Least-squares finite element methods
Author(s)
Bibliographic Information
Least-squares finite element methods
（Applied mathematical sciences, 166）
Springer, c2009
Available at / 27 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
BOC||9||1200010694058
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Note
Includes bibliographical references (p. 625-640) and index
Description and Table of Contents
Description
Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat, transfer, and other problems. This book provides researchers and practitioners with a concise guide to the theory and practice of least-square finite element methods, their strengths and weaknesses, established successes, and open problems.
Table of Contents
- Survey of Variational Principles and Associated Finite Element Methods..- Classical Variational Methods.- Alternative Variational Formulations.- Abstract Theory of Least-Squares Finite Element Methods.- Mathematical Foundations of Least-Squares Finite Element Methods.- The Agmon#x2013
- Douglis#x2013
- Nirenberg Setting for Least-Squares Finite Element Methods.- Least-Squares Finite Element Methods for Elliptic Problems.- Scalar Elliptic Equations.- Vector Elliptic Equations.- The Stokes Equations.- Least-Squares Finite Element Methods for Other Settings.- The Navier#x2013
- Stokes Equations.- Parabolic Partial Differential Equations.- Hyperbolic Partial Differential Equations.- Control and Optimization Problems.- Variations on Least-Squares Finite Element Methods.- Supplementary Material.- Analysis Tools.- Compatible Finite Element Spaces.- Linear Operator Equations in Hilbert Spaces.- The Agmon#x2013
- Douglis#x2013
- Nirenberg Theory and Verifying its Assumptions.
by "Nielsen BookData"
