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DC Field | Value | Language |
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dc.contributor.author | Al-Jawary, MA | - |
dc.contributor.author | Ravnik, J | - |
dc.contributor.author | Wrobel, LC | - |
dc.contributor.author | Škerget, L | - |
dc.date.accessioned | 2014-09-15T15:11:26Z | - |
dc.date.available | 2014-09-15T15:11:26Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Computers & Mathematics with Applications, 64(8), 2695 - 2711, 2012 | en_US |
dc.identifier.issn | 0898-1221 | - |
dc.identifier.uri | http://www.sciencedirect.com/science/article/pii/S0898122112005135 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/9087 | - |
dc.description | This is the post-print version of the final paper published in Computers & Mathematics with Applications. The published article is available from the link below. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. Copyright @ 2012 Elsevier B.V. | en_US |
dc.description.abstract | This paper presents new formulations of the radial integration boundary integral equation (RIBIE) and the radial integration boundary integro-differential equation (RIBIDE) methods for the numerical solution of two-dimensional diffusion problems with variable coefficients. The methods use either a specially constructed parametrix (Levi function) or the standard fundamental solution for the Laplace equation to reduce the boundary-value problem (BVP) to a boundary–domain integral equation (BDIE) or boundary–domain integro-differential equation (BDIDE). The radial integration method (RIM) is then employed to convert the domain integrals arising in both BDIE and BDIDE methods into equivalent boundary integrals. The resulting formulations lead to pure boundary integral and integro-differential equations with no domain integrals. Furthermore, a subdomain decomposition technique (SDBDIE) is proposed, which leads to a sparse system of linear equations, thus avoiding the need to calculate a large number of domain integrals. Numerical examples are presented for several simple problems, for which exact solutions are available, to demonstrate the efficiency of the proposed approaches. | en_US |
dc.language | English | - |
dc.language.iso | en | en_US |
dc.publisher | Elsevier | en_US |
dc.subject | Boundary element method | en_US |
dc.subject | Variable coefficient | en_US |
dc.subject | Boundary-domain integral equation | en_US |
dc.subject | Boundary-domain integro-differential equation | en_US |
dc.subject | Radial integration method | en_US |
dc.subject | Domain decomposition | en_US |
dc.title | Boundary element formulations for the numerical solution of two-dimensional diffusion problems with variable coefficients | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/j.camwa.2012.08.002 | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mechanical, Aerospace and Civil Engineering | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mechanical, Aerospace and Civil Engineering/Mechanical and Aerospace Engineering | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme/Institute of Materials and Manufacturing | - |
pubs.organisational-data | /Brunel/Brunel Staff by Institute/Theme/Institute of Materials and Manufacturing/Structural Integrity | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/Brunel Business School - URCs and Groups/Centre for Research into Entrepreneurship, International Business and Innovation in Emerging Markets | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute for Ageing Studies | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Brunel Institute of Cancer Genetics and Pharmacogenomics | - |
pubs.organisational-data | /Brunel/University Research Centres and Groups/School of Health Sciences and Social Care - URCs and Groups/Centre for Systems and Synthetic Biology | - |
Appears in Collections: | Mechanical and Aerospace Engineering Dept of Mechanical and Aerospace Engineering Research Papers |
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