Sentence examples for formulate a boundary from inspiring English sources

In this paper we formulate a boundary value problem for the microstructural evolution during a diffusional transformation in a binary alloy.

This chapter is to (1) formulate a boundary value problem as a mathematic model to represent the physical behaviors of elements and (2) introduce the techniques to solve mathematic models for discretized elements.

Using the set-up that is standard in Auto[55, 56], we formulate a boundary value problem using scaled equations such that the total integration time for both segments is 1.

This implies that it is possible to formulate a boundary condition for the standard PPE without the necessity to resort to Green's functions, which is interesting for theoretical reasons.

Assuming that the deformation obeys the Saint-Venant hypotheses, we develop a model suitable for prediction of the complex stiffness per unit length in closed, thin-walled tubes whose walls consist of laminated elastic and viscoelastic layers, and formulate a boundary-value problem for the warping deformations arising under Saint-Venant torsion.

A variational method is used to formulate a nonlinear boundary value problem for the shell and foundation displacements and an iterative solution procedure based on the Ritz method is presented.

In connection to this behavior, we propose the following open problem: Is it possible to formulate a sequential (CFR) boundary value problem whose Green's function is so nice as to prove a Lyapunov type inequality?

Motivated by this challenge, we formulated a free boundary finite element algorithm, capable of solving cell population balance equations more efficiently than the traditional fixed-boundary algorithms.

These physically reasonable assumptions helped us to formulate a simple coupled initial boundary value problem.

The noise prediction obtained with the revised Eldred-based model has then been used for formulating an empirical/BEM (Boundary Element Method) hybrid approach that allows an evaluation of the scattering effects.

The visibility problem is formally formulated as a boundary value problem (BVP) of a first order partial differential equation.