An Analysis of Double Laplace Equations on a Concave Domain - World Journal of Engineering and Technology

WJET > Vol.6 No.2, May 2018

World Journal of Engineering and Technology

Volume 6, Issue 2 (May 2018)

ISSN Print: 2331-4222 ISSN Online: 2331-4249

Google-based Impact Factor: 0.80 Citations

An Analysis of Double Laplace Equations on a Concave Domain ()

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DOI: 10.4236/wjet.2018.62019 581 Downloads 1,460 Views Citations

Author(s)

Hai-Ping Hu

Affiliation(s)

Department of Marine Engineering, National Taiwan Ocean University.

ABSTRACT

In the investigation, the complex geometric domain is a concave geometrical pattern. Due to the symmetric character, the left side of the geometric pattern, i.e. the L-shaped region is calculated in the study. The governing equation is expressed with Laplace equations. And the analysis is solved by eigenfunction expansion and point-match method. Besides, visual C⁺⁺ helps obtain the results of numerical calculation. The local values and the mean values of the function are also discussed in this study.

KEYWORDS

Double Laplace Equation, Point-Match

Share and Cite:

Hu, H. (2018) An Analysis of Double Laplace Equations on a Concave Domain. World Journal of Engineering and Technology, 6, 304-314. doi: 10.4236/wjet.2018.62019.

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