An adaptive mixed finite element method for wind field adjustment

In this paper we present an adaptive strategy to obtain an incompressible wind field that adjusts to an experimental one, and verify boundary conditions of physical interest. We use an Augmented Lagrangian formulation for solving this problem. Our method is based on an Uzawa iteration to update the Lagrange multiplier and on an elliptic adaptive inner iteration for velocity. Several examples show that the proposed method is efficient and reliable.