A Derivative-Free Mesh Optimization Algorithm for Mesh Quality Improvement and Untangling
Joint Authors
Kim, Jibum
Shin, Myeonggyu
Kang, Woochul
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-31
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We propose a derivative-free mesh optimization algorithm, which focuses on improving the worst element quality on the mesh.
The mesh optimization problem is formulated as a min-max problem and solved by using a downhill simplex (amoeba) method, which computes only a function value without needing a derivative of Hessian of the objective function.
Numerical results show that the proposed mesh optimization algorithm outperforms the existing mesh optimization algorithm in terms of improving the worst element quality and eliminating inverted elements on the mesh.
American Psychological Association (APA)
Kim, Jibum& Shin, Myeonggyu& Kang, Woochul. 2015. A Derivative-Free Mesh Optimization Algorithm for Mesh Quality Improvement and Untangling. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073351
Modern Language Association (MLA)
Kim, Jibum…[et al.]. A Derivative-Free Mesh Optimization Algorithm for Mesh Quality Improvement and Untangling. Mathematical Problems in Engineering No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1073351
American Medical Association (AMA)
Kim, Jibum& Shin, Myeonggyu& Kang, Woochul. A Derivative-Free Mesh Optimization Algorithm for Mesh Quality Improvement and Untangling. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1073351
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073351