scholarly journals Multiscale boundary element method for Poisson’s equation

2017 ◽  
Vol 13 (2) ◽  
Author(s):  
Nor Afifah Hanim Zulkefli ◽  
Su Hoe Yeak ◽  
Munira Ismail
Keyword(s):  
Boundary Element Method ◽  
Numerical Solution ◽  
Boundary Element ◽  
Poisson Equation ◽  
Poisson’S Equation ◽  
Poisson's Equation ◽  
Numerical Example ◽  
The Poisson Equation ◽  
Method Show ◽  
Element Method

This paper applied the multiscale boundary element method for the numerical solution of the Poisson equation. The multiscale technique coupling with boundary element method will be used to solve the problem of Poisson equation efficiently and faster. Numerical example is given to illustrate the efficiency of the propose method. The solution of proposed method will be compared with boundary element method and the former method show less iteration in computation.

scholarly journals Thermoelasticity if isotropic solids containing non-deformable thread-like inclusions

2019 ◽  
pp. 33-41
Author(s):  
Jaroslav Pasternak ◽  
Heorhiy Sulym ◽  
Nataliia Ilchuk
Keyword(s):  
Heat Conduction ◽  
Boundary Element Method ◽  
Numerical Solution ◽  
Boundary Element ◽  
Integral Equations ◽  
Numerical Example ◽  
Thermally Conducting ◽  
Isotropic Solids ◽  
Element Method

The paper derives integral equations of heat conduction and thermoelasticity of isotropic solids with non-deformable perfectly thermally conducting thread-like inclusions. It is observed that, in spite of the order of singularity, the integral equations obtained are hypersingular due to the symmetry of the kernels. Non-integral terms of these equations are derived. A boundary element method scheme for numerical solution of formulated problems is proposed. A numerical example is provided.

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