The mathematical theory of finite element methods
- Susanne C. Brenner, L. Ridgway Scott.
- 3rd ed.
- New York, NY : Springer, c2008.
- Physical description
- xvii, 397 p. : ill. ; 24 cm.
- Texts in applied mathematics 15.
Math & Statistics Library
QA379 .B74 2008
- Unknown QA379 .B74 2008
- Includes bibliographical references (p. -391) and index.
- Basic concepts
- Sobolev spaces
- Variational formulation of elliptic boundary value problems
- The construction of a finite element space
- Polynomial approximation thoery in Sobolev spaces
- n-Dimensional variational problems
- Finite element multigrid methods
- Additive Schwarz preconditioners
- Max-norm estimates
- Adaptive meshes
- Variational crimes
- Applications for planar elasticity
- Mixed methods
- Iteratie techniques for mixed methods
- Applications of Operator-Interpolation theory.
- Publisher's Summary
- This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by researchers in the field but not previously published. The book is ideal for mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes.
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- Supplemental links
Table of contents only
- Publication date
- Texts in applied mathematics ; 15