Details of Grant 

EPSRC Reference:	GR/M00077/01
Title:	ANISOTROPIC MESH ADAPTION AND ERROR ESTIMATION FOR THE F.E. SOLUTION OF 3-D CONVECTION DOMINATED P.D.E.S.
Principal Investigator:	Jimack, Professor PK
Other Investigators:	Berzins, Professor M
Researcher Co-Investigators:
Project Partners:	Shell
Department:	Sch of Computing
Organisation:	University of Leeds
Scheme:	Standard Research (Pre-FEC)
Starts:	01 December 1998	Ends:	30 November 2000	Value (£):	87,655
EPSRC Research Topic Classifications:	Numerical Analysis
EPSRC Industrial Sector Classifications:	R&D
Related Grants:
Panel History:
Summary on Grant Application Form
The main purpose of this research is to develop and apply directional error estimates and associated anisotropic mesh refinement strategies for the finite element solution of steady and time-dependent convection dominated problems in three dimensions. The starting point for this work will be our own research experience using anisotropic refinement in 2-d and isotropic refinement in 3-d, along with recently published work on a posteriori error estimates for hyperbolic problems.The main new contribution will be to modify existing a posteriori error estimates so as to provide adaptive software with reliable information on how to refine in given directions throughout the solution domain. The feasibility of this work is suggested by the successful experiences of others for elliptic problems and, importantly, by the results of a priori analysis which clearly demonstrate that anisotropic refinement can yield much better representations of typical solutions than isotropic refinement.To demonstrate the advantages of using our new error estimates and our anisotropic refinement strategies, these will be applied to the solution of two non-trivial test problems, including a challenging nonlinear gas jet problem for which we and our collaborators have significant 2-d (axisymetric) experience. Advantages over using conventional isotropic refinement will be quantified.
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Organisation Website:	http://www.leeds.ac.uk