Mesh Refinement Formulations in Adaptive Finite Element Methods

L. Y. Li; P. Bettess; J. W. Bull; T. Bond

doi:10.1243/pime_proc_1996_210_207_02

Mesh Refinement Formulations in Adaptive Finite Element Methods

L. Y. Li, P. Bettess, J. W. Bull, T. Bond

School of Engineering, Computing and Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper presents some new ideas for developing adaptive remeshing strategies. It is shown that correct mesh refinement formulations should be defined at an element level rather than a global level. To accomplish this, permissible element errors are required to be defined. This paper describes the methods to determine the permissible element errors. Two mesh refinement formulations are derived according to different accuracy definitions and are compared with the conventional mesh refinement formulation derived at the global level. Numerical examples are shown to explain the features of these mesh refinement formulations. Recommendations are made for use of these mesh refinement formulations.

Original language	English
Pages (from-to)	353-361
Number of pages	0
Journal	Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume	210
Issue number	4
DOIs	https://doi.org/10.1243/pime_proc_1996_210_207_02
Publication status	Published - Jul 1996

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abstract = " This paper presents some new ideas for developing adaptive remeshing strategies. It is shown that correct mesh refinement formulations should be defined at an element level rather than a global level. To accomplish this, permissible element errors are required to be defined. This paper describes the methods to determine the permissible element errors. Two mesh refinement formulations are derived according to different accuracy definitions and are compared with the conventional mesh refinement formulation derived at the global level. Numerical examples are shown to explain the features of these mesh refinement formulations. Recommendations are made for use of these mesh refinement formulations. ",

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DO - 10.1243/pime_proc_1996_210_207_02

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JF - Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

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ER -

Mesh Refinement Formulations in Adaptive Finite Element Methods

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