Problem of optimal placement of discrete physical field sources Original Research Article

Applied Numerical Mathematics Volume 50, Issue 1, July 2004, Pages 121–131 Cover image Problem of optimal placement of discrete physical field sources Svetlana Yaremchuk E-mail the corresponding author, Vyacheslav KryzhanivskyyCorresponding author contact information, 1, E-mail the corresponding author Department of Computer Science, Zhitomir State Technological University, 10005 Zhytomyr, Ukraine http://dx.doi.org/10.1016/j.apnum.2003.10.008, How to Cite or Link Using DOI Permissions & Reprints View full text Purchase $31.50 Abstract The investigation is devoted to optimal placement of discrete sources of stationary physical field. The state of investigated system is described by the boundary value problem. The main result is the differentiability of boundary value problem solution with respect to placement parameters. The geometrical constraints on source placement is formalized by means of penalization technique. The solution method is constructed on the base of gradient method. Numerical solution of test example are given.