3 papers
math.NA2021
An hp-hierarchical framework for the finite element exterior calculus
Robert L. Gates, Maximilian Bittens
The problem of solving partial differential equations (PDEs) on manifolds can be considered to be one of the most general problem formulations encountered in computational multi-ph…
physics.comp-ph2015
A multilevel adaptive sparse grid stochastic collocation approach to the non-smooth forward propagation of uncertainty in discretized problems
Robert L. Gates, Maximilian R. Bittens
This work proposes a scheme for significantly reducing the computational complexity of discretized problems involving the non-smooth forward propagation of uncertainty by combining…
physics.comp-ph2013
A Finite Element Implementation of a Ductile Damage Model for Small Strains
Robert Lee Gates
Lemaitre's ductile damage model and a simplified variant excluding kinematic hardening were studied and implemented into computer code. For purposes of verifying the model, results…