Least-Squares Finite Element Methods

Authors:

ISBN: 978-0-387-30888-3 (Print) 978-0-387-68922-7 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages 1-21

  2. Survey of Variational Principles and Associated Finite Element Methods.

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 1-31

      Classical Variational Methods

    3. No Access

      Book Chapter

      Pages 1-31

      Alternative Variational Formulations

  3. Abstract Theory of Least-Squares Finite Element Methods

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 1-33

      Mathematical Foundations of Least-Squares Finite Element Methods

    3. No Access

      Book Chapter

      Pages 1-28

      The Agmon–Douglis–Nirenberg Setting for Least-Squares Finite Element Methods

  4. Least-Squares Finite Element Methods for Elliptic Problems

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 1-64

      Scalar Elliptic Equations

    3. No Access

      Book Chapter

      Pages 1-40

      Vector Elliptic Equations

    4. No Access

      Book Chapter

      Pages 1-72

      The Stokes Equations

  5. Least-Squares Finite Element Methods for Other Settings

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 1-55

      The Navier–Stokes Equations

    3. No Access

      Book Chapter

      Pages 1-36

      Parabolic Partial Differential Equations

    4. No Access

      Book Chapter

      Pages 1-26

      Hyperbolic Partial Differential Equations

    5. No Access

      Book Chapter

      Pages 1-46

      Control and Optimization Problems

    6. No Access

      Book Chapter

      Pages 1-56

      Variations on Least-Squares Finite Element Methods

  6. Supplementary Material

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 1-19

      Analysis Tools

    3. No Access

      Book Chapter

      Pages 1-32

      Compatible Finite Element Spaces

    4. No Access

      Book Chapter

      Pages 1-7

      Linear Operator Equations in Hilbert Spaces

    5. No Access

      Book Chapter

      Pages 1-32

      The Agmon–Douglis–Nirenberg Theory and Verifying its Assumptions

  7. Back Matter

    Pages 1-34