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Mathematics of Computation

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Finite element methods of optimal order for problems with singular data


Author: Kenneth Eriksson
Journal: Math. Comp. 44 (1985), 345-360
MSC: Primary 65N30; Secondary 65N50
MathSciNet review: 777268
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Abstract: An adapted finite element method is proposed for a class of elliptic problems with singular data. The idea is to subtract the main singularity from the solution and to solve for the remainder using suitable mesh-refinements. Optimal order error estimates are proved.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1985-0777268-5
Keywords: Neumann problem, Green's function, adapted finite element methods, mesh-refinement, optimal order, error estimate
Article copyright: © Copyright 1985 American Mathematical Society