3 papers
cs.CE2021
Technical Report: Virtual X-ray imaging for higher-order finite element results
Maximilian Bittens
This work describes and demonstrates the operation of a virtual X-ray algorithm operating on finite-element post-processing results which allows for higher polynomial orders in geo…
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…