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06/22/2022
A monolithic Finite Element formulation for the hydroelastic analysis of Very Large Floating Structures
In this work we present a novel monolithic Finite Element Method (FEM) f...
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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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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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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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09/09/2021
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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02/09/2021
Physics-informed neural networks with hard constraints for inverse design
Inverse design arises in a variety of areas in engineering such as acous...
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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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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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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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09/26/2017