TY - BOOK AU - Boffi,Daniele AU - Brezzi,Franco AU - Fortin,Michel ED - SpringerLink (Online service) TI - Mixed Finite Element Methods and Applications T2 - Springer Series in Computational Mathematics, SN - 9783642365195 AV - QA71-90 U1 - 518 23 PY - 2013/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - Mathematics KW - Computer mathematics KW - Mechanics KW - Mechanics, Applied KW - Computational Mathematics and Numerical Analysis KW - Computational Science and Engineering KW - Theoretical and Applied Mechanics N1 - Preface -- Variational Formulations and Finite Element Methods -- Function Spaces and Finite Element Approximations -- Algebraic Aspects of Saddle Point Problems -- Saddle Point Problems in Hilbert spaces -- Approximation of Saddle Point Problems -- Complements: Stabilisation Methods, Eigenvalue Problems -- Mixed Methods for Elliptic Problems -- Incompressible Materials and Flow Problems -- Complements on Elasticity Problems -- Complements on Plate Problems -- Mixed Finite Elements for Electromagnetic Problems -- Index. � � � � N2 - Non-standard finite element methods, in particular mixed methods, are central to many applications. In this text the authors, Boffi, Brezzi and Fortin present a general framework, starting with a finite dimensional presentation, then moving on to formulation in Hilbert spaces and finally considering approximations, including stabilized methods and eigenvalue problems. This�book�also provides an introduction to standard finite element approximations, followed by the construction of elements for the approximation of mixed formulations in H(div) and H(curl). The general theory is applied to some classical examples: Dirichlet's problem, Stokes' problem, �plate problems, elasticity and electromagnetism UR - http://dx.doi.org/10.1007/978-3-642-36519-5 ER -