Stochastic domain decomposition for time dependent adaptive mesh generation (2015)
Journal Article
Bihlo, A., Haynes, R. D., & Walsh, E. (2015). Stochastic domain decomposition for time dependent adaptive mesh generation. https://doi.org/10.4208/jms.v48n2.15.02

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
Walsh, E., Budd, C. J., Russell, R. D., & Walsh, E. (2015). The geometry of r-adaptive meshes generated using optimal transport methods. Journal of Computational Physics, 282, 113-137. https://doi.org/10.1016/j.jcp.2014.11.007

© 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.