| EPSRC Reference: |
EP/D076587/1 |
| Title: |
Development of special finite elements for two-dimensional elastic wave problems |
| Principal Investigator: |
Laghrouche, Professor O |
| Other Investigators: |
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| Project Partners: |
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| Department: |
Sch of the Built Environment |
| Organisation: |
Heriot-Watt University |
| Scheme: |
First Grant Scheme |
| Starts: |
27 February 2007 |
Ends: |
26 February 2010 |
Value (£): |
200,755
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Summary on Grant Application Form |
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In order to model wave problems using the finite element method, it is usual to discretise the domain such that there are about ten nodal points per wavelength. However, such a procedure is computationally expensive and impractical if the wavelength is short and/or the computational domain is large. The aim of the proposed research is to develop finite elements for elastic wave problems capable of containing many wavelengths per nodal spacing rather than many elements per wavelength. This will be achieved by applying the plane wave basis decomposition to the elastic wave equation. These elements will allow us to relax the traditional requirement of around ten nodal points per wavelength and therefore solve elastic wave problems without refining the mesh of the computational domain at each frequency.Compared with conventional finite element meshes, the proposed finite elements are capable of reducing the total number of variables needed to solve a problem by up to 90%. This will allow fast and accurate solutions of elastic wave problems, and will lead to huge savings in terms of computer simulation time and memory.
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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.hw.ac.uk |