scholarly journals Space-time domain solutions of the wave equation by a non-singular boundary integral method and Fourier transform

2017 ◽  
Vol 142 (2) ◽  
pp. 697-707 ◽  
Author(s):  
Evert Klaseboer ◽  
Shahrokh Sepehrirahnama ◽  
Derek Y. C. Chan
Keyword(s):  
Fourier Transform ◽  
Wave Equation ◽  
Time Domain ◽  
Integral Method ◽  
Space Time ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Singular Boundary

Virtual Boundary Integral Method for Anisotropic Potential Problems

2012 ◽  
Vol 155-156 ◽  
pp. 370-374
Author(s):  
Xin Rong Jiang ◽  
Xin Fu
Keyword(s):  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Singular Boundary ◽  
Boundary Integrals ◽  
Science And Engineering ◽  
Numerical Examples ◽  
Potential Problems ◽  
Virtual Boundary ◽  
Virtual Boundary Element

Heat conduction in anisotropic materials has important applications in science and engineering. In this paper the virtual boundary element method (VBEM) is applied to solve these problems. Due to the fact of a virtual boundary outside the real boundary, the VBEM does not need to treat the singular boundary integrals, and thus, is more accurate and convenient than the traditional one. Numerical examples are presented, to demonstrate the efficiency and accuracy of this method.

scholarly journals Non-singular boundary integral methods for fluid mechanics applications

2012 ◽  
Vol 696 ◽  
pp. 468-478 ◽  
Author(s):  
Evert Klaseboer ◽  
Qiang Sun ◽  
Derek Y. C. Chan
Keyword(s):  
Stokes Flow ◽  
Integral Method ◽  
Practical Interest ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Singular Boundary ◽  
Boundary Integral Methods ◽  
Integral Methods ◽  
Weakly Singular ◽  
Principal Value

AbstractA formulation of the boundary integral method for solving partial differential equations has been developed whereby the usual weakly singular integral and the Cauchy principal value integral can be removed analytically. The broad applicability of the approach is illustrated with a number of problems of practical interest to fluid and continuum mechanics including the solution of the Laplace equation for potential flow, the Helmholtz equation as well as the equations for Stokes flow and linear elasticity.

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