This Introduction to the Theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest Mathematical backgrounds.
Reddy is Professor of Engineering at Texas A&M University..
N.
J.
Oden is Director of the Institute for Computational Engineering & Sciences at the University of Texas at Austin and author of Dover\'s Finite Elements of Nonlinear Continua.
T.
About the Author: The "father" of the Finite element method, J.
Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
The second half of the text explores the Theory of Finite element interpolation, Finite element methods for elliptic equations, and Finite element methods for initial boundary value problems.
Their effective presentation begins with introductory accounts of the Theory of distributions, Sobolev spaces, intermediate spaces and duality, the Theory of elliptic equations, and variational boundary value problems.
They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds.
Reddy is a Professor of Engineering at Texas A&M University.
N.
Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J.
T.
J.
It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the Theory of Finite element approximations.
This Introduction to the Theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest Mathematical backgrounds
