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High order methods for elliptic partial differential equations with singularities

✍ Scribed by Elias N. Houstis; John R. Rice

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
747 KB
Volume
18
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

This paper reports on an experimental study of the effectiveness of high order numerical methods applied to linear elliptic partial differential equations whose solutions have singularities or similar difficulties (e.g. boundary layers, sharp peaks). Three specific hypotheses are established with high levels of statistical confidence to support the general conclusion: there is a strong correlation between the order of a method and its efficiency. Higher order is better.

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