A Lagrange multiplier method for the finite element solution of elliptic domain decomposition problems using non-matching meshes

@inproceedings{Hansbo2003ALM,
  title={A Lagrange multiplier method for the finite element solution of elliptic domain decomposition problems using non-matching meshes},
  author={Peter Hansbo and Carlo Lovadina and Ilaria Perugia and Giancarlo Sangalli},
  year={2003}
}
In this paper we propose a Lagrange multiplier method for the finite element solution of elliptic partial differential equations using domain decomposition with non-matching meshes. The interface Lagrange multiplier is discretized by means of global polynomials, in order to avoid the cumbersome integration of products of unrelated mesh functions. The ideas… CONTINUE READING