Published July 1985
| Published
Journal Article
Open
A Two-Dimensional Mesh Refinement Method for Problems with One-Dimensional Singularities
- Creators
- Brown, David L.
- Reyna, Luis Guillermo M.
Abstract
This paper introduces a method for resolving internal layers that can occur in the solutions of time-dependent differential equations in two space dimensions. Singular features in these solutions that are essentially one-dimensional in nature but are not oriented with the computational mesh are resolved using one-dimensional mesh refinement techniques with a procedure that is similar to an ADI method. A careful interpolation procedure assures that the resolution obtained in each ADI step is not lost in the succeeding ADI step.
Additional Information
© 1985 Society for Industrial and Applied Mathematics. Received by the editors July 14, 1983, and in revised form January 23, 1984. This research was partially supported by the Office of Naval Research under contract N00014-80-CO076. Computer time was provided by the Stanford Exploration Project (Stanford University Department of Geophysics), the National Center for Atmospheric Research, and on the California Institute of Technology Applied Mathematics Department Fluid Dynamics VAX. We would like to thank Michael Naughton for carefully reading the manuscript and making several helpful comments.Attached Files
Published - BROsiamjssc85.pdf
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BROsiamjssc85.pdf
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Additional details
- Eprint ID
- 32187
- Resolver ID
- CaltechAUTHORS:20120629-082824585
- N00014-80-CO076
- Office of Naval Research (ONR)
- Created
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2012-07-02Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field