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.

Publications

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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