A simple and efficient wavelet approach for evaluating surface integral over curved domain

Authors

  • K. T. Shivaram

  • S. Kiran

How to Cite

T. Shivaram, K., & Kiran, S. (2018). A simple and efficient wavelet approach for evaluating surface integral over curved domain. International Journal of Engineering and Technology, 7(4.5), 511-513. https://doi.org/10.14419/ijet.v7i4.5.21145

Received date: October 7, 2018

Accepted date: October 7, 2018

Published date: September 22, 2018

DOI:

https://doi.org/10.14419/ijet.v7i4.5.21145

Keywords:

Numerical Integration, Hear Wavelet Method, Curved Domain

Abstract

This paper presents, a simple and efficient wavelet approach for computing the surface integrals over irregular or curved dom ain, the limit of the integrals are nonlinear function are transformed to standard two square by using finite element basis function, Haar wavelet based integration technique is applied to evaluation of surface integral over curved domain, the computational efficiency of the method is illustrated with several numerical examples.

 

References

  1. [1] D. A. Dunavant (1985), High degree efficient symmetrical Gaussian Quadrature rules for triangle, Int. J. Numer. Methods, Eng. 21, 1129–1148.

    [2] G. Lague and R. Baldur (1977) Extended numerical integration method for triangular surfaces, Int. J. Numer. Methods Eng. 11, 388– 392.

    [3] Md. S. Islam, M. Alamgir Hossain (2009), Numerical integrations over an arbitrary quadrilateral region, Appl. Math. Comput. 210, 515-524.

    [4] K.T. Shivaram (2013), Gauss Legendre quadrature over a parabolic region, Int. J. Eng. Res. & Tech, 10,927-931.

    [5] K.T. Shivaram ( 2014), Numerical integration over an arbitrary rectangle and square region using Generalized Gaussian quadrature rules, International Journal of Mathematical Archive, 5, 1-5.

    [6] K.T. Shivaram(2013), Gauss Legendre Quadrature over a unit circle International Journal of Engineering Research & Technology, 2, 1043-1047.

    [7] C.-J. Li, R.-H. Wang (2006), a new 8-node quadrilateral cubic spline finite element, J. Comput. Appl. Math.195, 54 – 65.

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How to Cite

T. Shivaram, K., & Kiran, S. (2018). A simple and efficient wavelet approach for evaluating surface integral over curved domain. International Journal of Engineering and Technology, 7(4.5), 511-513. https://doi.org/10.14419/ijet.v7i4.5.21145

Received date: October 7, 2018

Accepted date: October 7, 2018

Published date: September 22, 2018