Calculation of Quantity Rate on the Rectangular Domain by Boundary Element Method

Milad Bamdadinejad¹, Hassan Ghassemi^1, and Mohammad Javad Ketabdari¹

¹Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Iran

Cite this paper:
Milad Bamdadinejad, Hassan Ghassemi and Mohammad Javad Ketabdari. Calculation of Quantity Rate on the Rectangular Domain by Boundary Element Method. Applied Mathematics and Physics. 2017; 5(2):40-46. doi: 10.12691/amp-5-2-2

Abstract

The purpose of the paper is to achieve relative error changes of influence coefficients based on the number of Gaussian points and relative error changes of u_x and u_y according to x and y using boundary element method (BEM) and constant elements. In this case, the dominant equation is Laplace’s equation defined for a rectangular domain with the Dirichlet boundary condition. The boundaries of the domain will first be discretization with four constant element and four boundary conditions will be introduce in MATLAB and then four Neumann boundary conditions will be gain. Afterwards, four influence coefficients have been obtained regarding the source point within the domain and first element analytical and numerical and their relative error has been computed. Finally, u_x and u_y values in four points toward x and three points toward y within the domain have been computed analytical and numerical and the results have been Presented in schemes and tables.

Keywords:
boundary element method laplace equation constant element influence coefficients relative error

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