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035 _a.b11876104
099 9 _aAIT Thesis no.ST-02-12
100 0 _aSoe Soe Tin
245 1 0 _aError estimator for an adaptive scheme of element free galerkin method
260 _aBangkok :
_bAsian Institute of Technology,
_c2002
300 _a57 leaves
490 1 _aThesis ;
_vno. ST-02-12
500 _aA thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Civil Engineering
502 _aThesis (M.Eng.) - Asian Institute of Technology,2002
520 _aA residual based posteriori error estimator, based on Galerkin weighted residual method, is proposed in this study in conjunction with an Element-Free Galerkin Method (EFGM) adaptive scheme. In the formulation of Galerkin residual equation, the residual error over the entire domain was minimized by enforcing the error to vanish globally over the domain with respect to Moving Least Square displacement function. This global error can localize over individual cells or elements. Moving least square approximation is used as the trial and test functions for formulation of Element Free Galerkin Method. In the present adaptive scheme for EFGM, the size of DOI and integration cells used in the adaptive EFGM scheme varied according to density of nodes in the domain. New nodes will be added where accuracy is lower than specified value. Numerical tests confirm the effectiveness of the proposed estimator in identifying where to add nodes, and in signaling the end of the node refinement.
650 1 0 _aError analysis (Mathematics)
700 0 _aWorsak Kanok-Nukulchai,
_eChairperson
700 1 _aBarry, William Joseph,
_eExamination Committee
700 1 _aKim, Kidu,
_eExamination Committee
710 2 _aAsian Institute of Technology(Three Terms Fellowship),
_eScholarship Donor
810 2 _aAsian Institute of Technology.
_tThesis ;
_vno. ST-02-12
856 _3Full-Text
_uhttp://203.159.5.9/ait-thesis/detail.php?q=B07534
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