TY - JOUR
ID - 24423
TI - A shape-measure method for solving free-boundary elliptic systems with boundary control function
JO - Iranian Journal of Numerical Analysis and Optimization
JA - IJNAO
LA - en
SN - 2423-6977
AU - Fakharzadeh Jahromi, A.
AD - Department of Mathematics, Shiraz University of Technology, P.O.Box:7155-313, Shiraz,
Iran.
Y1 - 2013
PY - 2013
VL - 3
IS - 2
SP - 47
EP - 65
KW - Elliptic controlled system
KW - Weak solution
KW - Atomic measure
KW - Linear programming
KW - Free boundary problem
DO - 10.22067/ijnao.v3i2.24082
N2 - This article deals with a computational algorithmic approach for obtaining the optimal solution of a general free boundary problem governed by an elliptic equation with boundary control and functional criterion. After determining the weak solution of the system, the problem is converted into a variational format. Then, by using some aspects of measure theory, the method characterize the nearly optimal pair of domain and its related optimal control function at the same time. This method has many advantages such as strong linearity, automatic existence theorem and the ability of obtaining global solution. Two sets of numerical examples is also given.
UR - https://ijnao.um.ac.ir/article_24423.html
L1 - https://ijnao.um.ac.ir/article_24423_91d914b866ef464ca86717043443287a.pdf
ER -