Radiation Transport using DGFEM
Lead Research Organisation:
University of Nottingham
Department Name: Sch of Mathematical Sciences
Abstract
The aim of this research project is to develop a discontinuous Galerkin finite element method (DGFEM) for safety-critical radiation transport application. In order to do this the following objectives will be pursued:
Formulate and validate the DGFEM for the radiation transport problem.
Efficiently implement DGFEM on a mesh formed of polytopic elements. These polytopic elements will allow for the precise representation of complicated features, typically present in medical images.
Develop a computable a posteriori error bounds for the DGFEM. Design and build an automatic hp-adaptive mesh refinement, locally adjusting the mesh resolution and/or the order of the local polynomial representation of the solution, algorithm.
Formulate and validate the DGFEM for the radiation transport problem.
Efficiently implement DGFEM on a mesh formed of polytopic elements. These polytopic elements will allow for the precise representation of complicated features, typically present in medical images.
Develop a computable a posteriori error bounds for the DGFEM. Design and build an automatic hp-adaptive mesh refinement, locally adjusting the mesh resolution and/or the order of the local polynomial representation of the solution, algorithm.
People |
ORCID iD |
| Matthew Hubbard (Primary Supervisor) | |
| Richard Widdowson (Student) |
Studentship Projects
| Project Reference | Relationship | Related To | Start | End | Student Name |
|---|---|---|---|---|---|
| EP/S515528/1 | 01/10/2018 | 30/09/2022 | |||
| 2100866 | Studentship | EP/S515528/1 | 01/10/2018 | 30/09/2022 | Richard Widdowson |