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].
References in periodicals archive ?
This field satisfies the Dirichlet conditions at all four sides.
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
A vast literature exists on Landesman-Lazer type conditions for resonant problems in the continuous case, starting at the pioneering work [9] for a second order elliptic (scalar) differential equation under Dirichlet conditions.
Here we have taken zero Dirichlet conditions for illustrative purposes.
1], these functional conditions include as a particular case, the 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.
Numerical comparison of strong and weak Dirichlet conditions.
In this paper, we shall analyze the DGFEM applied to nonstationary convection-diffusion problems with nonlinear convection as well as diffusion and Dirichlet conditions on non-conforming meshes.
The corresponding analysis makes use of the first Korn inequality, and hence only null Dirichlet conditions, either on the whole boundary or on part of it, are considered.
On the physical boundaries, we impose Dirichlet conditions according to the original equations (2.