Boundary Conditions


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Boundary Conditions

The limitations to which a mathematical equation is subject under certain circumstances. Boundary conditions are important in solving problems dealing with real world issues.
References in periodicals archive ?
In the problem under study the points ([x.sub.1] =l, |[x.sub.2]| = [x.sup.0.sub.2]), lying on the boundary [x.sub.1] = l of the strip, are singular because of jumplike change in the boundary conditions. In the work [8] singularity of the solution for the region, that takes place in the problem under study, is noted and for such points a calculation method is not developed.
Effect of boundary conditions. The maximum natural frequencies observed with respect to boundary conditions belonged to the plates having clamped constraints on all sides.
First Boundary Condition. The first kind of boundary condition is called the Dirichlet boundary condition.
Figure 5(a) shows the size effect on the sensitivity of the [alpha]-graphyne-based resonator under the SSSS boundary condition for u = v = L/2.
Water Level of Vacuum Dewatering and Nonvacuum Dewatering in Constant Flow Boundary Condition. The constant flow boundary condition was that the flow at the boundary remains the same.
Cui, "Existence results for (fc, n - fc) conjugate boundary-value problems with integral boundary conditions at resonance with ker L = 2," Boundary Value Problems, vol.
The boundary condition on top of the box will be sea surface and the bottom of the box will be sea floor and satisfy ([partial derivative]C/[partial derivative]z)(x, y, H, t) = 0 and ([partial derivative]C/[partial derivative]z)(x, y, 0, t) = 0.
Caption: Figure 1: Comparison of analytical and interpolated left boundary conditions c(0, t) (kg/[m.sup.3]) ([increment of x] = 0.0500, [DELTA]t = 0.0100, Pe = 5.0).
Wang, "Existence and uniqueness of solutions for a fractional boundary value problem with Dirichlet boundary condition," Electronic Journal of Qualitative Theory of Differential Equations, No.
Non-local boundary conditions increase the computational costs and memory requirements of numerical algorithms and they are inefficient for long time modelling problems.
In this paper, we propose an FPGA accelerator for 3D FDTD computation that efficiently supports absorbing and periodic boundary conditions. This paper is an extension of our previous work [15] which introduces the basic FPGA accelerator architecture.
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