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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Improved accuracy by adapted mesh-refinements in the finite element method


Author: Kenneth Eriksson
Journal: Math. Comp. 44 (1985), 321-343
MSC: Primary 65N30; Secondary 65N50
MathSciNet review: 777267
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Abstract: For appropriately adapted mesh-refinements, optimal order error estimates are proved for the finite element approximate solution of the Neumann problem for the second-order elliptic equation $ Lu = \delta $, where $ \delta $ is the Dirac distribution.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1985-0777267-3
PII: S 0025-5718(1985)0777267-3
Keywords: Neumann problem, Green's function, finite element method, mesh-refinement, error estimate
Article copyright: © Copyright 1985 American Mathematical Society