Sentence examples for model problems the from inspiring English sources

For each of the model problems, the microscale stresses are utilized to perform a direct micromechanical failure analysis.

Results are obtained for three analytically or semi-analytically solvable model problems, the first two being one-dimensional Stefan problems, the third a free droplet evaporation problem.

The stability and accuracy of the AMP algorithm is evaluated for linearized FSI model problems; the full nonlinear case being left for future consideration.

The methodology is detailed and tested on two model problems, the one-dimensional steady viscous Burgers equation and a two-dimensional nonlinear diffusion problem.

In our model problems the matrix K ‾ in (32) is invertible, and the first line of (31) yields u ∼ = K ‾ - 1 (f ‾ - B ‾ T λ ).

Consider as model problem the nonlinear diffusion convection equation ∂ u ∂ t = div ( σ ∇ u ) - v ̃ ⋅ ∇ u - α u + s, (1).

Although we only consider a model problem, the suggested method and technique are also applicable to many other problems, for example infinite-dimensional nonlinear dynamical system.

As regard the materials, we used a different SAD hosted on DokuWiki, which materialized a solution for a model problem: the Clemson Transit Assistance System (CTAS i.

The model problems for the interior point and boundary point have been studied, but the model problem for the interface point was studied only by Denisova [1] under some restriction on the viscosity coefficients.

Numerical results of model problems illustrating the efficiency of the proposed scheme are presented.

As model problems serve the hyper-singular and the weakly singular integral equation associated with the 2D Laplacian.