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Conjugate Gradient Algorithms and Finite Element Methods

  • Book
  • © 2004

Overview

Part of the book series: Scientific Computation (SCIENTCOMP)

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Table of contents (21 chapters)

  1. Foundations

  2. Aspects of Conjugate Gradient Algorithms

  3. Finite Element Meshes

  4. Applications to the Solution of Linear and Nonlinear Partial Differential Equations

Keywords

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

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