Application of Meshless Methods for Thermal Analysis

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PEPPER, Darrell W.;ŠARLER, Božidar .
Application of Meshless Methods for Thermal Analysis. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 51, n.7-8, p. 476-483, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/application-of-meshless-methods-for-thermal-analysis/>. Date accessed: 21 feb. 2020. 
doi:http://dx.doi.org/.
Pepper, D., & Šarler, B.
(2005).
Application of Meshless Methods for Thermal Analysis.
Strojniški vestnik - Journal of Mechanical Engineering, 51(7-8), 476-483.
doi:http://dx.doi.org/
@article{.,
	author = {Darrell W. Pepper and Božidar  Šarler},
	title = {Application of Meshless Methods for Thermal Analysis},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {51},
	number = {7-8},
	year = {2005},
	keywords = {Meshless Methods; Thermal Analysis; },
	abstract = {Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities. The meshless method is simple, accurate, and requires no polygonalisation. In this study, we focus on the application of meshless methods using radial basis functions (RBFs) – which are simple to implement – for thermal problems. Radial basis functions are the natural generalization of univariate polynomial splines to a multivariate setting that work for arbitrary geometry with high dimensions. RBF functions depend only on the distance from some center point. Using distance functions, RBFs can be easily implemented to model heat transfer in arbitrary dimension or symmetry.},
	issn = {0039-2480},	pages = {476-483},	doi = {},
	url = {https://www.sv-jme.eu/article/application-of-meshless-methods-for-thermal-analysis/}
}
Pepper, D.,Šarler, B.
2005 August 51. Application of Meshless Methods for Thermal Analysis. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 51:7-8
%A Pepper, Darrell W.
%A Šarler, Božidar 
%D 2005
%T Application of Meshless Methods for Thermal Analysis
%B 2005
%9 Meshless Methods; Thermal Analysis; 
%! Application of Meshless Methods for Thermal Analysis
%K Meshless Methods; Thermal Analysis; 
%X Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities. The meshless method is simple, accurate, and requires no polygonalisation. In this study, we focus on the application of meshless methods using radial basis functions (RBFs) – which are simple to implement – for thermal problems. Radial basis functions are the natural generalization of univariate polynomial splines to a multivariate setting that work for arbitrary geometry with high dimensions. RBF functions depend only on the distance from some center point. Using distance functions, RBFs can be easily implemented to model heat transfer in arbitrary dimension or symmetry.
%U https://www.sv-jme.eu/article/application-of-meshless-methods-for-thermal-analysis/
%0 Journal Article
%R 
%& 476
%P 8
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 51
%N 7-8
%@ 0039-2480
%8 2017-08-18
%7 2017-08-18
Pepper, Darrell, & Božidar  Šarler.
"Application of Meshless Methods for Thermal Analysis." Strojniški vestnik - Journal of Mechanical Engineering [Online], 51.7-8 (2005): 476-483. Web.  21 Feb. 2020
TY  - JOUR
AU  - Pepper, Darrell W.
AU  - Šarler, Božidar 
PY  - 2005
TI  - Application of Meshless Methods for Thermal Analysis
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - Meshless Methods; Thermal Analysis; 
N2  - Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities. The meshless method is simple, accurate, and requires no polygonalisation. In this study, we focus on the application of meshless methods using radial basis functions (RBFs) – which are simple to implement – for thermal problems. Radial basis functions are the natural generalization of univariate polynomial splines to a multivariate setting that work for arbitrary geometry with high dimensions. RBF functions depend only on the distance from some center point. Using distance functions, RBFs can be easily implemented to model heat transfer in arbitrary dimension or symmetry.
UR  - https://www.sv-jme.eu/article/application-of-meshless-methods-for-thermal-analysis/
@article{{}{.},
	author = {Pepper, D., Šarler, B.},
	title = {Application of Meshless Methods for Thermal Analysis},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {51},
	number = {7-8},
	year = {2005},
	doi = {},
	url = {https://www.sv-jme.eu/article/application-of-meshless-methods-for-thermal-analysis/}
}
TY  - JOUR
AU  - Pepper, Darrell W.
AU  - Šarler, Božidar 
PY  - 2017/08/18
TI  - Application of Meshless Methods for Thermal Analysis
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 51, No 7-8 (2005): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - Meshless Methods, Thermal Analysis, 
N2  - Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities. The meshless method is simple, accurate, and requires no polygonalisation. In this study, we focus on the application of meshless methods using radial basis functions (RBFs) – which are simple to implement – for thermal problems. Radial basis functions are the natural generalization of univariate polynomial splines to a multivariate setting that work for arbitrary geometry with high dimensions. RBF functions depend only on the distance from some center point. Using distance functions, RBFs can be easily implemented to model heat transfer in arbitrary dimension or symmetry.
UR  - https://www.sv-jme.eu/article/application-of-meshless-methods-for-thermal-analysis/
Pepper, Darrell, AND Šarler, Božidar.
"Application of Meshless Methods for Thermal Analysis" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 51 Number 7-8 (18 August 2017)

Authors

Affiliations

  • University of Nevada, Las Vegas, USA
  • Nova Gorica Polytechnic

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 51(2005)7-8, 476-483

Many numerical and analytical schemes exist for solving heat transfer problems. The meshless method is a particularly attractive method that is receiving attention in the engineering and scientific modeling communities. The meshless method is simple, accurate, and requires no polygonalisation. In this study, we focus on the application of meshless methods using radial basis functions (RBFs) – which are simple to implement – for thermal problems. Radial basis functions are the natural generalization of univariate polynomial splines to a multivariate setting that work for arbitrary geometry with high dimensions. RBF functions depend only on the distance from some center point. Using distance functions, RBFs can be easily implemented to model heat transfer in arbitrary dimension or symmetry.

Meshless Methods; Thermal Analysis;