Mixed Finite Element Methods and Applications

Softcover Nachdruck of the original 1. Auflage 2013
ISBN: 978-3-642-43602-4
Verlag: Springer

Buch, Englisch, Band 44, 685 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 10409 g

Reihe: Springer Series in Computational Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Boffi, Daniele

Fortin, Michel

Brezzi, Franco

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.

Über Autor(innen)

Franco Brezzi is Editor-in-Chief of the journal Numerische Mathematik and co-author of several Springer books, among others the classical book SSCM Vol. 15 "Mixed and Hybrid Finite Element Methods" with Michel Fortin.