TY - BOOK AU - Ern,Alexandre AU - Guermond,Jean-Luc TI - Theory and practice of finite elements T2 - Applied mathematical sciences SN - 0387205748 AV - TA347.F5 E75 2004 PY - 2004///] CY - New York PB - Springer KW - Finite element method KW - Éléments finis, Méthode des N1 - 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 ER -