Sentence examples for between the adjoint solution from inspiring English sources

The adjoint equations are validated by means of a comparison between the adjoint solution and a finite difference expression.

In the adjoint variable method, an adjoint load is obtained from the acoustic boundary element re-analysis, while the adjoint solution is calculated from the structural dynamic re-analysis.

A key step in gradient-based aerodynamic shape optimisation using the Reynolds-averaged Navier Stokes equations is to compute the adjoint solution.

In order to know the adjoint solution at time, Eq. (17) requires that the forward solution is known for all times.

The same sensitivity can be obtained via the adjoint solution, ψ ≡ F'* p ll.

These expressions above prescribe the components of the adjoint solution, thus enabling efficient gradient calculation via (4).

Adaptive criteria are derived using an adjoint-based error correction technique that relates the local residual errors of both the primal and adjoint solutions to the global error in the prescribed functional.

This procedure is performed using a sequence of progressively finer grids for the solution of the flow field, while only using coarser grids for the adjoint equation solution.

For non-variational methods, a scheme-agnostic temporal reconstruction of the primal and adjoint solutions replaces the functional representation in between time nodes.

In each such estimate, the adjoint problem solution serves as the influence function that shows the quantitative contribution of every source into the pollution of the corresponding zone.

Assuming ω∈C1,1, we express the shape derivative of J as a curvilinear integral on ∂ω (independently of any adjoint solution) leading to a descent algorithm.