# Dirichlet conditions

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## Dirichlet conditions

[‚dē·rē′klā kən‚dish·ənz]
(mathematics)
The requirement that a function be bounded, and have finitely many maxima, minima, and discontinuities on the closed interval [-π, π].
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References in periodicals archive ?
except for the first and last subdomains, where in the Neumann step the Neumann conditions are replaced by homogeneous Dirichlet conditions at the physical boundaries.
Schaefer, "Lower bounds for blow-up time in parabolic problems under Dirichlet conditions," Journal of Mathematical Analysis and Applications, vol.
He proposed that the homogeneous Dirichlet conditions may be satisfied exactly by representing the solution as the product of two functions: (1) an real-valued function that takes on zero values on the boundary points; and (2) an unknown function that allows to satisfy (exactly or approximately) the differential equation of the problem.
This field satisfies the Dirichlet conditions at all four sides.
where [GAMMA] symbolizes the boundary, and the Dirichlet conditions are considered at 20[degrees]C for natural convective air-cooling BEM formulation, Green's function as a solution of the Equation (2) through (7) as follows.
The inhomogeneous polyanalytic equation is studied by Begehr and Kumar [28] in D with Dirichlet conditions and the following result is obtained.
The system (11) is accompanied with the following time-independent Dirichlet conditions
1], these functional conditions include as a particular case, the Dirichlet conditions
In this case, the profile record builds sets of (x, y) points for each numerical method, where the x values are grid points, and the y values are relative elapsed time changes for mixed boundary conditions with respect to Dirichlet conditions, changes in elapsed time for Neumann conditions with respect to Dirichlet conditions, and relative changes in error for derivative conditions with respect to Dirichlet conditions.
The Robin condition is consistent with the analysis in [11] where it is shown that Dirichlet conditions on inflow are preferred as v approaches 0.

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