Name
Title | ||
|---|---|---|
Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems |
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 $O(\frac{H}{h})$ for the nonoverlapping Schwarz methods and of the order $O(\frac{H}{\delta})$ for the overlapping Schwarz methods, where h and H stand for the fine-mesh size and the coarse-mesh size, respectively, and $\delta$ denotes the size of the overlaps between subdomains. Numerical experiments are provided to gauge the efficiency of the methods and to validate the theory. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1137/S0036142900378480 | SIAM Journal on Numerical Analysis |
Keywords | Field | DocType |
discontinuous Galerkin methods,Schwarz methods,domain decomposition | Discontinuous Galerkin method,Condition number,Mathematical analysis,Schwarz integral formula,Galerkin method,Additive Schwarz method,Schwarz alternating method,Elliptic curve,Mathematics,Domain decomposition methods | Journal |
Volume | Issue | ISSN |
39 | 4 | 0036-1429 |
Citations | PageRank | References |
36 | 14.59 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xiaobing Feng | 1 | 906 | 112.55 |
| Ohannes A. Karakashian | 2 | 202 | 28.44 |