Finite Element and Boundary Element Techniques from Mathematical and Engineering Point of View

1. Front Matter

   Pages i-vii

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2. Complementary Variational Principles

   • W. Velte

   Pages 1-32

3. Five Lectures on Nonlinear Finite Element Methods

   • E. Stein, D. Bischoff, N. Müller-Hoeppe, W. Wagner, P. Wriggers

   Pages 33-107

4. Boundary Element Technique in Elastostatics and Linear Fracture Mechanics

   • G. Kuhn

   Pages 109-169

5. Numerical Treatment of Corner and Crack Singularities

   • H. Blum

   Pages 171-212

6. Plastic Analysis by Boundary Elements

   • G. Maier, G. Novati, U. Perego

   Pages 213-272

7. On Asymptotic Error Estimates for Combined Bem and Fem

   • W. L. Wendland

   Pages 273-333

Traditional FEM and the more recent BEM underlie many engineering computational methods and corresponding software. Both methods have their merits and also their limitations. The combination of both methods will provide an improved numerical tool in the future. The aim of this book is to present significant basic formulations of FEM and BEM and to show their common practical and mathematical foundations, their differences and possibilities for their combination. These include variational foundations, FEM and BEM for linear and non-linear elasticity and potential problems, the combination of FEM-BEM asymptotic error analysis, modifications due to corner and crack singularities and corresponding improvement of convergence, plastic analysis, numerical algorithms and engineering applications.

• algorithms
• convergence
• elasticity
• finite element method
• Mathematica

• Universität Hannover, Germany

  E. Stein

• Universität Stuttgart, Germany

  W. Wendland

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