Picture of athlete cycling

Open Access research with a real impact on health...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by Strathclyde researchers, including by researchers from the Physical Activity for Health Group based within the School of Psychological Sciences & Health. Research here seeks to better understand how and why physical activity improves health, gain a better understanding of the amount, intensity, and type of physical activity needed for health benefits, and evaluate the effect of interventions to promote physical activity.

Explore open research content by Physical Activity for Health...

A review of moving mesh methods for the numerical solution of PDEs

Sloan, D.M. (2002) A review of moving mesh methods for the numerical solution of PDEs. In: Applied Mathematics Seminar, 2003-06-13.

Full text not available in this repository. Request a copy from the Strathclyde author

Abstract

Accurate modelling of scientific problems that are governed by partial differential equations (PDEs) with steep solution regions often involves high computational cost if a uniform mesh is used. In recent years a family of methods---moving mesh methods---has been developed that adapts the mesh to features of the computed solution. The nodal density is high in regions of high solution variation and low in regions where the solution variation is small. The talk describes moving mesh methods that are based on the idea of equidistribution (see, for example, W Huang and R D Russell, SIAM J Sci Comput 20 (1999) 998-1015). These methods utilise a PDE to evolve the mesh in a manner that accurately captures sharp fronts with a relatively small number of mesh points. The complete solution process involves the combined numerical solution of a moving mesh PDE and the governing system of physical PDEs. Numerical results are referenced to demonstrate the effectiveness of the methods.