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Advanced Finite Element Methods and Applications

  • Book
  • © 2013

Overview

Editors:
  1. Thomas Apel

    1. Inst. Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, Germany

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  2. Olaf Steinbach

    1. Institut für Numerische Mathematik, Technische Universität Graz, Graz, Austria

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    You can also search for this editor in PubMed   Google Scholar

  • Latest results in Advanced Finite Element Methods and Applications
  • Written by leading experts in this field
  • State-of-the-Art book

Part of the book series: Lecture Notes in Applied and Computational Mechanics (LNACM, volume 66)

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Table of contents (16 chapters)

  1. Front Matter

    Pages 1-13
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  2. A Brief History of the Parallel Dawn in Karl-Marx-Stadt/Chemnitz

    • Gundolf Haase, Matthias Pester
    Pages 1-26

  3. Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes

    • Joachim Schöberl, Christoph Lehrenfeld
    Pages 27-56

  4. Fast Domain Decomposition Algorithms for Elliptic Problems with Piecewise Variable Orthotropism

    • Vadim G. Korneev
    Pages 57-89

  5. Inexact Additive Schwarz Solvers for hp-FEM Discretizations in Three Dimensions

    • Sven Beuchler
    Pages 91-108

  6. A Rigorous Error Analysis of Coupled FEM-BEM Problems with Arbitrary Many Subdomains

    • Clemens Pechstein, Clemens Hofreither
    Pages 109-132

  7. A Review of Anisotropic Refinement Methods for Triangular Meshes in FEM

    • René Schneider
    Pages 133-152

  8. A Postprocessing Finite Element Strategy for Poisson’s Equation in Polygonal Domains: Computing the Stress Intensity Factors

    • Boniface Nkemzi, Michael Jung
    Pages 153-173

  9. Multilevel Preconditioners for Temporal-Difference Learning Methods Related to Recommendation Engines

    • Michael Thess
    Pages 175-195

  10. Efficient Solvers for Saddle Point Problems with Applications to PDE–Constrained Optimization

    • Walter Zulehner
    Pages 197-216

  11. Convergence Orders of Iterative Methods for Nonlinear Eigenvalue Problems

    • Gerhard Unger
    Pages 217-237

  12. Sensitivity Analysis for Maxwell Eigenvalue Problems in Industrial Applications

    • Stefan Reitzinger, Markus Wabro, Sabine Zaglmayr
    Pages 239-256

  13. Non-sequential Optical Field Tracing

    • Michael Kuhn, Frank Wyrowski, Christian Hellmann
    Pages 257-273

  14. Boundary Element Method for Linear Elasticity with Conservative Body Forces

    • Heiko Andrä, Richards Grzhibovskis, Sergej Rjasanow
    Pages 275-297

  15. Towards the Direct and Inverse Adaptive Mixed Finite Element Formulations for Nearly Incompressible Elasticity at Large Strains

    • Anke Bucher, Uwe–Jens Görke, Reiner Kreißig
    Pages 299-323

  16. Application of the Reciprocity Principle for the Determination of Planar Cracks in Piezoelectric Material

    • Peter Steinhorst, Barbara Kaltenbacher
    Pages 325-353

  17. Procrack: A Software for Simulating Three-Dimensional Fatigue Crack Growth

    • Frank Rabold, Meinhard Kuna, Thomas Leibelt
    Pages 355-374
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Keywords

About this book

This volume on some recent aspects of finite element methods and their applications is dedicated to Ulrich Langer and Arnd Meyer on the occasion of their 60th birthdays in 2012. Their work combines the numerical analysis of finite element algorithms, their efficient implementation on state of the art hardware architectures, and the collaboration with engineers and practitioners. In this spirit, this volume contains contributions of former students and collaborators indicating the broad range of their interests in the theory and application of finite element methods.

Topics cover the analysis of domain decomposition and multilevel methods, including hp finite elements, hybrid discontinuous Galerkin methods, and the coupling of finite and boundary element methods; the efficient solution of eigenvalue problems related to partial differential  equations with applications in electrical engineering and optics; and the solution of direct and inverse field problems in solid mechanics.

Editors and Affiliations

  • Inst. Mathematik und Bauinformatik, Universität der Bundeswehr München, Neubiberg, Germany

    Thomas Apel

  • Institut für Numerische Mathematik, Technische Universität Graz, Graz, Austria

    Olaf Steinbach

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