Sentence examples for shape derivative from inspiring English sources

The normal velocity of the level-set model, which reflects the sensitivity of the objective function, is derived from the adjoint variable method and shape derivative.

The shape derivative is computed by an adjoint method.

The shape optimization is obtained by combining shape derivative with level set method.

This framework is based on the theories of topological derivative and shape derivative for elliptic system.

We use the adjoint method to calculate the shape derivative of this functional.

In addition since the computed shape derivative is defined only on the boundary of the obstacle, we extend the shape derivative to the whole domain by a linear transport equation.

The shape derivatives are derived by using a Lagrangian function and the adjoint method.

New definitions for Shape derivatives are given.

The mode shape derivatives of the damped systems can be obtained by solving the algebraic equation.

Shape derivatives and topological derivatives have been incorporated into level set methods to investigate shape optimization problems.

The shape derivatives were combined with topological derivatives by Allaire and Jouve (2008), to propose a level set-based optimization method capable for automatic hole insertion.