses a h…

cond-mat.mtrl-sci2020★ 36 cited

Transversal flexoelectric coefficient for nanostructures at finite deformations from first principles

David Codony, Irene Arias, Phanish Suryanarayana

We present a novel formulation for calculating the transversal flexoelectric coefficient of nanostructures at finite deformations from first principles. Specifically, we introduce…

math.NA2020★ 4 cited

Database Generation for Deep Learning Inversion of 2.5D Borehole Electromagnetic Measurements using Refined Isogeometric Analysis

Ali Hashemian, Daniel Garcia, Jon Ander Rivera +1

Borehole resistivity measurements are routinely inverted in real-time during geosteering operations. The inversion process can be efficiently performed with the help of advanced ar…

cs.MS2020★ 23 cited

HDGlab: An open-source implementation of the hybridisable discontinuous Galerkin method in MATLAB

Matteo Giacomini, Ruben Sevilla, Antonio Huerta

This paper presents HDGlab, an open source MATLAB implementation of the hybridisable discontinuous Galerkin (HDG) method. The main goal is to provide a detailed description of both…

math.NA2020★ 38 cited

Hybridisable discontinuous Galerkin formulation of compressible flows

Jordi Vila-Pérez, Matteo Giacomini, Ruben Sevilla +1

This work presents a review of high-order hybridisable discontinuous Galerkin (HDG) methods in the context of compressible flows. Moreover, an original unified framework for the de…