Sentence examples for boundary problem in a from inspiring English sources
Finally, let us delve into other algorithms of the literature which deal with the boundary problem in a different sense from the typical BCs.
Extensive tests in 1D are carried out, and 2D examples suggest that the present scheme is able to handle multi-fluid and complex (static or moving) boundary problems in a straightforward way with good robustness and accuracy.
For maximally dissipative boundary conditions on Ω:="Rn∖K¯ with bounded open domain K the solution of the boundary problem in R+×Ω is described by a contraction semigroup V t)="etGb, t≥0.
In the case of a prescribed applied pressure function, we obtain a free boundary problem, in which the piston height has to be determined simultaneously with the solids concentration.
The interpolation-free models are then applied to the case of moving boundary problems in which a square block and a cylindrical block, respectively, move with a constant speed along a channel containing stationary flows.
In particular, we compute the ζ-determinant ratio for Dirac Laplacian boundary problems in terms of a scattering Fredholm determinant over the boundary.
For the solution of nonlocal boundary problem (1) in a Hilbert space H with a self-adjoint positive definite operator A, Theorem 2.1 is established.
The paper aims at showing properties and difficulties inherent to moving boundary problems in kinetic theory of gases using a simple one-dimensional setting.
These manipulations reduce the nonlinear initial-boundary problem in time and space to a set of ordinary differential equations in time with given initial conditions.
This paper presents an implementation of an immersed boundary (IB) method for dynamical boundary flowing problem in a flow solver based on the fractional time step method and the finite different method, which is validated by a basic numerical example.
The variational inflation mechanics problem yields the governing equations and boundary conditions, which are recast as a nonlinear two-point boundary value problem in a suitable form for efficient computation.
