Sentence examples for shape derivatives from inspiring English sources

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.

An explicit filtering technique is applied to the shape derivatives in order to extract noise from the mesh-based representation of high-resolution.

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.

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

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

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