| EPSRC Reference: |
GR/L54233/01 |
| Title: |
APPLICATIONS OF QUASI-NEWTON METHODS IN THE COUPLING SUBPROBLEMS IN DOMAIN DECOMPOSITION |
| Principal Investigator: |
Lai, Professor C |
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| Department: |
Sch of Computing and Maths Sci |
| Organisation: |
University of Greenwich |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 May 1997 |
Ends: |
31 July 1998 |
Value (£): |
4,150
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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The proposed research is to examine the convergence and performance of some quasi-Newton methods for the coupling of non-linear subproblems. These non-linear subproblems, sharing a common interface, are usually resulted from a domain decomposition of non-linear problems. They may also result from differential mathematical models within larger physical phenomena such as boundary layer and inviscid interactions, fluid-structure interactions, melting of ice following Stefans model etc. The coupling along an interface is via certain interaction laws or equilibrium state equations which can be loosely referred to as an interface equation. Such equation is usually non-linear which makes Newtons method an ideal candidate. Early numerical experiments for non-linear heat conduction problems show the advantage of the approach. To obtain a good initial approximation for Newtons iteration, we propose to include an adaptive parameter in a Richardsons iterative scheme that requires small computational overhead. A non-linear heat conduction problem and the coupling of a convection dominant model and a diffusion dominant model will be tested. Finally, the present approach will be compared to Newton-Krylov-Schwarz methods.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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| Date Materialised |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.gre.ac.uk |