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07/20/2023
Model order reduction with novel discrete empirical interpolation methods in space-time
This work proposes novel techniques for the efficient numerical simulati...
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06/09/2023
Finite element interpolated neural networks for solving forward and inverse problems
We propose a general framework for solving forward and inverse problems ...
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03/23/2023
Neural Level Set Topology Optimization Using Unfitted Finite Elements
To facilitate widespread adoption of automated engineering design techni...
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03/21/2023
Adaptive quadratures for nonlinear approximation of low-dimensional PDEs using smooth neural networks
Physics-informed neural networks (PINNs) and their variants have recentl...
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08/17/2022
Stability and conditioning of immersed finite element methods: analysis and remedies
This review paper discusses the developments in immersed or unfitted fin...
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07/22/2022
Bound-preserving finite element approximations of the Keller-Segel equations
This paper aims to develop numerical approximations of the Keller–Segel ...
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06/08/2022
Space-time aggregated finite element methods for time-dependent problems on moving domains
We propose a space-time scheme that combines an unfitted finite element ...
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03/09/2022
A comparison of variational upwinding schemes for geophysical fluids, and their application to potential enstrophy conserving discretisations in space and time
Methods for upwinding the potential vorticity in a finite element discre...
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01/17/2022
Robust high-order unfitted finite elements by interpolation-based discrete extension
In this work, we propose a novel formulation for the solution of partial...
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11/23/2021
A Massively Parallel Implementation of Multilevel Monte Carlo for Finite Element Models
The Multilevel Monte Carlo (MLMC) method has proven to be an effective v...
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09/27/2021
The software design of Gridap: a Finite Element package based on the Julia JIT compiler
We present the software design of Gridap, a novel finite element library...
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09/21/2021
Conditioning of a Hybrid High-Order scheme on meshes with small faces
We conduct a condition number analysis of a Hybrid High-Order (HHO) sche...
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09/09/2021
Geometrical discretisations for unfitted finite elements on explicit boundary representations
Unfitted (also known as embedded or immersed) finite element approximati...
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06/19/2021
Linking ghost penalty and aggregated unfitted methods
In this work, we analyse the links between ghost penalty stabilisation a...
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12/01/2020
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics
In this work, we bridge standard adaptive mesh refinement and coarsening...
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06/19/2020
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems
This work introduces a novel, fully robust and highly-scalable, h-adapti...
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06/09/2020
The aggregated unfitted finite element method on parallel tree-based adaptive meshes
In this work, we present an adaptive unfitted finite element scheme that...
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01/21/2020
Balancing domain decomposition by constraints associated with subobjects
A simple variant of the BDDC preconditioner in which constraints are imp...
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12/24/2019
Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems
This work is focused on the extension and assessment of the monotonicity...
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11/27/2019
Embedded multilevel Monte Carlo for uncertainty quantification in random domains
The multilevel Monte Carlo (MLMC) method has proven to be an effective v...
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11/15/2019
On differentiable local bounds preserving stabilization for Euler equations
This work is focused on the design of nonlinear stabilization techniques...
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10/03/2019
A user-guide to Gridap – grid-based approximation of partial differential equations in Julia
We present Gridap, a new scientific software library for the numerical a...
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08/02/2019
A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0
This work is a user guide to the FEMPAR scientific software library. FEM...
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07/08/2019
A generic finite element framework on parallel tree-based adaptive meshes
In this work we formally derive and prove the correctness of the algorit...
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02/04/2019
Distributed-memory parallelization of the aggregated unfitted finite element method
The aggregated unfitted finite element method (AgFEM) is a methodology r...
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01/25/2019
Scalable solvers for complex electromagnetics problems
In this work, we present scalable balancing domain decomposition by cons...
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12/13/2018
Maximum-principle preserving space-time isogeometric analysis
In this work we propose a nonlinear stabilization technique for convecti...
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11/29/2018
Numerical modelling of heat transfer and experimental validation in Powder-Bed Fusion with the Virtual Domain Approximation
In contrast with other metal additive manufacturing technologies, powder...
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10/08/2018
A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing
This work introduces an innovative parallel, fully-distributed finite el...
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09/26/2017
The aggregated unfitted finite element method for elliptic problems
Unfitted finite element techniques are valuable tools in different appli...
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08/05/2017
FEMPAR: An object-oriented parallel finite element framework
FEMPAR is an open source object oriented Fortran200X scientific software...
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07/31/2017