Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions
The paper suggests a procedure of direct construction of minimal extension of constrained optimization problem for a three dimensional heat equation containing controls in coefficients. This approach has also been initiated for a two dimensional case.
Lurie, K., & Lipton, R. (1992). Direct solution of an optimal layout problem for isotropic heat conductors in three dimensions., 1-11. Retrieved from https://repository.lsu.edu/mathematics_pubs/804