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A meshfree adaptive numerical method

Posted on:2005-02-06Degree:Ph.DType:Dissertation
University:The University of Texas at ArlingtonCandidate:Morris, William HarperFull Text:PDF
GTID:1450390008479991Subject:Mathematics
Abstract/Summary:
This method extends adaptation to meshfree numerical methods. Adaptation has been previously used on structured and unstructured meshes. Adaptation of meshfree methods is a logical extension. This paper explores a one-dimensional problem, u' = g, using meshfree adaptation. It uses the least squares finite element method, LSFEM. The adaptation seeks to reduce the error represented by the square of the residual, (u' - g) 2.
Keywords/Search Tags:Meshfree, Adaptation
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