31 citations · 64 across the 8 of their papers we have counts for
10 papers
Copresheaf Topological Neural Networks: A Generalized Deep Learning Framework
Mustafa Hajij, Lennart Bastian, Sarah Osentoski +9
We introduce copresheaf topological neural networks (CTNNs), a powerful unifying framework that encapsulates a wide spectrum of deep learning architectures, designed to operate on…
Physics-Based Nozzle Design Rules for High-Frequency Liquid Metal Jetting
Jongmin Seo, Christoforos Somarakis, Svyatoslav Korneev +2
We present physics-based nozzle design rules to achieve high-throughput and stable jetting in drop-on-demand liquid metal 3D printing. The design rules are based on scaling laws th…
Spring-Slider and Finite Element Modeling of Microseismic Events and Fault Slip during Hydraulic Fracturing
Ali Kashefi, Eric M. Dunham, Benjamin Grossman-Ponemon +1
Hydraulic fracturing increases reservoir permeability by opening fractures and triggering slip on natural fractures and faults. While seismic slip of small faults or fault patches…
Universal Meshes for the Simulation of Brittle Fracture and Moving Boundary Problems
Maurizio M. Chiaramonte, Evan S. Gawlik, Hardik Kabaria +1
Universal meshes have recently appeared in the literature as a compu- tationally efficient and robust paradigm for the generation of conforming simpli- cial meshes for domains with…
Computing stress intensity factors for curvilinear cracks
Maurizio M. Chiaramonte, Yongxing Shen, Leon M. Keer +1
The use of the interaction integral to compute stress intensity factors around a crack tip requires selecting an auxiliary field and a material variation field. We formulate a fami…
High-Order Finite Element Methods for Moving Boundary Problems with Prescribed Boundary Evolution
Evan S. Gawlik, Adrian J. Lew
We introduce a framework for the design of finite element methods for two-dimensional moving boundary problems with prescribed boundary evolution that have arbitrarily high order o…