Title: TWO-LEVEL ADDITIVE SCHWARZ METHODS FOR A DISCONTINUOUS GALERKIN APPROXIMATION OF SECOND
Abstract: We present some two-level nonoverlapping and overlapping additive Schwarz methods for a discontinuous Galerkin method for solving second order elliptic problems. It is shown that the condition numbers of the preconditioned systems are of the order O( H h ) for the nonoverlapping Schwarz methods and of the order O( H δ ) for the overlapping Schwarz methods, where h and H stand for the fine-mesh size and the coarse-mesh size, respectively, and δ denotes the size of the overlaps between subdomains. Numerical experiments are provided to gauge the efficiency of the methods and to validate the theory.
Publication Year: 2001
Publication Date: 2001-01-01
Language: en
Type: article
Access and Citation
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot