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On the accuracy of least squares methods in the presence of corner singularities

โœ Scribed by C.L. Cox; G.J. Fix

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
655 KB
Volume
10
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

This paper treats elliptic problems with comer singilarities. Finite element approximations based on variational principles of the least squares type tend to display poor convergence properties in such contexts. Moreover, mesh refinement or the use of special singular elements do not appreciably improve matters. Here we show that if the least squares formulation is done in appropriately weighted spaces. then optimal convergence results in unweighted spaces like L'.

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