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YUAN Si, XING Qin-yan, YE Kang-sheng. AN ERROR ESTIMATE OF EEP SUPER-CONVERGENT DISPLACEMENT OF SIMPLIFIED FORM IN ONE-DIMENSIONAL C1 FEM[J]. Engineering Mechanics, 2015, 32(9): 16-19. DOI: 10.6052/j.issn.1000-4750.2015.03.0695
Citation: YUAN Si, XING Qin-yan, YE Kang-sheng. AN ERROR ESTIMATE OF EEP SUPER-CONVERGENT DISPLACEMENT OF SIMPLIFIED FORM IN ONE-DIMENSIONAL C1 FEM[J]. Engineering Mechanics, 2015, 32(9): 16-19. DOI: 10.6052/j.issn.1000-4750.2015.03.0695
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AN ERROR ESTIMATE OF EEP SUPER-CONVERGENT DISPLACEMENT OF SIMPLIFIED FORM IN ONE-DIMENSIONAL C1 FEM

  • Department of Civil Engineering, Tsinghua University;

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  • Received Date: March 16, 2015
  • Revised Date: August 13, 2015
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    • Abstract
  • For one-dimensional C1 problems of the Ritz Finite Element Method (FEM), an error estimate of the super-convergent displacement is presented for the simplified form of the Element Energy Projection (EEP) method used for super-convergence computation in post-processing stage of FEM. The mathematical analysis proves that for elements of degree m(>3) with sufficiently smooth problems and solutions, EEP displacement of the simplified form is capable of producing a convergence order of hm+2 at any point on an element, i.e. being at least one order higher than the displacement from conventional FEM.
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    • References (11)
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