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  • Book
  • © 1990

Mathematical Theory of Finite and Boundary Element Methods

Birkhäuser

Authors:

  1. Albert H. Schatz

    1. Dept. of Mathematics, Cornell University, Ithaca, USA

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  2. Vidar Thomée

    1. Dept. of Mathematics, Chalmers University of Technology University of Göteborg, Göteborg, Sweden

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  3. Wolfgang L. Wendland

    1. Mathematisches Institut A, University of Stuttgart, Stuttgart 80, Federal Republic of Germany

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Part of the book series: Oberwolfach Seminars (OWS, volume 15)

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Table of contents (6 chapters)

  1. Front Matter

    Pages 1-8
    PDF

  2. An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems

  3. The Finite Element Method for Parabolic Problems

  4. Boundary Element Methods for Elliptic Problems

    1. Front Matter

      Pages 219-221
      PDF

    2. Boundary Integral Equations

      • Albert H. Schatz, Vidar Thomée, Wolfgang L. Wendland
      Pages 223-238

    3. The Characterization of Boundary Integral Operators and Galerkin Boundary Element Methods

      • Albert H. Schatz, Vidar Thomée, Wolfgang L. Wendland
      Pages 239-255

    4. Collocation Methods

      • Albert H. Schatz, Vidar Thomée, Wolfgang L. Wendland
      Pages 257-266

    5. Concluding Remarks

      • Albert H. Schatz, Vidar Thomée, Wolfgang L. Wendland
      Pages 267-268

  5. Back Matter

    Pages 269-276
    PDF
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About this book

These are the lecture notes of the seminar "Mathematische Theorie der finiten Element­ und Randelementmethoden" organized by the "Deutsche Mathematiker-Vereinigung" and held in Dusseldorf from 07. - 14. of June 1987. Finite element methods and the closely related boundary element methods nowadays belong to the standard routines for the computation of solutions to boundary and initial boundary value problems of partial differential equations with many applications as e.g. in elasticity and thermoelasticity, fluid mechanics, acoustics, electromagnetics, scatter­ ing and diffusion. These methods also stimulated the development of corresponding mathematical numerical analysis. I was very happy that A. Schatz and V. Thomee generously joined the adventure of the seminar and not only gave stimulating lectures but also spent so much time for personal discussion with all the participants. The seminar as well as these notes consist of three parts: 1. An Analysis of the Finite Element Method for Second Order Elliptic Boundary Value Problems by A. H. Schatz. II. On Finite Elements for Parabolic Problems by V. Thomee. III. I30undary Element Methods for Elliptic Problems by \V. L. Wendland. The prerequisites for reading this book are basic knowledge in partial differential equations (including pseudo-differential operators) and in numerical analysis. It was not our intention to present a comprehensive account of the research in this field, but rather to give an introduction and overview to the three different topics which shed some light on recent research.
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Keywords

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Authors and Affiliations

  • Dept. of Mathematics, Cornell University, Ithaca, USA

    Albert H. Schatz

  • Dept. of Mathematics, Chalmers University of Technology University of Göteborg, Göteborg, Sweden

    Vidar Thomée

  • Mathematisches Institut A, University of Stuttgart, Stuttgart 80, Federal Republic of Germany

    Wolfgang L. Wendland

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Bibliographic Information

  • Book Title: Mathematical Theory of Finite and Boundary Element Methods

  • Authors: Albert H. Schatz, Vidar Thomée, Wolfgang L. Wendland

  • Series Title: Oberwolfach Seminars

  • DOI: https://doi.org/10.1007/978-3-0348-7630-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Basel 1990

  • Softcover ISBN: 978-3-7643-2211-3Published: 01 January 1990

  • eBook ISBN: 978-3-0348-7630-8Published: 09 March 2013

  • Series ISSN: 1661-237X

  • Series E-ISSN: 2296-5041

  • Edition Number: 1

  • Number of Pages: VIII, 268

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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Buy it now

eBook USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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