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EPSRC Reference: GR/R84887/01
Title: Moving mesh methods for adaptive solution of partial differential equations
Principal Investigator: Sloan, Professor D
Other Investigators:
Researcher Co-Investigators:
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Department: Mathematics and Statistics
Organisation: University of Strathclyde
Scheme: Standard Research (Pre-FEC)
Starts: 07 July 2002 Ends: 06 October 2002 Value (£): 2,563
EPSRC Research Topic Classifications:
Numerical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Summary on Grant Application Form
To construct a numerical moving mesh procedure based on the geometric conservation law (GCL). A preliminary version of this procedure generates computational meshes that may suffer from skewness. We shall address the problem of reducing the skewness by a judicious use of Delaunay triangulation repeatedly to change the connectivity of the mesh points. The procedure will be extended to deal with the approximate solution of PDEs. We anticipate that ideas will be formulated on the use of fast triangulation algorithms and on the selection of suitable monitor functions.
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Organisation Website: http://www.strath.ac.uk