Details of Grant 

EPSRC Reference:	GR/T06377/01
Title:	Moving mesh methods for partial differential equations
Principal Investigator:	Budd, Professor C
Other Investigators:	Galaktionov, Professor VA
Researcher Co-Investigators:
Project Partners:
Department:	Mathematical Sciences
Organisation:	University of Bath
Scheme:	Standard Research (Pre-FEC)
Starts:	02 April 2004	Ends:	01 December 2004	Value (£):	3,859
EPSRC Research Topic Classifications:	Numerical Analysis
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
The research grant will fund Professor Russell, an expert in moving mesh methods, to visit Bath (with a short visit to Reading). There will be studies of three problems. Firstly we will construct two dimensional moving mesh methods based on scaling laws and will apply these to a series of PDE problems which exhibit finite blow-up. Secondly we will make a careful comparison of the variational (GCL) methods constructed by Russell with the parabolic Monge-Ampere methods of Budd in order to establish which is better (for a range of problems) on issues of cost, mesh quality and mesh tangling. Finally we will attempt to prove some fundamentatl theorems relating to the mesh distribution for one-dimensional methods applied to scale-invariant PDEs. This should aid an understanding of smoothing methods for such problems.
Key Findings
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Potential use in non-academic contexts
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Impacts
Description This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk Summary Date Materialised
Sectors submitted by the Researcher
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Project URL:
Further Information:
Organisation Website:	http://www.bath.ac.uk