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pro vyhledávání: '"A, Badía"'
In this manuscript we present the tensor-train reduced basis method, a novel projection-based reduced-order model for the efficient solution of parameterized partial differential equations. Despite their popularity and considerable computational adva
Externí odkaz:
http://arxiv.org/abs/2412.14460
Distributed medium access schemes have a key advantage in anomaly tracking applications, as individual sensors know their own observations and can exploit them to reduce their Age of Incorrect Information (AoII). However, the risk of collisions has s
Externí odkaz:
http://arxiv.org/abs/2412.07503
One of the strategies to detect the pose and shape of unknown objects is their geometric modeling, consisting on fitting known geometric entities. Classical geometric modeling fits simple shapes such as spheres or cylinders, but often those don't cov
Externí odkaz:
http://arxiv.org/abs/2412.04174
Age of Incorrect Information (AoII) is particularly relevant in systems where real time responses to anomalies are required, such as natural disaster alerts, cybersecurity warnings, or medical emergency notifications. Keeping system control with wron
Externí odkaz:
http://arxiv.org/abs/2411.08487
In this work, we develop a new compatible finite element formulation of the thermal shallow water equations that conserves energy and mathematical entropies given by buoyancy-related quadratic tracer variances. Our approach relies on restating the go
Externí odkaz:
http://arxiv.org/abs/2411.08064
We extend the finite element interpolated neural network (FEINN) framework from partial differential equations (PDEs) with weak solutions in $H^1$ to PDEs with weak solutions in $H(\textbf{curl})$ or $H(\textbf{div})$. To this end, we consider interp
Externí odkaz:
http://arxiv.org/abs/2411.04591
Autor:
Martorell, Pere A., Badia, Santiago
Approximating partial differential equations for extensive industrial and scientific applications requires leveraging the power of modern high-performance computing. In large-scale parallel computations, the geometrical discretisation rapidly becomes
Externí odkaz:
http://arxiv.org/abs/2410.13023
In this work we develop a discrete trace theory that spans non-conforming hybrid discretization methods and holds on polytopal meshes. A notion of a discrete trace seminorm is defined, and trace and lifting results with respect to a discrete $H^1$-se
Externí odkaz:
http://arxiv.org/abs/2409.15863
Autor:
de Parga, S. Ares, Bravo, J. R., Sibuet, N., Hernandez, J. A., Rossi, R., Boschert, Stefan, Quintana-Ortí, Enrique S., Tomás, Andrés E., Tatu, Cristian Cătălin, Vázquez-Novoa, Fernando, Ejarque, Jorge, Badia, Rosa M.
The integration of Reduced Order Models (ROMs) with High-Performance Computing (HPC) is critical for developing digital twins, particularly for real-time monitoring and predictive maintenance of industrial systems. This paper describes a comprehensiv
Externí odkaz:
http://arxiv.org/abs/2409.09080
Autor:
Smith, Brittany N., Albarghouthi, Faris M., Doherty, James L., Pei, Xuancheng, Macfarlane, Quentin, Salfity, Matthew, Badia, Daniel, Pascual, Marc, Boncenne, Pascal, Bigan, Nathan, M'Barki, Amin, Franklin, Aaron D.
Although printed transistors have a wide range of applications, the limited resolution of printing techniques (10-30 um) has been a barrier to advancement and scaling, particularly down to submicron dimensions. While previous works have shown creativ
Externí odkaz:
http://arxiv.org/abs/2406.03602