화학공학소재연구정보센터
Transport in Porous Media, Vol.28, No.1, 51-67, 1997
Mathematical treatment of point sources in a flow through porous media governed by Darcy's law
We consider stationary air flow in a porous medium caused by extraction wells and governed by Darcy's law. Point sinks are described by Dirac functions. We distinguish two different situations: locally continuous and discontinuous conductivity near the wells. In both cases, well-posedness is proved. We propose a finite-element scheme in the general case and show the convergence of the approximated solution to the exact one.