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A Lagrange multiplier method for the finite element solution of elliptic interface problems using non–matching meshes

Peter Hansbo (Institutionen för tillämpad mekanik, Beräkningsteknik) ; Carlo Lovadina ; Ilaria Perugia ; Giancarlo Sangalli
Numerische Mathematik (0029-599X). Vol. 100 (2005), 1, p. 91-115.
[Artikel, refereegranskad vetenskaplig]

In this paper we propose a Lagrange multiplier method for the finite element solution of multi-domain elliptic partial differential equations using non-matching meshes. The interface Lagrange multiplier is chosen with the purpose of avoiding the cumbersome integration of products of functions on unrelated meshes (e.g, we will consider global polynomials as multiplier). The ideas are illustrated using Poisson's equation as a model, and the proposed method is shown to be stable and optimally convergent. Numerical experiments demonstrating the theoretical results are also presented.



Denna post skapades 2007-01-09.
CPL Pubid: 3703

 

Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Beräkningsteknik (2005-2006)

Ämnesområden

Matematik

Chalmers infrastruktur