73 citations · 330 across the 23 of their papers we have counts for
24 papers
A Stable Mimetic Finite-Difference Method for Convection-Dominated Diffusion Equations
James H. Adler, Casey Cavanaugh, Xiaozhe Hu +2
Convection-diffusion equations arise in a variety of applications such as particle transport, electromagnetics, and magnetohydrodynamics. Simulation of the convection-dominated reg…
Efficient optimization-based quadrature for variational discretization of nonlocal problems
Marco Pasetto, Zhaoxiang Shen, Marta D'Elia +3
Casting nonlocal problems in variational form and discretizing them with the finite element (FE) method facilitates the use of nonlocal vector calculus to prove well-posedeness, co…
Entropy stable discontinuous Galerkin methods for the shallow water equations with subcell positivity preservation
Xinhui Wu, Nathaniel Trask, Jesse Chan
High order schemes are known to be unstable in the presence of shock discontinuities or under-resolved solution features, and have traditionally required additional filtering, limi…
Structure-preserving Sparse Identification of Nonlinear Dynamics for Data-driven Modeling
Kookjin Lee, Nathaniel Trask, Panos Stinis
Discovery of dynamical systems from data forms the foundation for data-driven modeling and recently, structure-preserving geometric perspectives have been shown to provide improved…
Coupling of IGA and Peridynamics for Air-Blast Fluid-Structure Interaction Using an Immersed Approach
Masoud Behzadinasab, Georgios Moutsanidis, Nathaniel Trask +2
We present a novel formulation based on an immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) phenomena…
A General-Purpose, Inelastic, Rotation-Free Kirchhoff-Love Shell Formulation for Peridynamics
Masoud Behzadinasab, Mert Alaydin, Nathaniel Trask +1
We present a comprehensive rotation-free Kirchhoff-Love (KL) shell formulation for peridynamics (PD) that is capable of modeling large elasto-plastic deformations and fracture in t…