Sentence examples for methods the boundary from inspiring English sources

In order to enable fast explicit time stepping methods, the boundary conditions are imposed weakly using a numerically stable upwind discretization.

Different from traditional methods, the boundary detection problem in this paper was formulated as an optimization process that sought the boundary points to minimize a cost function.

Also for iterative approaches, such as finite element [12, 13] or multigrid [27] methods the boundary conditions must be specified and are often chosen to either be periodic, or of the Neumann type, or even both [27].

By using optimization methods and geometric methods, the boundaries of the studied angular errors are determined with reduced computation complexity.

In the proposed method the boundary conditions of the panel are specified such that the panel can be considered in isolation from the rest of the structure.

The theoretical basis for the numerical method, the boundary conditions and the moving grid extension are first discussed.

Based on Lyapunov theory and backstepping method, the boundary control is developed by introducing a smooth hyperbolic tangent function, an auxiliary system and a Nussbaum function.

Using this method, the boundary conditions can be continuously modified, ranging from anechoic to fully reflecting in a broad frequency range.

A new numerical method, the boundary point method, used for calculating the acoustic radiation problem caused by a vibrating body is presented.

In the crisp clustering method, the boundary between clusters is fully defined.

Second, this paper reviews existing theoretical prediction models of noise emanating from bridges: the semianalytical method, the Rayleigh integral method, the boundary element method, and statistical energy analysis.