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Higher-order compact mixed methods

✍ Scribed by CAREY, G. F. ;SPOTZ, W. F.

Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
209 KB
Volume
13
Category
Article
ISSN
1069-8299

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✦ Synopsis

We develop a class of higher-order mixed ®nite dierence methods for elliptic partial dierential equations. The problem is recast as a ®rst-order mixed system and the higher-order compact schemes follow as a natural extension of the formulations we developed previously for the scalar PDE problem. Since the ¯ux appears explicitly in the mixed formulation we obtain higher-order (nodal superconvergent) solutions in both the primary solution ®eld and also the ¯ux. Some supporting numerical experiments are included to demonstrate the superconvergent rates.

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