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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

A Clough-Tocher type element useful for fourth order problems over nonpolygonal domains


Author: Lois Mansfield
Journal: Math. Comp. 32 (1978), 135-142
MSC: Primary 65N30
DOI: https://doi.org/10.1090/S0025-5718-1978-0468241-1
MathSciNet review: 0468241
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Abstract: A new macro-element useful for finite element approximations to fourth order elliptic problems with curved boundaries is presented. An error analysis is given which shows that these elements achieve $ O({h^2})$ accuracy in energy.


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DOI: https://doi.org/10.1090/S0025-5718-1978-0468241-1
Article copyright: © Copyright 1978 American Mathematical Society