Name
Abstract | ||
|---|---|---|
The main goal of this paper is to establish the convergence of mimetic discretizations of the first-order system that describes linear diffusion. S pecifically, mimetic discretiza- tions based on the support-operators methodology (SO) have been applied successfully in a number of application areas, including diffusion and elect romagnetics. These discretizations have demonstrated excellent robustness, however, a rigorous convergence proof has been lacking. In this research, we prove convergence of the SO discretization for linear diffusion by first developing a connection of this mimetic discretizat ion with Mixed Finite Element (MFE) methods. This connection facilitates the application of existing tools and error esti- mates from the finite element literature to establish conver gence for the SO discretization. The convergence properties of the SO discretization are ver ified with numerical examples. |
Year | Venue | Field |
|---|---|---|
2001 | J. Num. Math. | Convergence (routing),Discretization,Mathematical optimization,Mathematical analysis,Finite difference,Electromagnetics,Robustness (computer science),Finite element method,Mathematics,Diffusion equation |
DocType | Volume | Issue |
Journal | 9 | 4 |
Citations | PageRank | References |
21 | 7.11 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Markus Berndt | 1 | 58 | 12.06 |
| K. Lipnikov | 2 | 521 | 57.35 |
| J. David Moulton | 3 | 36 | 12.31 |
| Mikhail Shashkov | 4 | 542 | 54.19 |