Sentence examples for use the penalty method from inspiring English sources

For instance, we can use the penalty method for the minimization problem.

The authors use the penalty method to construct a sequence of approximation parabolic problem and hence obtain the existence and uniqueness of solution to the approximation problem by using fixed point theory.

The proposed method estimates the optimal result of α by using the penalty method [27].

And we will consider R d 1 -valued parabolic variational inequality (1) using the penalty method.

The boundary conditions are taken into account using the penalty method.

The contact behavior of frictional fractures is modeled using the penalty method within the framework of plasticity theory of friction.

Second, the existence of the solutions in the weak sense are proved by using the penalty method and the reduction method.

Second, the existence and uniqueness of the solutions in the weak sense are proved by using the penalty method and the reduction method.

The contact between the steel wire and the outer casing is modelled using the penalty method with the friction in a tangential direction.

The action is minimized using the BFGS quasi-Newton method and the constraints are imposed using the penalty method with a barrier function.

Aujol and Chambolle: Aujol and Chambolle in 2005 [3] adapted the work by Meyer for discrete two-part decomposition (see (5.49) in [3]), and they used the penalty method for the constraint.