[HTML][HTML] An adaptive data-driven algorithm with machine learning for modeling high-order nonlinear beam-column finite elements

EDM Martinez, N Khaji - Journal of Building Engineering, 2024 - Elsevier
Structural analyses of buildings using beam-column finite elements are typically performed
using procedures based on rotation polynomials truncated to the second order. This …

Numerical solutions to linear differential equations on unbounded domain based on ECNN

H Sun, Y Lu - Chaos, Solitons & Fractals, 2025 - Elsevier
In this paper, we propose a novel single-layer Exponential Chebyshev Neural Network
(ECNN) designed to solve ordinary differential equations (ODEs) or systems of ODEs, as …

Efficient spectral element method for the Euler equations on unbounded domains

Y Tissaoui, JF Kelly, S Marras - Applied Mathematics and Computation, 2025 - Elsevier
Mitigating the impact of waves leaving a numerical domain has been a persistent challenge
in numerical modeling. Reducing wave reflection at the domain boundary is crucial for …

Efficient hyperbolic–parabolic models on multi‐dimensional unbounded domains using an extended DG approach

F Vismara, T Benacchio - International Journal for Numerical …, 2024 - Wiley Online Library
We introduce an extended discontinuous Galerkin discretization of hyperbolic–parabolic
problems on multidimensional semi‐infinite domains. Building on previous work on the one …