Book Volume 15 2008

The Mathematical Theory of Finite Element Methods

Authors:

ISBN: 978-0-387-75933-3 (Print) 978-0-387-75934-0 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xvii

  2. No Access

    Chapter

    Pages 1-22

    Basic Concepts

  3. No Access

    Chapter

    Pages 23-47

    Sobolev Spaces

  4. No Access

    Chapter

    Pages 49-67

    Variational Formulation of Elliptic Boundary Value Problems

  5. No Access

    Chapter

    Pages 69-92

    The Construction of a Finite Element Space

  6. No Access

    Chapter

    Pages 93-127

    Polynomial Approximation Theory in Sobolev Spaces

  7. No Access

    Chapter

    Pages 129-154

    n-Dimensional Variational Problems

  8. No Access

    Chapter

    Pages 155-173

    Finite Element Multigrid Methods

  9. No Access

    Chapter

    Pages 175-214

    Additive Schwarz Preconditioners

  10. No Access

    Chapter

    Pages 215-240

    Max—norm Estimates

  11. No Access

    Chapter

    Pages 241-269

    Adaptive Meshes

  12. No Access

    Chapter

    Pages 271-309

    Variational Crimes

  13. No Access

    Chapter

    Pages 311-329

    Applications to Planar Elasticity

  14. No Access

    Chapter

    Pages 331-354

    Mixed Methods

  15. No Access

    Chapter

    Pages 355-370

    Iterative Techniques for Mixed Methods

  16. No Access

    Chapter

    Pages 371-381

    Applications of Operator-Interpolation Theory

  17. Back Matter

    Pages 383-398