[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2013.50.1.081

A CELL BOUNDARY ELEMENT METHOD FOR A FLUX CONTROL PROBLEM

Jeon, Youngmok (Department of Mathematics Ajou University)
Lee, Hyung-Chun (Department of Mathematics Ajou University)

Publication Information

Journal of the Korean Mathematical Society / v.50, no.1, 2013 , pp. 81-93 More about this Journal

Abstract

We consider a distributed optimal flux control problem: finding the potential of which gradient approximates the target vector field under an elliptic constraint. Introducing the Lagrange multiplier and a change of variables the Euler-Lagrange equation turns into a coupled equation of an elliptic equation and a reaction diffusion equation. The change of variables reduces iteration steps dramatically when the Gauss-Seidel iteration is considered as a solution method. For the elliptic equation solver we consider the Cell Boundary Element (CBE) method, which is the finite element type flux preserving methods.

Keywords

cell boundary element method; optimal control problem; Gauss-Seidel iteration;

Citations & Related Records

Reference

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