Theory and practice of finite elements / Alexandre Ern, Jean-Luc Guermond

Includes bibliographical references and index

Part I. Theoretical foundations -- 1. Finite element interpolation -- 2. Approximation in Banach spaces by Galerkin methods -- Part II. Approximation of PDEs -- 3. Coercive problems -- 4. Mixed problems -- 5. First-order PDEs -- 6. Time-dependent problems -- Part III. Implementation -- 7. Data structuring and mesh generation -- 8. Quadratures, assembling, and storage -- 9. Linear algebra -- 10. A Posteriori error estimates and adaptive meshes -- Part IV. Appendices -- A. Banach and Hilbert spaces -- B. Functional analysis