Finite Element Analysis of Thermally Coupled Nonlinear Darcy Flows

摘要

We consider a coupled system describing nonlinear Darcy flows With temperature dependent viscosity and with viscous heating. We first establish existence, uniqueness, and regularity of the weak solution of the system of equations. Next, we decouple the coupled system by a fixed point algorithm and propose its finite element approximation. Finally, we present convergence analysis with an error estimate between continuous Solution and its iterative finite element approximation.