Mesh Smoothing with Global Optimization under Constraints

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KULOVEC, Simon ;KOS, Leon ;DUHOVNIK, Jožef .
Mesh Smoothing with Global Optimization under Constraints. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 57, n.7-8, p. 555-567, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/mesh-smoothing-with-global-optimization-under-constraints/>. Date accessed: 02 jul. 2020. 
doi:http://dx.doi.org/10.5545/sv-jme.2010.113.
Kulovec, S., Kos, L., & Duhovnik, J.
(2011).
Mesh Smoothing with Global Optimization under Constraints.
Strojniški vestnik - Journal of Mechanical Engineering, 57(7-8), 555-567.
doi:http://dx.doi.org/10.5545/sv-jme.2010.113
@article{sv-jmesv-jme.2010.113,
	author = {Simon  Kulovec and Leon  Kos and Jožef  Duhovnik},
	title = {Mesh Smoothing with Global Optimization under Constraints},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {7-8},
	year = {2011},
	keywords = {smoothing; sequential quadratic optimization; SQO; mesh structure; geometry; vertex; cost function},
	abstract = {Mesh (pre)processing remains an important issue for obtaining useful meshes used in mechanical engineering, especially for finite element calculations. An efficient and robust combination of constrained mesh smoothing together with global optimization based algorithm is presented. In contrast to other “popular” mesh smoothing algorithms that use only local diffusion approaches to smoothing we propose Lagrange-Newton Sequential Quadratic Optimization (LNO) with constraints that can satisfy local and global cost functions, respecting posed constraints. Local cost function is modeled with local average edge length, while global cost function includes barycenter and global average edge length. Experiments with triangular, quadrilateral, and mixed meshes show flexibility of the proposed method to achieve near ideal elements for given input meshes. Convergence is presented for several 2D and 3D meshes. Various additional goals can be mixed over the area of interest with applied weights. In contrast to other methods, unconstrained meshes still preserve their global shape while improving local quality.},
	issn = {0039-2480},	pages = {555-567},	doi = {10.5545/sv-jme.2010.113},
	url = {https://www.sv-jme.eu/sl/article/mesh-smoothing-with-global-optimization-under-constraints/}
}
Kulovec, S.,Kos, L.,Duhovnik, J.
2011 June 57. Mesh Smoothing with Global Optimization under Constraints. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 57:7-8
%A Kulovec, Simon 
%A Kos, Leon 
%A Duhovnik, Jožef 
%D 2011
%T Mesh Smoothing with Global Optimization under Constraints
%B 2011
%9 smoothing; sequential quadratic optimization; SQO; mesh structure; geometry; vertex; cost function
%! Mesh Smoothing with Global Optimization under Constraints
%K smoothing; sequential quadratic optimization; SQO; mesh structure; geometry; vertex; cost function
%X Mesh (pre)processing remains an important issue for obtaining useful meshes used in mechanical engineering, especially for finite element calculations. An efficient and robust combination of constrained mesh smoothing together with global optimization based algorithm is presented. In contrast to other “popular” mesh smoothing algorithms that use only local diffusion approaches to smoothing we propose Lagrange-Newton Sequential Quadratic Optimization (LNO) with constraints that can satisfy local and global cost functions, respecting posed constraints. Local cost function is modeled with local average edge length, while global cost function includes barycenter and global average edge length. Experiments with triangular, quadrilateral, and mixed meshes show flexibility of the proposed method to achieve near ideal elements for given input meshes. Convergence is presented for several 2D and 3D meshes. Various additional goals can be mixed over the area of interest with applied weights. In contrast to other methods, unconstrained meshes still preserve their global shape while improving local quality.
%U https://www.sv-jme.eu/sl/article/mesh-smoothing-with-global-optimization-under-constraints/
%0 Journal Article
%R 10.5545/sv-jme.2010.113
%& 555
%P 13
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 57
%N 7-8
%@ 0039-2480
%8 2018-06-29
%7 2018-06-29
Kulovec, Simon, Leon  Kos, & Jožef  Duhovnik.
"Mesh Smoothing with Global Optimization under Constraints." Strojniški vestnik - Journal of Mechanical Engineering [Online], 57.7-8 (2011): 555-567. Web.  02 Jul. 2020
TY  - JOUR
AU  - Kulovec, Simon 
AU  - Kos, Leon 
AU  - Duhovnik, Jožef 
PY  - 2011
TI  - Mesh Smoothing with Global Optimization under Constraints
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2010.113
KW  - smoothing; sequential quadratic optimization; SQO; mesh structure; geometry; vertex; cost function
