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Mixed finite element methods and applications Daniele Boffi, Franco Brezzi, Michel Fortin

Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online

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Format:
Book
Author/Creator:
Boffi, Daniele, author.
Brezzi, F. (Franco), 1945- author.
Fortin, Michel, 1945- author.
Series:
Springer series in computational mathematics 44
Springer series in computational mathematics 0179-3632 44
Language:
English
Subjects (All):
Finite element method.
Finite element method--Data processing.
Physical Description:
1 online resource
Place of Publication:
Berlin New York Springer [2013]
System Details:
text file
PDF
Summary:
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
Contents:
1. Variational formulations and finite element methods
2. Function spaces and finite element approximations
3. Algebraic aspects of saddle point problems
4. Saddle point problems in Hilbert spaces
5. Approximation of saddle point problems
6. Complements : stabilisation methods, eigenvalue problems
7. Mixed methods for elliptic problems
8. Incompressible materials and flow problems
9. Complements on elasticity problems
10. Complements on plate problems
11. Mixed finite elements for electromagnetic problems
Notes:
Includes bibliographical references and index
Description based on online resource; title from digital title page (viewed on February 18, 2022)
Other Format:
Print version:
ISBN:
9783642365195
3642365191
1299859798
9781299859791
OCLC:
852793209
Access Restriction:
Restricted for use by site license

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