Zobrazeno 1 - 10
of 235
pro vyhledávání: '"Elia, Marta"'
Embedded Nonlocal Operator Regression (ENOR): Quantifying model error in learning nonlocal operators
Nonlocal, integral operators have become an efficient surrogate for bottom-up homogenization, due to their ability to represent long-range dependence and multiscale effects. However, the nonlocal homogenized model has unavoidable discrepancy from the
Externí odkaz:
http://arxiv.org/abs/2410.20331
Local-nonlocal coupling approaches combine the computational efficiency of local models and the accuracy of nonlocal models. However, the coupling process is challenging, requiring expertise to identify the interface between local and nonlocal region
Externí odkaz:
http://arxiv.org/abs/2404.15388
Autor:
Klar, Manuel, Capodaglio, Giacomo, D'Elia, Marta, Glusa, Christian, Gunzburger, Max, Vollmann, Christian
Nonlocal models allow for the description of phenomena which cannot be captured by classical partial differential equations. The availability of efficient solvers is one of the main concerns for the use of nonlocal models in real world engineering ap
Externí odkaz:
http://arxiv.org/abs/2306.00094
Autor:
Gladstone, Rini Jasmine, Rahmani, Helia, Suryakumar, Vishvas, Meidani, Hadi, D'Elia, Marta, Zareei, Ahmad
Physics-based deep learning frameworks have shown to be effective in accurately modeling the dynamics of complex physical systems with generalization capability across problem inputs. However, time-independent problems pose the challenge of requiring
Externí odkaz:
http://arxiv.org/abs/2303.15681
Molecular dynamics (MD) has served as a powerful tool for designing materials with reduced reliance on laboratory testing. However, the use of MD directly to treat the deformation and failure of materials at the mesoscale is still largely beyond reac
Externí odkaz:
http://arxiv.org/abs/2301.04540
We explore the approximation of feedback control of integro-differential equations containing a fractional Laplacian term. To obtain feedback control for the state variable of this nonlocal equation we use the Hamilton--Jacobi--Bellman equation. It i
Externí odkaz:
http://arxiv.org/abs/2210.09827
We consider the problem of modeling heterogeneous materials where micro-scale dynamics and interactions affect global behavior. In the presence of heterogeneities in material microstructure it is often impractical, if not impossible, to provide quant
Externí odkaz:
http://arxiv.org/abs/2211.01330
We explore the probabilistic partition of unity network (PPOU-Net) model in the context of high-dimensional regression problems and propose a general framework focusing on adaptive dimensionality reduction. With the proposed framework, the target fun
Externí odkaz:
http://arxiv.org/abs/2210.02694
The presence and evolution of defects that appear in the manufacturing process play a vital role in the failure mechanisms of engineering materials. In particular, the collective behavior of dislocation dynamics at the mesoscale leads to avalanche, s
Externí odkaz:
http://arxiv.org/abs/2205.05729