Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/8056
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Gatica, GN | - |
dc.contributor.author | Maischak, M | - |
dc.contributor.author | Stephan, EP | - |
dc.date.accessioned | 2014-02-24T11:59:12Z | - |
dc.date.available | 2014-02-24T11:59:12Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | ESAIM: Mathematical Modelling and Numerical Analysis, 45(4), 779 - 802, 2011 | en_US |
dc.identifier.issn | 0764-583X | - |
dc.identifier.uri | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8119330 | en |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/8056 | - |
dc.description | © EDP Sciences, SMAI 2011 | en_US |
dc.description.abstract | This paper is concerned with the dual formulation of the interface problem consisting of a linear partial differential equation with variable coefficients in some bounded Lipschitz domain Ω in Rn (n ≥ 2) and the Laplace equation with some radiation condition in the unbounded exterior domain Ωc := Rn\ ̄Ω. The two problems are coupled by transmission and Signorini contact conditions on the interface Γ = ∂Ω. The exterior part of the interface problem is rewritten using a Neumann to Dirichlet mapping (NtD) given in terms of boundary integral operators. The resulting variational formulation becomes a variational inequality with a linear operator. Then we treat the corresponding numerical scheme and discuss an approximation of the NtD mapping with an appropriate discretization of the inverse Poincar´e-Steklov operator. In particular, assuming some abstract approximation properties and a discrete inf-sup condition, we show unique solvability of the discrete scheme and obtain the corresponding a-priori error estimate. Next, we prove that these assumptions are satisfied with Raviart- Thomas elements and piecewise constants in Ω, and continuous piecewise linear functions on Γ. We suggest a solver based on a modified Uzawa algorithm and show convergence. Finally we present some numerical results illustrating our theory. | en_US |
dc.language | English | - |
dc.language.iso | en | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.subject | Raviart-Thomas space | en_US |
dc.subject | Boundary integral operator | en_US |
dc.subject | Lagrange multiplier | en_US |
dc.title | Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1051/m2an/2010102 | - |
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 |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Fulltext.pdf | 660.03 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.