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CONVERGENCE ANALYSIS OF MORLEY ELEMENT ON ANISOTROPIC MESHES 被引量:2

CONVERGENCE ANALYSIS OF MORLEY ELEMENT ON ANISOTROPIC MESHES
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摘要 The main aim of this paper is to study tile convergence of a nonconforming triangular plate element-Morley element under anisotropic meshes. By a novel approach, an explicit bound for the interpolation error is derived for arbitrary triangular meshes (which even need not satisfy the maximal angle condition and the coordinate system condition ), the optimal consistency error is obtained for a family of anisotropically graded finite element meshes. The main aim of this paper is to study tile convergence of a nonconforming triangular plate element-Morley element under anisotropic meshes. By a novel approach, an explicit bound for the interpolation error is derived for arbitrary triangular meshes (which even need not satisfy the maximal angle condition and the coordinate system condition ), the optimal consistency error is obtained for a family of anisotropically graded finite element meshes.
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2006年第2期169-180,共12页 计算数学(英文)
关键词 Anisotropic meshes Interpolation error Consistency error Morley element. Anisotropic meshes, Interpolation error, Consistency error, Morley element.
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