Discrete functional analysis: bridging pure and numerical mathematics

  • Droniou, Jerome (Primary Chief Investigator (PCI))
  • Eymard, Robert (Partner Investigator (PI))
  • Manzini, Gianmarco (Partner Investigator (PI))

Project: Research

Project Description

The project aims to develop new techniques for the numerical analysis of partial differential equations in real-world situations. These equations are essential to model and understand phenomena such as oil extraction, carbon sequestration, and groundwater contamination. Due to their complexity, such phenomena can be predicted only by numerical schemes. Confidence in the outcomes of these schemes critically depends on mathematicians to rigorously establish their accuracy. By moving beyond the analysis of numerical schemes in idealised situations, and by drawing on pure mathematics tools, the project's new techniques aim to significantly improve the reliability of the predictions under assumptions that are compatible with field applications.
StatusActive
Effective start/end date1/01/1731/12/19

Funding

  • Australian Research Council (ARC): AUD337,876.00
  • Australian Research Council (ARC): AUD21,624.00
  • Monash University: AUD203,252.00
  • Universite Paris-Est (UPE) (Paris XII University): AUD83,632.00
  • University of California : AUD99,387.00