Outputs (3)

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.