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DC Field | Value | Language |
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dc.contributor.author | Mikhailov, SE | - |
dc.contributor.author | Mohamed, NA | - |
dc.date.accessioned | 2013-02-25T09:48:03Z | - |
dc.date.available | 2013-02-25T09:48:03Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | International Journal of Computer Mathematics, 89(11): 1488 - 1503, Apr 2012 | en_US |
dc.identifier.issn | 0020-7160 | - |
dc.identifier.uri | http://www.tandfonline.com/doi/abs/10.1080/00207160.2012.679733 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/7254 | - |
dc.description | This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2012 Taylor & Francis. | en_US |
dc.description.abstract | In this paper, a numerical implementation of a direct united boundary-domain integral equation (BDIE) related to the Neumann boundary value problem for a scalar elliptic partial differential equation with a variable coefficient is discussed. The BDIE is reduced to a uniquely solvable one by adding an appropriate perturbation operator. The mesh-based discretization of the BDIEs with quadrilateral domain elements leads to a system of linear algebraic equations (discretized BDIE). Then, the system is solved by LU decomposition and Neumann iterations. Convergence of the iterative method is discussed in relation to the distribution of eigenvalues of the corresponding discrete operators calculated numerically. | en_US |
dc.description.sponsorship | The work was supported by the grant EP/H020497/1 "Mathematical analysis of localised boundary-domain integral equations for BVPs with variable coefficients" of the EPSRC, UK. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Taylor & Francis | en_US |
dc.subject | Boundary-domain integral equations | en_US |
dc.subject | Numerical solution | en_US |
dc.subject | Iterative methods | en_US |
dc.subject | Spectrum | en_US |
dc.subject | Eigen-values | en_US |
dc.title | Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with variable coefficient | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1080/00207160.2012.679733 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Active Staff | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths | - |
pubs.organisational-data | /Brunel/Brunel Active Staff/School of Info. Systems, Comp & Maths/Maths | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Information Systems, Computing and Mathematics - URCs and Groups/Brunel Institute of Computational Mathematics | - |
Appears in Collections: | Publications Dept of Mathematics Research Papers Mathematical Sciences |
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