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Multigrid Methods for Process Simulation

  • Wolfgang Joppich
  • Slobodan Mijalković

Part of the Computational Microelectronics book series (COMPUTATIONAL)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. Wolfgang Joppich, Slobodan Mijalković
    Pages 1-4
  3. Wolfgang Joppich, Slobodan Mijalković
    Pages 5-139
  4. Wolfgang Joppich, Slobodan Mijalković
    Pages 184-230
  5. Wolfgang Joppich, Slobodan Mijalković
    Pages 231-295
  6. Back Matter
    Pages 296-313

About this book

Introduction

It was about 1985 when both of the authors started their work using multigrid methods for process simulation problems. This happened in­ dependent from each other, with a completely different background and different intentions in mind. At this time, some important monographs appeared or have been in preparation. There are the three "classical" ones, from our point of view: the so-called "1984 Guide" [12J by Brandt, the "Multi-Grid Methods and Applications" [49J by Hackbusch and the so-called "Fundamentals" [132J by Stiiben and Trottenberg. Stiiben and Trottenberg in [132J state a "delayed acceptance, resent­ ments" with respect to multigrid algorithms. They complain: "Nevertheless, even today's situation is still unsatisfactory in several respects. If this is true for the development of standard methods, it applies all the more to the area of really difficult, complex applications." In spite of all the above mentioned publications and without ignoring important theoretical and practical improvements of multigrid, this situa­ tion has not yet changed dramatically. This statement is made under the condition that a numerical principle like multigrid is "accepted", if there exist "professional" programs for research and production purposes. "Professional" in this context stands for "solving complex technical prob­ lems in an industrial environment by a large community of users". Such a use demands not only for fast solution methods but also requires a high robustness with respect to the physical parameters of the problem.

Keywords

CMOS Standard algorithm algorithms calculus differential equation model numerical analysis partial differential equation programming semiconductor simulation

Authors and affiliations

  • Wolfgang Joppich
    • 1
  • Slobodan Mijalković
    • 2
  1. 1.Institut für Methodische GrundlagenGesellschaft für Mathematik und Datenverarbeitung mbHSankt AugustinFederal Republic of Germany
  2. 2.Faculty of Electronic EngineeringUniversity of NišNišYugoslavia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-9253-5
  • Copyright Information Springer-Verlag Vienna 1993
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-7091-9255-9
  • Online ISBN 978-3-7091-9253-5
  • Series Print ISSN 0179-0307
  • Buy this book on publisher's site