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DC Field | Value | Language |
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dc.contributor.author | Mikhailov, SE | - |
dc.contributor.author | Nakhova, IS | - |
dc.coverage.spatial | 9 | en |
dc.date.accessioned | 2009-06-04T14:03:50Z | - |
dc.date.available | 2009-06-04T14:03:50Z | - |
dc.date.issued | 2005 | - |
dc.identifier.citation | Journal of Engineering Mathematics. 51(3): 251-259, Mar 2005 | en |
dc.identifier.uri | http://www.springerlink.com/content/kw59137483183940/?p=74d83dbf32294166b802e9ad69f0a1ad&pi=1 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/3369 | - |
dc.description.abstract | An implementation of the localized boundary-domain integral-equation (LBDIE) method for the numerical solution of the Neumann boundary-value problem for a second-order linear elliptic PDE with variable coefficient is discussed. The LBDIE method uses a specially constructed localized parametrix (Levi function) to reduce the BVP to a LBDIE. After employing a mesh-based discretization, the integral equation is reduced to a sparse system of linear algebraic equations that is solved numerically. Since the Neumann BVP is not unconditionally and uniquely solvable, neither is the LBDIE. Numerical implementation of the finite-dimensional perturbation approach that reduces the integral equation to an unconditionally and uniquely solvable equation, is also discussed. | en |
dc.format.extent | 470141 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en | - |
dc.publisher | Springer | en |
dc.subject | Cut-off function | en |
dc.subject | Finite-dimensional perturbation | en |
dc.subject | Integral equation | en |
dc.subject | Linear partial differential equation | en |
dc.subject | Localized parametrix | en |
dc.subject | Sparse matrix | en |
dc.title | Mesh-based numerical implementation of the localized boundary-domain integral equation method to a variable-coefficient Neumann problem | en |
dc.type | Research Paper | en |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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Mesh-based numerical implementation.pdf | 459.12 kB | Adobe PDF | View/Open |
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