The piecewise polynomial partition of unity functions for the generalized finite element methods

Oh, Hae-Soo; Kim, June G.; Hong, Won-Tak

doi:10.1016/j.cma.2008.02.035

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The piecewise polynomial partition of unity functions for the generalized finite element methods

Oh, Hae-Soo;
Kim, June G.;
Hong, Won-Tak

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WEB OF SCIENCE

32

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SCOPUS

39

초록

A partition of unity (PU) function is an essential component of the generalized finite element method (GFEM). The popular Shepard PU functions, which are rational functions, are easy to construct, but have difficulties in dealing with essential boundary conditions and require lengthy computing time for reasonable accuracy in numerical integration. In this paper, we introduce two simple PU functions. The first is a highly regular piecewise polynomial consisting of two distinct polynomials that is effective for uniformly partitioned patches. The second is a highly regular piecewise polynomial consisting of three distinct polynomials which is for arbitrary partitioned patches. (C) 2008 Elsevier B.V. All rights reserved.

키워드

simple partition of unity functions; partition of unity finite element methods (PUFEM); Shepard functions; convolution partition of unity functions; condition numbers of stiffness matrices; PARTICLE-SHAPE FUNCTIONS; SELECTION

제목: The piecewise polynomial partition of unity functions for the generalized finite element methods

저자: Oh, Hae-Soo; Kim, June G.; Hong, Won-Tak

DOI: 10.1016/j.cma.2008.02.035

발행일: 2008

유형: Article

저널명: Computer Methods in Applied Mechanics and Engineering

권: 197

호: 45-48

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