| EPSRC Reference: |
GR/J88616/01 |
| Title: |
PARALLEL METHODS FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS |
| Principal Investigator: |
Graham, Professor I |
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| Department: |
Mathematical Sciences |
| Organisation: |
University of Bath |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 February 1995 |
Ends: |
31 January 1997 |
Value (£): |
60,211
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Summary on Grant Application Form |
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Work to date on parallel methods in computational PDEs at Bath has included the development of a suit of programs which solve linear elliptic problems in two space dimensions by finite element methods. Iterative solution is by the conjugate gradient method, with preconditioners constructed using massively parallel domain decomposition techniques. These methods have been implemented on the MasPar MP-1 and on the CM-2, and have been found to be very suitable for solving the extremely ill-conditioned systems arising in semiconductor device modelling. The current proposal is to extend these methods to non-uniform grids, to three dimensional problems, and to produce a suite of portable parallel research software (conforming to the FORTRAN 90 standard) which implements these methods. The work will involve theoretical issues concerning the design of optimal domain decomposition preconditioners, especially in 3D, as well as the implementation of the resulting algorithms on massively parallel machines and the production of software.
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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 |
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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.bath.ac.uk |