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2008 IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application
Optimizing 2-D Triangulations by the Steepest Descent Method
December 19-December 20
ISBN: 978-0-7695-3490-9
| ASCII Text | x | ||
| Jinguo He, "Optimizing 2-D Triangulations by the Steepest Descent Method," Pacific-Asia Workshop on Computational Intelligence and Industrial Application, IEEE, vol. 2, pp. 939-943, 2008 IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application, 2008. | |||
| BibTex | x | ||
| @article{ 10.1109/PACIIA.2008.310, author = {Jinguo He}, title = {Optimizing 2-D Triangulations by the Steepest Descent Method}, journal ={Pacific-Asia Workshop on Computational Intelligence and Industrial Application, IEEE}, volume = {2}, year = {2008}, isbn = {978-0-7695-3490-9}, pages = {939-943}, doi = {http://doi.ieeecomputersociety.org/10.1109/PACIIA.2008.310}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - CONF JO - Pacific-Asia Workshop on Computational Intelligence and Industrial Application, IEEE TI - Optimizing 2-D Triangulations by the Steepest Descent Method SN - 978-0-7695-3490-9 SP939 EP943 A1 - Jinguo He, PY - 2008 KW - triangulations KW - optimizing KW - steepest descent method VL - 2 JA - Pacific-Asia Workshop on Computational Intelligence and Industrial Application, IEEE ER - | |||
2-D triangulations are useful for building 3-D models or constructing meshes for finite element methods in scientific computing. This paper suggests a new objective function in optimizing the shape of elements. Our new objective function provides a criterion for evaluating the uniformity of a given triangulation. The criterion can be used to optimize triangulations by the steepest descent method. Furthermore, this paper outlines a new strategy of step-size controlling to guarantee that non self-intersections exist within the triangulations. Computational experiments show that the new optimization method is stable and well performed.
Index Terms:
triangulations, optimizing, steepest descent method
Citation:
Jinguo He, "Optimizing 2-D Triangulations by the Steepest Descent Method," paciia, vol. 2, pp.939-943, 2008 IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application, 2008
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