We present and analyze an a posteriori error estimator based on mesh refinement for the solution of the hypersingular boundary integral equation governing the Laplacian in three dimensions. The discretization under consideration is a non-conforming domain decomposition method based on the Nitsche technique. Assuming a saturation property, we establish quasi-reliability and efficiency of the error estimator in comparison with the error in a natural (non-conforming) norm. Numerical experiments with uniform and adaptively refined meshes confirm our theoretical results.
@article{arxiv.1307.7310,
title = {A posteriori error analysis for a boundary element method with non-conforming domain decomposition},
author = {Catalina Domínguez and Norbert Heuer},
journal= {arXiv preprint arXiv:1307.7310},
year = {2013}
}