Numerical Methods for Mixed Finite Element Problems

The book "Numerical Methods for Mixed Finite Element Problems" offers a comprehensive analysis of iterative solution methods and preconditioning for mixed finite element methods. It is aimed at students and researchers in the field of numerical methods and scientific computing. The content begins with a refresher on the fundamental theory of mixed finite element methods and then discusses the augmented Lagrange method. Additionally, common iterative procedures used for mixed methods are presented, with preconditions derived from an approximate factorization of the mixed system. The book also covers applications in incompressible elasticity and flow problems, including nonlinear models, as well as the mixed formulation for Dirichlet boundary conditions and contact problems between incompressible bodies.