N2  - Mesh (pre)processing remains an important issue for obtaining useful meshes used in mechanical engineering, especially for finite element calculations. An efficient and robust combination of constrained mesh smoothing together with global optimization based algorithm is presented. In contrast to other “popular” mesh smoothing algorithms that use only local diffusion approaches to smoothing we propose Lagrange-Newton Sequential Quadratic Optimization (LNO) with constraints that can satisfy local and global cost functions, respecting posed constraints. Local cost function is modeled with local average edge length, while global cost function includes barycenter and global average edge length. Experiments with triangular, quadrilateral, and mixed meshes show flexibility of the proposed method to achieve near ideal elements for given input meshes. Convergence is presented for several 2D and 3D meshes. Various additional goals can be mixed over the area of interest with applied weights. In contrast to other methods, unconstrained meshes still preserve their global shape while improving local quality.
UR  - https://www.sv-jme.eu/sl/article/mesh-smoothing-with-global-optimization-under-constraints/
@article{{sv-jme}{sv-jme.2010.113},
	author = {Kulovec, S., Kos, L., Duhovnik, J.},
	title = {Mesh Smoothing with Global Optimization under Constraints},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {57},
	number = {7-8},
	year = {2011},
	doi = {10.5545/sv-jme.2010.113},
	url = {https://www.sv-jme.eu/sl/article/mesh-smoothing-with-global-optimization-under-constraints/}
}
TY  - JOUR
AU  - Kulovec, Simon 
AU  - Kos, Leon 
AU  - Duhovnik, Jožef 
PY  - 2018/06/29
TI  - Mesh Smoothing with Global Optimization under Constraints
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 57, No 7-8 (2011): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2010.113
KW  - smoothing, sequential quadratic optimization, SQO, mesh structure, geometry, vertex, cost function
N2  - Mesh (pre)processing remains an important issue for obtaining useful meshes used in mechanical engineering, especially for finite element calculations. An efficient and robust combination of constrained mesh smoothing together with global optimization based algorithm is presented. In contrast to other “popular” mesh smoothing algorithms that use only local diffusion approaches to smoothing we propose Lagrange-Newton Sequential Quadratic Optimization (LNO) with constraints that can satisfy local and global cost functions, respecting posed constraints. Local cost function is modeled with local average edge length, while global cost function includes barycenter and global average edge length. Experiments with triangular, quadrilateral, and mixed meshes show flexibility of the proposed method to achieve near ideal elements for given input meshes. Convergence is presented for several 2D and 3D meshes. Various additional goals can be mixed over the area of interest with applied weights. In contrast to other methods, unconstrained meshes still preserve their global shape while improving local quality.
UR  - https://www.sv-jme.eu/sl/article/mesh-smoothing-with-global-optimization-under-constraints/
Kulovec, Simon, Kos, Leon, AND Duhovnik, Jožef.
"Mesh Smoothing with Global Optimization under Constraints" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 57 Number 7-8 (29 June 2018)

Avtorji

Inštitucije

  • University of Ljubljana, Faculty of Mechanical Engineering, Aškerčeva 6, 1000 Ljubljana 1

Informacije o papirju

Strojniški vestnik - Journal of Mechanical Engineering 57(2011)7-8, 555-567

https://doi.org/10.5545/sv-jme.2010.113

Mesh (pre)processing remains an important issue for obtaining useful meshes used in mechanical engineering, especially for finite element calculations. An efficient and robust combination of constrained mesh smoothing together with global optimization based algorithm is presented. In contrast to other “popular” mesh smoothing algorithms that use only local diffusion approaches to smoothing we propose Lagrange-Newton Sequential Quadratic Optimization (LNO) with constraints that can satisfy local and global cost functions, respecting posed constraints. Local cost function is modeled with local average edge length, while global cost function includes barycenter and global average edge length. Experiments with triangular, quadrilateral, and mixed meshes show flexibility of the proposed method to achieve near ideal elements for given input meshes. Convergence is presented for several 2D and 3D meshes. Various additional goals can be mixed over the area of interest with applied weights. In contrast to other methods, unconstrained meshes still preserve their global shape while improving local quality.

smoothing; sequential quadratic optimization; SQO; mesh structure; geometry; vertex; cost function