Published

2011-09-01

COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS

Keywords:

Essential Boundary Condition Enforcement, Penalty Method, Lagrange Multiplier Method (es)

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Authors

  • Juan Fernando Ramirez-Salazar Student Universidad Nacional de Colombia, Sede Medellín
  • Elizabeth Mesa-Munera Student Universidad Nacional de Colombia, Sede Medellín
  • John Willian Branch Bedoya Profesor University of Alberta, Canada
  • Pierre Boulanger Profesor Department University of Alberta, Canada
A simulation of a cantilever beam was carried out with the aim of compared the performance of two Meshfree methods, Element Free Galerkin Method and Radial Point Interpolation Method, using two different methods to impose the Essential Boundary Conditions. The results were validated with the analytical solution of the problem, obtained by Timoshenko in [Tim70]. It was possible to conclude that both methods show a good performance for the solution of the simulated problem. However, some consideration must be taken into account when these are applied to other types of approximation that cannot easily satisfy essential boundary conditions.

How to Cite

APA

Ramirez-Salazar, J. F., Mesa-Munera, E., Branch Bedoya, J. W. and Boulanger, P. (2011). COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS. Avances en Sistemas e Informática, 8(3), 51–56. https://revistas.unal.edu.co/index.php/avances/article/view/20409

ACM

[1]
Ramirez-Salazar, J.F., Mesa-Munera, E., Branch Bedoya, J.W. and Boulanger, P. 2011. COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS. Avances en Sistemas e Informática. 8, 3 (Sep. 2011), 51–56.

ACS

(1)
Ramirez-Salazar, J. F.; Mesa-Munera, E.; Branch Bedoya, J. W.; Boulanger, P. COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS. ava. sis. inf 2011, 8, 51-56.

ABNT

RAMIREZ-SALAZAR, J. F.; MESA-MUNERA, E.; BRANCH BEDOYA, J. W.; BOULANGER, P. COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS. Avances en Sistemas e Informática, [S. l.], v. 8, n. 3, p. 51–56, 2011. Disponível em: https://revistas.unal.edu.co/index.php/avances/article/view/20409. Acesso em: 10 aug. 2024.

Chicago

Ramirez-Salazar, Juan Fernando, Elizabeth Mesa-Munera, John Willian Branch Bedoya, and Pierre Boulanger. 2011. “COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS”. Avances En Sistemas E Informática 8 (3):51-56. https://revistas.unal.edu.co/index.php/avances/article/view/20409.

Harvard

Ramirez-Salazar, J. F., Mesa-Munera, E., Branch Bedoya, J. W. and Boulanger, P. (2011) “COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS”, Avances en Sistemas e Informática, 8(3), pp. 51–56. Available at: https://revistas.unal.edu.co/index.php/avances/article/view/20409 (Accessed: 10 August 2024).

IEEE

[1]
J. F. Ramirez-Salazar, E. Mesa-Munera, J. W. Branch Bedoya, and P. Boulanger, “COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS”, ava. sis. inf, vol. 8, no. 3, pp. 51–56, Sep. 2011.

MLA

Ramirez-Salazar, J. F., E. Mesa-Munera, J. W. Branch Bedoya, and P. Boulanger. “COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS”. Avances en Sistemas e Informática, vol. 8, no. 3, Sept. 2011, pp. 51-56, https://revistas.unal.edu.co/index.php/avances/article/view/20409.

Turabian

Ramirez-Salazar, Juan Fernando, Elizabeth Mesa-Munera, John Willian Branch Bedoya, and Pierre Boulanger. “COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS”. Avances en Sistemas e Informática 8, no. 3 (September 1, 2011): 51–56. Accessed August 10, 2024. https://revistas.unal.edu.co/index.php/avances/article/view/20409.

Vancouver

1.
Ramirez-Salazar JF, Mesa-Munera E, Branch Bedoya JW, Boulanger P. COMPARISON BETWEEN LAGRANGE MULTIPLIER AND PENALTY METHODS TO ENFORCE ESSENTIAL BOUNDARY CONDITIONS IN MESHFREE METHODS. ava. sis. inf [Internet]. 2011 Sep. 1 [cited 2024 Aug. 10];8(3):51-6. Available from: https://revistas.unal.edu.co/index.php/avances/article/view/20409

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