Solving membrane vibration problem by the finite element interpolation post-processing on meshes with hanging nodes

机译：用悬挂节点的网眼接收后处理求解膜振动问题

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This paper studies highly accurate algorithm for membrane vibration problem. Based on the theory of the interpolation post-processing, this paper establishes a scheme of bi-quadratic interpolation post-processing of bilinear rectangular element on a locally refined mesh with hanging nodes. And the resulting solution is very satisfactory.

机译：本文研究了高精度的膜振动问题算法。基于插值后处理的理论，本文建立了垂悬的节点的局部精制网格上的双向矩形元件的双二次插值后处理方案。所得到的解决方案非常令人满意。

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《SREE Conference on Engineering Modelling and Simulation》|2013年||共7页
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Hao Li; Hai Bi; Lingling Sun;
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中图分类计算机仿真;
关键词
finite element; membrane vibration problem; interpolation; Rayleigh quotient; hanging nodes;

机译：有限元;膜振动问题;插值;瑞利商;悬挂节点;

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3. Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes [J] . Ainsworth M., Rankin R. IMA Journal of Numerical Analysis . 2011,第1期

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4. Solving membrane vibration problem by the finite element interpolation post-processing on meshes with hanging nodes [C] . Hao Li, Hai Bi, Lingling Sun SREE Conference on Engineering Modelling and Simulation . 2013

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7. Solving Membrane Vibration Problem by the Finite Element Interpolation Post-Processing on Meshes with Hanging Nodes [O] . Li Hao, Bi Hai, Sun Lingling, 2012

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8. Assembled Surface Normal Algorithm for Interior Node Removal in Three-Dimensional Finite Element Meshes [R] . Belytschko, T., Law, S. E. 1985

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Solving membrane vibration problem by the finite element interpolation post-processing on meshes with hanging nodes

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