Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems

Theory, Algorithm, and Applications

  • Jens┬áLang

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 16)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Jens Lang
    Pages 1-4
  3. Jens Lang
    Pages 31-45
  4. Jens Lang
    Pages 69-77
  5. Back Matter
    Pages 119-162

About this book

Introduction

This book deals with the adaptive numerical solution of parabolic partial differential equations (PDEs) arising in many branches of applications. It illustrates the interlocking of numerical analysis, the design of an algorithm and the solution of practical problems. In particular, a combination of Rosenbrock-type one-step methods and multilevel finite elements is analysed. Implementation and efficiency issues are discussed. Special emphasis is put on the solution of real-life applications that arise in today's chemical industry, semiconductor-device fabrication and health care. The book is intended for graduate students and researchers who are either interested in the theoretical understanding of instationary PDE solvers or who want to develop computer codes for solving complex PDEs.

Keywords

Adaptive Finite Elemente Adaptive Numerical Solution Anwendungen Fehlerkontrolle Nichtlineare parabolische Probleme Rosenbrock Methoden Rosenbrock methods adaptive finite elements applications calculus error control nonlinear parabolic problem nonlinear parabolic problems numerical analysis partial differential equation

Authors and affiliations

  • Jens┬áLang
    • 1
  1. 1.Konrad-Zuse-Zentrum BerlinBerlin-DahlemGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04484-1
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08747-9
  • Online ISBN 978-3-662-04484-1
  • Series Print ISSN 1439-7358
  • About this book