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An extended error analysis for a meshfree discretization method of Darcy's problem

Abstract:

Recently ([21]), a new meshfree approximation method for Darcy’s problem has been introduced and analyzed. This method is based on a symmetric collocation approach using radial basis functions producing solutions with an analytically divergence-free velocity part. However, the error analysis provided in [21] works only for smooth solutions, where the smoothness is intrinsically linked to the smoothness of the employed basis function. In this paper, we will extend the error analysis to less sm...

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Daniela Schraeder More by this author
Holger Wendland More by this author
Publication date:
2010-08-05
URN:
uuid:6049e24e-4177-401c-ad5f-d4c82666fe4f
Local pid:
oai:eprints.maths.ox.ac.uk:979

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