Mid-node admissible spaces for quadratic triangular arbitrarily curved 2D finite elements

Ahmed Z.I. Salem; Scott A. Canann; Sunil Saigal

doi:10.1002/1097-0207(20010120)50:2<253::AID-NME10>3.0.CO;2-G

Mid-node admissible spaces for quadratic triangular arbitrarily curved 2D finite elements

Ahmed Z.I. Salem, Scott A. Canann, Sunil Saigal

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

7 Scopus citations

Abstract

This paper presents the extension of the mid-node admissible space (MAS) concept for two-dimensional quadratic triangular element (2DQTE) to the case when more than one edge is curved. The mathematical background for the MAS for 2DQTE with more than one edge curved is developed. A metric, based on the determination of the Jacobian distribution, whose evaluation and implementation is aided through the use of the MAS is developed. The evaluation of the quality of an element based on this metric and procedures to repair an element to produce better results are also presented.

Original language	English (US)
Pages (from-to)	253-272
Number of pages	20
Journal	International Journal for Numerical Methods in Engineering
Volume	50
Issue number	2
DOIs	https://doi.org/10.1002/1097-0207(20010120)50:2<253::AID-NME10>3.0.CO;2-G
State	Published - Jan 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Engineering
Applied Mathematics
Numerical Analysis

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10.1002/1097-0207(20010120)50:2<253::AID-NME10>3.0.CO;2-G

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abstract = "This paper presents the extension of the mid-node admissible space (MAS) concept for two-dimensional quadratic triangular element (2DQTE) to the case when more than one edge is curved. The mathematical background for the MAS for 2DQTE with more than one edge curved is developed. A metric, based on the determination of the Jacobian distribution, whose evaluation and implementation is aided through the use of the MAS is developed. The evaluation of the quality of an element based on this metric and procedures to repair an element to produce better results are also presented.",

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AU - Canann, Scott A.

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AB - This paper presents the extension of the mid-node admissible space (MAS) concept for two-dimensional quadratic triangular element (2DQTE) to the case when more than one edge is curved. The mathematical background for the MAS for 2DQTE with more than one edge curved is developed. A metric, based on the determination of the Jacobian distribution, whose evaluation and implementation is aided through the use of the MAS is developed. The evaluation of the quality of an element based on this metric and procedures to repair an element to produce better results are also presented.

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Mid-node admissible spaces for quadratic triangular arbitrarily curved 2D finite elements

Abstract

All Science Journal Classification (ASJC) codes

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