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Boundary integral equation analysis on the sphere
This work was supported in part by the Office of the Assistant Secretary of Defense for Research and Engineering and AFOSR under NSSEFF Program Award FA9550-10-1-0180 and by the Department of Energy under contract DEFGO288ER25053. This work was supported also by the Spanish Ministry of Science and Innovation (Ministerio de Ciencia e Innovacion) under ...
Felipe Vico +2 more
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On a time domain boundary integral equation formulation for acoustic scattering by rigid bodies in uniform mean flow. [PDF]
Hu FQ, Pizzo ME, Nark DM.
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Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions [PDF]
In this paper, we consider the boundary integral equation (BIE) method for solving the exterior Neumann boundary value problems of elastic and thermoelastic waves in three dimensions based on the Fredholm integral equations of the first kind.
G. Bao, Liwei Xu, Tao Yin
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This paper considers the stability of a fractional differential equation with multi-point boundary conditions and non-instantaneous integral impulse. Some sufficient conditions for the existence, uniqueness and at least one solution of the aforementioned
Guodong Li +3 more
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Perfectly Matched Layer Boundary Integral Equation Method for Wave Scattering in a Layered Medium [PDF]
For scattering problems of time-harmonic waves, the boundary integral equation (BIE) methods are highly competitive since they are formulated on lower-dimension boundaries or interfaces and can automatically satisfy outgoing radiation conditions.
Wangtao Lu, Y. Lu, J. Qian
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Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem [PDF]
This paper is concerned with boundary integral equation methods for solving the two-dimensional fluid-solid interaction problem. We reduce the problem to three differential systems of boundary integral equations via direct and indirect approaches ...
Tao Yin, G. Hsiao, Liwei Xu
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Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations [PDF]
We consider three problems for the Helmholtz equation in interior and exterior domains in $\mathbb{R}^d$ ($d=2,3$): the exterior Dirichlet-to-Neumann and Neumann-to-Dirichlet problems for outgoing solutions, and the interior impedance problem.
Dean Baskin, E. Spence, J. Wunsch
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On the Numerical Treatment of Heat Conduction Problem by Boundary Element and Multigrid Methods [PDF]
In this work we consider the boundary integral equation describing the steady state heat conduction taking place in three dimensional enclosure geometries.
Naji Qatanani, AbdelLatif Sa'adAldin
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On the basis of systems of identical equalities and integral boundary characteristics, a new algorithm of solving a boundary-value problem on the nonstationary heat conduction in a canonical body with boundary condition of the second kind has been ...
V. A. Kot
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A family multipoint - integral boundary value problems for a third order differential equation with variable coefficients is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova, A.E. Imanchiyev
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