An FEM-MLMC Algorithm for a Moving Shutter Diffraction in Time Stochastic Model

Mahadevan Ganesh, Brandon C. Reyes, Avi Purkayastha

Research output: Contribution to journalArticlepeer-review

2 Scopus Citations

Abstract

We consider a moving shutter and non-deterministic generalization of the difiraction in time model introduced by Moshinsky several decades ago to study a class of quantum transients. We first develop a moving-mesh finite element method (FEM) to simulate the determisitic version of the model. We then apply the FEM and multilevel Monte Carlo (MLMC) algorithm to the stochastic moving-domain model for simulation of approximate statistical moments of the density profile of the stochastic transients.

Original languageAmerican English
Pages (from-to)257-272
Number of pages16
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume24
Issue number1
DOIs
StatePublished - Jan 2019

Bibliographical note

Publisher Copyright:
© 2018 American Institute of Mathematical Sciences.

NREL Publication Number

  • NREL/JA-2C00-72812

Keywords

  • Difiraction In Time
  • Finite Element Method
  • Monte Carlo
  • Moving-Mesh
  • Multilevel Monte Carlo

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