A comparison of adaptive refinement techniques for elliptic problems
ACM Transactions on Mathematical Software (TOMS)
A convergent adaptive algorithm for Poisson's equation
SIAM Journal on Numerical Analysis
Preconditioning in H(div) and applications
Mathematics of Computation
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition
SIAM Journal on Numerical Analysis
Convergence of Adaptive Finite Element Methods
SIAM Review
Tetrahedral Mesh Generation for Environmental Problems over Complex Terrains
ICCS '02 Proceedings of the International Conference on Computational Science-Part I
Advances in Engineering Software - Special issue on evolutionary optimization of engineering problems
Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
SIAM Journal on Numerical Analysis
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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.