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Deep learning driven self-adaptive hp finite element method 

Paszyński, M.; Grzeszczuk, R.; Pardo, D.Autoridad BCAM; Demkowicz, L. (2021-06)
The fi nite element method (FEM) is a popular tool for solving engineering problems governed by Partial Di fferential Equations (PDEs). The accuracy of the numerical solution depends on the quality of the computational ...
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A Finite Element based Deep Learning solver for parametric PDEs 

Uriarte, C.Autoridad BCAM; Pardo, D.Autoridad BCAM; Omella, A. J. (2021)
We introduce a dynamic Deep Learning (DL) architecture based on the Finite Element Method (FEM) to solve linear parametric Partial Differential Equations(PDEs). The connections between neurons in the architecture mimic the ...
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Sensitivity and Uncertainty Analysis by Discontinuous Galerkin of Lock-in Thermography for Crack Characterization 

Omella, A. J.; Celorrio, R.; Pardo, D.Autoridad BCAM (2020-09)
This work focuses on the characterization of narrow vertical cracks of nite size using optically excited lock-in thermography (OLT). To characterize these cracks, we need to solve an ill-posed inverse problem. As a previous ...
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Forward-in-Time Goal-Oriented Adaptivity 

Muñoz-Matute, J.Autoridad BCAM; Pardo, D.Autoridad BCAM; Calo, V.M.; Alberdi, E. (2019-03)
In goal-oriented adaptive algorithms for partial differential equations, we adapt the finite element mesh in order to reduce the error of the solution in some quantity of interest. In time-dependent problems, this adaptive ...
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Time-Domain Goal-Oriented Adaptivity Using Pseudo-Dual Error Representations 

Muñoz-Matute, J.Autoridad BCAM; Alberdi, E.; Pardo, D.Autoridad BCAM; Calo, V.M. (2017-12)
Goal-oriented adaptive algorithms produce optimal grids to solve challenging engineering problems. Recently, a novel error representation using (unconventional) pseudo-dual problems for goal-oriented adaptivity in the ...
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Goal-Oriented p-Adaptivity using Unconventional Error Representations for a 1D Steady State Convection-Diffusion Problem 

Pardo, D.Autoridad BCAM; Darrigrand, V.; Rodríguez-Rozas, A.; Muga, I. (2017)
This work proposes the use of an alternative error representation for Goal-Oriented Adaptivity (GOA) in context of steady state convection dominated diffusion problems. It introduces an arbitrary operator for the computation ...

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AuthorPardo, D. (6)Alberdi, E. (2)Calo, V.M. (2)Muñoz-Matute, J. (2)Omella, A. J. (2)Celorrio, R. (1)Darrigrand, V. (1)Demkowicz, L. (1)Grzeszczuk, R. (1)Muga, I. (1)... másSubject
Finite Element Method (6)
error representation (2)goal-oriented adaptivity (2)Partial Differential Equations (2)Adaptive algorithms (1)Convection-Diffusion Equation (1)Crack characterization (1)Deep Learning (1)Discontinuous Galerkin Method (1)Error Representation (1)... másFecha2021 (2)2020 (1)2019 (1)2017 (2)

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