Partition of unity-based discontinuous finite elements: GFEM, PUFEM, XFEM

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Partition of unity-based discontinuous finite elements: GFEM, PUFEM, XFEM

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Meshless Methods and Partition of Unity Finite Elements

In this paper, meshless methods and partition of unity based finite element methods are reviewed. In meshless methods, the approximation is built without the explicit connectivity information between the nodes; moving-least squares approximants and natural neighbor-based interpolants are discussed. The enrichment of the finite element approximation through the partition of unity framework is de...

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An Extension of the Partition of Unity Finite Element Method

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The generalized product partition of unity for the meshless methods

The partition of unity is an essential ingredient for meshless methods named by GFEM, PUFEM (partition of unity FEM), XFEM(extended FEM), RKPM(reproducing kernel particle method), RPPM(reproducing polynomial particle method), the method of clouds in the literature. There are two popular choices for partition of unity: a piecewise linear FEM mesh and the Shepard-type partition of unity. However,...

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ژورنال

عنوان ژورنال: Revue européenne de génie civil

سال: 2007

ISSN: 1774-7120

DOI: 10.3166/regc.11.1045-1068