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Title: Partition of unity isogeometric analysis for singularly perturbed problems and fourth order differential equations containing singularities
Author: Kim, Sinae
Date Created: 2016
Subjects--Topical: Mathematics
Description: The design basis functions in IGA are refined and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) functions with flat-top. These reconditioned and modified basis functions are pushed for...

Title: Meshless boundary particle methods for boundary integral equations and meshfree particle methods for plates
Author: Davis, Christopher
Date Created: 2011
Subjects--Topical: Mechanical engineering, Mathematics
Description: For approximating the solution of partial differential equations (PDE), meshless methods have been introduced to alleviate the difficulties arising in mesh generation using the conventional Finite Element Method (FEM). Many meshless methods introd...

Title: A MESHLESS METHOD WITH ENRICHED BASIS FUNCTIONS FOR SINGULARITY PROBLEMS
Author: Hong, Won-Tak
Date Created: 2009
Subjects--Topical: Mechanical engineering, Mechanics, Mathematics
Description: For the last several decades, the Finite Element Method (FEM) has been a powerful tool in solving challenging science and engineering problems, especially when solution domains have complex geometry. However the mesh refinements and construction o...