3 papers
math.NA2024
PACMANN: Point Adaptive Collocation Method for Artificial Neural Networks
Coen Visser, Alexander Heinlein, Bianca Giovanardi
Physics-Informed Neural Networks (PINNs) have emerged as a tool for approximating the solution of Partial Differential Equations (PDEs) in both forward and inverse problems. PINNs…
cs.CE2023
A discontinuous Galerkin / cohesive zone model approach for the computational modeling of fracture in geometrically exact slender beams
Sai Kubair Kota, Siddhant Kumar, Bianca Giovanardi
Slender beams are often employed as constituents in engineering materials and structures. Prior experiments on lattices of slender beams have highlighted their complex failure resp…
cond-mat.soft2020
Morphogenesis and proportionate growth: A finite element investigation of surface growth with coupled diffusion
Virginia von Streng, Rami Abi-Akl, Bianca Giovanardi +1
Modeling the spontaneous evolution of morphology in natural systems and its preservation by proportionate growth remains a major scientific challenge. Yet, it is conceivable that i…