Hassan Ghassemi and Alireza Ahani. Solving the Quantity Element Using New Numerical Techniques on the Discontinues Boundary Element Method.
. 2017; 5(1):14-21. doi: 10.12691/AJAMS-5-1-4
boundary element method, linear element, discontinuous element
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[1] | Ingham, D.B, Ritchie, J.A, Taylor, C.M, “The linear boundary element solution of Laplace's equation with Dirichlet boundary conditions,” Mathematical and Computer Modelling, 15(5), 195-204, 1991. |
|
[2] | Tadeu, A, António, J, “Use of constant, linear and quadratic boundary elements in 3D wave diffraction analysis,” Engineering Analysis with Boundary Elements, 24(2), 131-144, 2000. |
|
[3] | Ali, A, Rajakumar, C, The Boundary Element Method: Applications in Sound and Vibration, A.A. Balkema Publishers, 2004. |
|
[4] | Grecu, L, “A solution of the boundary integral equation of the three-dimensional airfoil in subsonic flow using linear boundary elements,” ROMAI, 1(2), 101-107, 2005. |
|
[5] | Grecu, L, Vladimirescu, I, “BEM with Linear Boundary Elements for Solving the Problem of the 3D Compressible Fluid Flow around Obstacles,” in Proceedings of the International Multi Conference of Engineers and Computer Scientists (IMECS), Hong Kong, 2009. |
|
[6] | Chen, L, Chen, H, Zheng, C, Marburg, S, “Structural–acoustic sensitivity analysis of radiated sound power using a finite element/ discontinuous fast multipole boundary element scheme,” International Journal for Numerical Methods in Fluids, 82(12), 858-878, 2016. |
|
[7] | Katsikadelis, J, Boundary elements: Theory and Application, Athens: ELSEVIER, 2002. |
|
[8] | Pozrikidis, C, A practical guide to boundary element methods with the software library BEMLIB, Florida: CRC Press, 2002. |
|
[9] | Ghassemi, H, Panahi, S, Kohansal, A. R, “Solving the Laplace’s Equation by the FDM and BEM, Using Mixed Boundary Conditions,” American Journal of Applied Mathematics and Statistics, 4(2), 37-42, 2016. |
|
[10] | Bergman, S, Schiffer, M, Kernel functions and elliptic differential equations in mathematical physics, New York: Academic Press Inc. Publishers, 1953. |
|
[11] | Zakerdoost, H, Ghassemi, H, “Dual Reciprocity Boundary Element Method for Steady State Convection-Diffusion-Radiation problems,” International Journal of Partial Differential Equations and Applications, 2(4), 68-71, 2014. |
|
[12] | Ghassemi, H, Fazelifar, S, Nadery, A, “DRBEM Applied to the 3D Helmholtz Equation and Its Particular Solutions with Various Radial Basis Functions,” International Journal of Partial Differential Equations and Applications, 4(1), 1-6, 2016. |
|
[13] | Zakerdoost, H, Ghassemi, H, Iranmanesh, M, “Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method,” Advances in Applied Mathematics and Mechanics, 9(3), 680-697, 2017. |
|
[14] | Chen, G, Zhou, J, Boundary element methods with applications to nonlinear problems, 2nd ed., Springer Science & Business Media, 2010. |
|
[15] | Sauter, S.A, Schwab, C, Boundary element methods, Berlin, Springer-Verlag Berlin Heidelberg, 2011. |
|