Sentence examples for using the penalty method from inspiring English sources

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.

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

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.

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.

Design constraints are folded into the objective function using the penalty function method.

In this paper the possible spurious wave reflection at the impact interface is investigated, where the impact interface is modelled by using the penalty function method.