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  • © 2004

Conjugate Gradient Algorithms and Finite Element Methods

Part of the book series: Scientific Computation (SCIENTCOMP)

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Table of contents (21 chapters)

  1. Front Matter

    Pages I-XV
  2. Foundations

    1. Front Matter

      Pages 1-1
    2. Geometric Interpretations of Conjugate Gradient and Related Methods

      • Michal Křížek, Sergey Korotov
      Pages 25-43
  3. Aspects of Conjugate Gradient Algorithms

    1. Front Matter

      Pages 45-45
    2. The Convergence of Krylov Methods and Ritz Values

      • Jan Brandts, Henk van der Vorst
      Pages 47-68
    3. Nonsmooth Equation Method for Nonlinear Nonconvex Optimization

      • Ladislav Lukšan, Ctirad Matonoha, Jan Vlček
      Pages 131-145
  4. Finite Element Meshes

    1. Front Matter

      Pages 147-147
    2. Nonstandard Nonobtuse Refinements of Planar Triangulations

      • Sergey Korotov, Jacek Stańdo
      Pages 149-160
    3. Acute Versus Nonobtuse Tetrahedralizations

      • Michal Křížek, Jakub Šolc
      Pages 161-170
    4. A Posteriori Error Estimation of “Quantities of Interest” on “Quantity-Adapted” Meshes

      • Pekka Neittaanmäki, Sergey Korotov, Janne Martikainen
      Pages 171-181
  5. Applications to the Solution of Linear and Nonlinear Partial Differential Equations

    1. Front Matter

      Pages 183-183
    2. Iterative Solution Methods of the Maxwell Equations Using Staggered Grid Spatial Discretization

      • Robert Horváth, István Faragó, Willy Schilders
      Pages 211-221

About this book

The position taken in this collection of pedagogically written essays is that conjugate gradient algorithms and finite element methods complement each other extremely well.

Via their combinations practitioners have been able to solve complicated, direct and inverse, multidemensional problems modeled by ordinary or partial differential equations and inequalities, not necessarily linear, optimal control and optimal design being part of these problems.

The aim of this book is to present both methods in the context of complicated problems modeled by linear and nonlinear partial differential equations, to provide an in-depth discussion on their implementation aspects. The authors show that conjugate gradient methods and finite element methods apply to the solution of real-life problems. They address graduate students as well as experts in scientific computing.

Editors and Affiliations

  • Mathematical Institute, Academy of Sciences, Prague, Czech Republic

    Michal Křížek

  • Department of Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Pekka Neittaanmäki, Sergey Korotov

  • Department of Mathematics, University of Houston, Houston, USA

    Roland Glowinski

Bibliographic Information

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access