Sentence examples for continuum solution from inspiring English sources

Checking against full atom molecular mechanics calculations show that the continuum solution has high accuracy.

Checking against full atom molecular dynamics calculations and available experimental results shows that the continuum solution has high accuracy.

It is significant to develop an expression for the rarefaction correction to the continuum solution for heat transfer.

The Ritz method, with a continuum solution and an iterative procedure, are used for determining the frequencies and non-linear modes of vibrations.

We introduce a global-local model coupling approach to enrich laminate composite thin-shell Kirchhoff-Love models locally with a full three-dimensional continuum solution.

When the Dirichlet boundary conditions are discontinuous, the solution of this system of equations is an oscillatory approximation of the discontinuous continuum solution.

Continuum solutions using solid finite elements are taken as a reference for comparison purposes.

The present model is in excellent agreements with analytical 2-D continuum solutions and finite element analyses.

Good agreement on structural eigenfrequencies between the effective continuum solutions and the exact solutions shows that the proposed continuum model can accurately simulate the dynamic behavior of the cellular solids.

To demonstrate that our code can retrieve continuum solutions, we perform a test-suite of classic hydrodynamic shock problems consisting of the Sod, the Noh, and the Sedov tests.

As an example, the equation x ′ = f ( x ) = x ⋅ χ ( 0, + ∞ ) ( x ) has an infinity of solutions (a continuum of solutions [8], p.15]) x T ( t ) = ( t − T ) 2 4 ⋅ χ ( T, + ∞ ) ( t ) defined on the nonnegative half-line which start from x ( 0 ) = 0. Here, by χ we denote the characteristic function of a Lebesgue-measurable set.