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Error Estimate and Adaptive Refinement in Mixed Discrete Least Squares Meshless Method
Joint Authors
Amani, J.
Rabczuk, Timon
Saboor Bagherzadeh, A.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The node moving and multistage node enrichment adaptive refinement procedures are extended in mixed discrete least squares meshless (MDLSM) method for efficient analysis of elasticity problems.
In the formulation of MDLSM method, mixed formulation is accepted to avoid second-order differentiation of shape functions and to obtain displacements and stresses simultaneously.
In the refinement procedures, a robust error estimator based on the value of the least square residuals functional of the governing differential equations and its boundaries at nodal points is used which is inherently available from the MDLSM formulation and can efficiently identify the zones with higher numerical errors.
The results are compared with the refinement procedures in the irreducible formulation of discrete least squares meshless (DLSM) method and show the accuracy and efficiency of the proposed procedures.
Also, the comparison of the error norms and convergence rate show the fidelity of the proposed adaptive refinement procedures in the MDLSM method.
American Psychological Association (APA)
Amani, J.& Saboor Bagherzadeh, A.& Rabczuk, Timon. 2014. Error Estimate and Adaptive Refinement in Mixed Discrete Least Squares Meshless Method. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-493310
Modern Language Association (MLA)
Amani, J.…[et al.]. Error Estimate and Adaptive Refinement in Mixed Discrete Least Squares Meshless Method. Mathematical Problems in Engineering No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-493310
American Medical Association (AMA)
Amani, J.& Saboor Bagherzadeh, A.& Rabczuk, Timon. Error Estimate and Adaptive Refinement in Mixed Discrete Least Squares Meshless Method. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-493310
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493310