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The Mathematical Theory of Finite Element Methods

  • Susanne C. Brenner
  • L. Ridgway Scott

Part of the Texts in Applied Mathematics book series (TAM, volume 15)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Susanne C. Brenner, L. Ridgway Scott
    Pages 1-20
  3. Susanne C. Brenner, L. Ridgway Scott
    Pages 21-45
  4. Susanne C. Brenner, L. Ridgway Scott
    Pages 47-66
  5. Susanne C. Brenner, L. Ridgway Scott
    Pages 67-90
  6. Susanne C. Brenner, L. Ridgway Scott
    Pages 91-122
  7. Susanne C. Brenner, L. Ridgway Scott
    Pages 123-148
  8. Susanne C. Brenner, L. Ridgway Scott
    Pages 149-167
  9. Susanne C. Brenner, L. Ridgway Scott
    Pages 169-193
  10. Susanne C. Brenner, L. Ridgway Scott
    Pages 195-216
  11. Susanne C. Brenner, L. Ridgway Scott
    Pages 217-235
  12. Susanne C. Brenner, L. Ridgway Scott
    Pages 237-260
  13. Susanne C. Brenner, L. Ridgway Scott
    Pages 261-276
  14. Susanne C. Brenner, L. Ridgway Scott
    Pages 277-286
  15. Back Matter
    Pages 287-294

About this book

Introduction

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas­ sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Math­ (AMS) series, which will focus on advanced textbooks ematical Sciences and research level monographs. Preface This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. One purpose of this book is to formalize basic tools that are commonly used by researchers in the field but never published. It is intended primarily for mathematics graduate students and mathematically sophisticated engineers and scientists. The book has been the basis for graduate-level courses at The Uni­ versity of Michigan, Penn State University and the University of Houston.

Keywords

Finite Element Methods Sobolev space finite element method numerical analysis operator

Authors and affiliations

  • Susanne C. Brenner
    • 1
  • L. Ridgway Scott
    • 2
  1. 1.Department of MathematicsUniversity of South CarolinaColumbiaUSA
  2. 2.Department of MathematicsUniversity of HoustonHoustonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-4338-8
  • Copyright Information Springer-Verlag New York 1994
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4757-4340-1
  • Online ISBN 978-1-4757-4338-8
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site
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