A major bottleneck in current scientific computing practice is the difficulty of resolving small scale structures without excessive computational cost. Adaptive mesh methods afford the possibility of achieving much better resolution, and thus of providing much more accurate predictions, in an efficient manner. Adaptive mesh movement and anisotropic mesh adaptation have emerged as areas of intense research in mesh adaptation in the last decade.

The aim of this workshop was to bring together scientists from the fields of mathematics, scientific computing, physics, engineering, and meteorology to discuss the latest advances in adaptive moving and anisotropic meshes and their applications to real-life problems. Participants included both senior and young researchers to allow vigorous discussion and collaboration that will advance the state-of-the-art in these challenging and emerging areas.

The organisers intended for this workshop to bring a better theoretical understanding of the convergence and stability of moving mesh and anisotropic mesh adaptation methods, which will aid future work in their design. In addition there will be a clearer understanding of their computational complexity and effectiveness when solving very large problems (for example three dimensional problems in gas or fluid dynamics), particularly when using parallel methods. This will allow a better implementation of these methods for challenging practical problems and in new application areas.