Mixed Finite Element Methods and Applications
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
A self contained presentation of the mathematical theory of mixed FEM Applications to elliptic problems, elasticity, electromagnetism, Stokes' problem An augmented version of a classical book? Includes supplementary material: sn.pub/extras
Autor*in
Daniele Boffi
Themen in »Mixed Finite Element Methods and Applications«
Stokes' problem elliptic problems finite element linear elasticity mixed hybrid
Stimmen zu »Mixed Finite Element Methods and Applications«
From the book reviews:
“It is very useful for mathematicians as well as practitioners of finite element methods. The book is divided into 11 chapters.” (Beny Neta, Mathematical Reviews, April, 2014)
“The new book is an extended and corrected revision after 20 years, which is based on the previous material. … one obtains a quite complete overview on the development of nearly all relevant techniques for the construction of a stable mixed method. This makes this monograph a valuable reference for researchers in the field which may replace the first edition on the bookshelf.” (Christian Wieners, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 94 (9), 2014)
()