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

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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.

Author(s): E. Stein, W. Wendland (eds.)
Series: CISM International Centre for Mechanical Sciences 301
Edition: 1
Publisher: Springer-Verlag Wien
Year: 1988

Language: English
Pages: 333
Tags: Numerical Analysis; Analysis; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Simulation and Modeling; Mechanics

Front Matter....Pages i-vii
Complementary Variational Principles....Pages 1-32
Five Lectures on Nonlinear Finite Element Methods....Pages 33-107
Boundary Element Technique in Elastostatics and Linear Fracture Mechanics....Pages 109-169
Numerical Treatment of Corner and Crack Singularities....Pages 171-212
Plastic Analysis by Boundary Elements....Pages 213-272
On Asymptotic Error Estimates for Combined Bem and Fem....Pages 273-333