Published March 1987
| Published
Journal Article
Open
On the Rate of Convergence of Viscosity Solutions for Boundary Value Problems
- Creators
- Lorenz, Jens
- Sanders, Richard
Abstract
A class of singularly perturbed boundary value problems is considered for viscosity tending to zero. From compactness arguments it is known that the solutions converge to a limit function characterized by an entropy inequality. We formulate an approximate entropy inequality (AEI) and use it to obtain the order of convergence. The AEI is also used to obtain the order of convergence for monotone difference schemes.
Additional Information
© 1987 Society for Industrial and Applied Mathematics. Received by the editors January 13, 1986; accepted for publication May 8, 1986. The research of this author [J.L.] was supported by National Science Foundation grant DMS 83-12264 and Department of Energy grant DE/AT/03/76ER/72012. The research of this author [R.S.] was supported by National Science Foundation grant DMS 8505422.Attached Files
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Additional details
- Eprint ID
- 12047
- Resolver ID
- CaltechAUTHORS:LORsiamjma87
- DE/AT/03/76ER/72012
- Department of Energy (DOE)
- DMS 8505422
- NSF
- Created
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2008-10-21Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field