All Outputs (6)

Diagnostic tool and online resource providing mathematics support for non-specialists (2019)
Presentation / Conference Contribution

We report on the development of a diagnostic tool to provide support for non-mathematics students. This tool has been designed to aid the transition onto university courses where mathematics is required during the course, but is not a pre-requisite.... Read More about Diagnostic tool and online resource providing mathematics support for non-specialists.

Stochastic domain decomposition for time dependent adaptive mesh generation (2015)
Journal Article

The efficient generation of meshes is an important component in the numerical solution of problems in physics and engineering. Of interest are situations where global mesh quality and a tight coupling to the solution of the physical partial different... Read More about Stochastic domain decomposition for time dependent adaptive mesh generation.

The geometry of r-adaptive meshes generated using optimal transport methods (2014)
Journal Article

© 2014 Elsevier Inc. The principles of mesh equidistribution and alignment play a fundamental role in the design of adaptive methods, and a metric tensor and mesh metric are useful theoretical tools for understanding a method's level of mesh alignmen... Read More about The geometry of r-adaptive meshes generated using optimal transport methods.

The geometry of r-adaptive meshes generated using optimal transport methods (2014)
Journal Article

The principles of mesh equidistribution and alignment play a fundamental role in the design of adaptive methods, and a metric tensor M and mesh metric are useful theoretical tools for understanding a methods level of mesh alignment, or anisotropy. We... Read More about The geometry of r-adaptive meshes generated using optimal transport methods.

Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem (2013)
Journal Article

We derive a moving mesh method based upon ideas from optimal transport theory which is suited to solving PDE problems in meteorology. In particular we show how the Parabolic Monge-Ampére method for constructing a moving mesh in two-dimensions can be... Read More about Monge-Ampére based moving mesh methods for numerical weather prediction, with applications to the Eady problem.

Moving mesh methods for problems in meteorology (2010)
Thesis