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Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM

Gabriel N. GaticaMatthias MaischakErnst P. Stephan — 2011

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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 n ( ≥ 2) and the Laplace equation with some radiation condition in the unbounded exterior domain Ω:= n 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...

Numerical analysis of a transmission problem with Signorini contact using mixed-FEM and BEM

Gabriel N. GaticaMatthias MaischakErnst P. Stephan — 2011

ESAIM: Mathematical Modelling and Numerical Analysis

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 n ( ≥ 2) and the Laplace equation with some radiation condition in the unbounded exterior domain Ω := n 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) ...

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