MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

mortar methods with curved interfaces

Bernd Flemisch, Jens Markus Melenk and Barbara Wohlmuth


We analyze a nonoverlapping domain decomposition technique with curvilinear boundaries.The weak coupling at the curved interfaces is carried out in terms of Lagrange multiplier spaces. We use the abstract framework of mortar and blending elements to obtain a priori results for this nonconforming discretization scheme. Introducing a mesh dependent jump on the curved interfaces based on piecewise linear approximations of the interfaces, the consistency error for the piecewise linear approximation can be decomposed into a consistency error for blending elements and a variational crime. Numerical results illustrate the performance of the method.


Related publications

2005 Repository Open Access
B. Flemisch, Jens Markus Melenk and B. I. Wohlmuth

Mortar methods with curved interfaces

In: Applied numerical mathematics, 54 (2005) 3-4, pp. 339-361