Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method

Details Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method

2008-03-13

arxiv.org/abs/0803.1903v1

Mathematics

Numerical Analysis

12 pages, 5 figures

Scientific paper

The purpose of this study is to show some mathematical aspects of the adjoint method that is a numerical method for the Cauchy problem, an inverse boundary value problem. The adjoint method is an iterative method based on the variational formulation, and the steepest descent method minimizes an objective functional derived from our original problem. The conventional adjoint method is time-consuming in numerical computations because of the Armijo criterion, which is used to numerically determine the step size of the steepest descent method. It is important to find explicit conditions for the convergence and the optimal step size. Some theoretical results about the convergence for the numerical method are obtained. Through numerical experiments, it is concluded that our theories are effective.

Affiliated with

Also associated with

No associations

Rating

Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mathematical Aspects and Numerical Computations of an Inverse Boundary Value Identification Using the Adjoint Method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-69644