A hybrid flux model for heat conduction problems

A hybrid method of solution for the linear problem of heat conduction in a body is presented. The varia- tional support is a two- eld functional whose arguments are heat ux, which meets a priori inner thermal equilibrium, and temperature on the boundary of the body. The stationary conditions of the functional are the Fourierʹs law and the prescribed boundary conditions. This variational framework allows to develop a nite element model that exhibits good accuracy, especially in the presence of geometry irregularities in a mesh.