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Date of Publication:2022-10-10

Journal:大连理工大学学报

Issue:2

Page Number:234-240

ISSN No.:1000-8608

Abstract:Finite element method (FEM) is widely applied to the design and study of engineering as an approximate numerical method. However, it is necessary to estimate errors of FEM solutions and improve them when facing complicated problems which need more accurate results. Therefore, based on superconvergent patch recovery (SPR) method, the recovered fields of linear, bilinear and nonlinear polynomial are used for error estimation. The relationship between average relative errors and density of meshes is verified, and due to the comparison between recovered results and analytic results, the bilinear recovered field function is proved to be suitable for 3-nodes triangular elements, and a more accurate estimation result can also be gained in the coarse mesh than the linear recovered field function.

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