Wavelet Stabilization and Preconditioning for Domain Decomposition

Abstract

The aim of this paper is to propose a stabilization technique in order to circumvent the two inf{sup conditions needed for stability of the discretization of the Three Fields Formulation for domain decomposition methods BM93, BM94]. Realization of this technique in terms of wavelets is presented. Furthermore, the resulting discrete problem is shown to admit an asymptotically optimal preconditioner also based on wavelets.

Cite this paper

@inproceedings{Bertoluzza1999WaveletSA, title={Wavelet Stabilization and Preconditioning for Domain Decomposition}, author={Silvia Bertoluzza and Angela Kunoth}, year={1999} }