Approximate computation of the permeability tensor of a periodic porous medium
C. Carasso, Gelu I. Paşa · Numerical Functional Analysis and Optimization · 1999
The permeability tensor K of an infinite periodic porous medium, obtained using the homogenization theory, is considered. The solutions of an optimal control problem for the Dirichlet or Neumann equation are used to obtain optimal upper bounds for K. The test functions used for the estimations are simpler than those obtained by other authors. Some possibilities are given to obtain also lower bounds.