Sentence examples for a weak formulation from inspiring English sources

A weak formulation is developed, the existence, uniqueness and regularity of the solutions are studied.

A "weak" formulation of the pseudo-excitation (PE) approach was recently proposed for structural damage detection in thin-walled structures.

The commitment to a weak formulation of force and momentum allows appropriate solution discontinuities to develop naturally at element boundaries.

A weak formulation of (1.1a - 1.1c) is as follows: Find ((sigma,mathbf{u}, p):[0,T]rightarrow (S, X, Q)) for a.e.

(1.9) We remark that the family of integral identities (1.5) is taken from [12], which is a weak formulation of the renormalized equation of continuity introduced by [15].

Our results are obtained by considering a weak formulation of the problem with an appropriate test function and several appropriate estimations.

The only stipulation is that the resulting contribution be "substantial"—a weaker formulation than the original German wish for a contribution that is "'substantial, quantifiable, reliable and voluntary".

A suitable weak formulation reduces to a geometrical problem the analytic problem of finding a solution or, often what is more important, showing that a solution exists and is unique for given boundary data.

We construct a suitable weak formulation, study its well-posedness, and design a Galerkin spectral method for its numerical solution.

To derive the beam model, we use the so-called dimensional reduction approach: from a suitable weak formulation of the 2D linear elastic problem, we introduce a variable cross-section approximation and perform a cross-section integration.

A weakened weak formulation based on the edges of triangular cells obtained by a Delaunay triangulation is considered here, framing the so-called edge-based smoothed domains.