A Lagrange multiplier method for the finite element solution of elliptic interface problems using non–matching meshes
Artikel i vetenskaplig tidskrift, 2005

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.

Författare

Peter F G Hansbo

Chalmers, Tillämpad mekanik, Beräkningsteknik

Carlo Lovadina

Universita degli studi di Pavia

Ilaria Perugia

Universita degli studi di Pavia

Giancarlo Sangalli

Istituto Di Matematica Applicata E Tecnologie Informatiche, Pavia

Numerische Mathematik

0029-599X (ISSN) 0945-3245 (eISSN)

Vol. 100 1 91-115

Ämneskategorier

Matematik

DOI

10.1007/s00211-005-0587-4