Least-squares finite element methods

著者

• Bochev, Pavel B.
• Gunzburger, Max D

書誌事項

Least-squares finite element methods

Pavel B. Bochev, Max D. Gunzburger

（Applied mathematical sciences, 166）

Springer, c2009

注記

Includes bibliographical references (p. 625-640) and index

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA89554480
• ISBN:
  • 9780387308883
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: xxii, 660 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BA00020952