Adaptive meshing with boundary elements
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Bibliographic Information
Adaptive meshing with boundary elements
（Topics in engineering, v. 41）
WIT Press , Computational Mechanics, c2002
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Includes bibliographical references and index
Description and Table of Contents
Description
This title is devoted to the formulation and implementation of new reliable and efficient error indicators capable of providing adaptive meshing processes in the Boundary Element Method (BEM). It is organised in four sections. The first gives a review of the basic equations of solid mechanics, while the second presents the boundary integral equations required to formulate conventional and higher order boundary elements. The third section focuses on the computation of the stresses on the boundary and provides an attractive alternative global re-analysis technique which can be used to obtain accurate values for those quantities. In the final section the authors review some of the most relevant error indicators that have been proposed and present two new alternatives that can be used to estimate the error in the numerical solution obtained with the BEM.The self-contained treatment of topics and the new alternatives proposed to compute reliable and efficient error indicators make this text a valuable reference for readers interested in learning about adaptive meshing techniques, as well as for researchers working in the field.
Table of Contents
- Preface List of Symbols Chapter 1 - Basic solid mechanics Elasticity
- Thermoelasticity
- Principal stresses
- Failure criteria
- References Chapter 2 - Boundary Integral Equations BIEs for the potential problem
- BIEs for the elastostatic problem
- BIEs for the thermoelastic problem
- Numerical implementation
- References Chapter 3 - Elements for two- and three- dimensional problems Lagrange elements
- Overhauser elements
- B-spline elements
- Hermite elements
- Transition elements
- References Chapter 4 - Overview of the computation of boundary stresses Computation of boundary stresses
- Formulations involving tangential derivatives of displacements
- Other alternatives
- References Chapter 5 - Global reanalysis technique Two-dimensional potential problem
- Two-dimensional elastostatic problem
- Three-dimensional elastostatic problem
- Numerical results
- References Chapter 6 - Overview of adaptive meshing and error estimation Adaptive meshing techniques
- Error indicators
- 6.3 \textit A priori and \textit a posteriori error indicators
- Error indicators based on CBIEs
- Error indicators based on HBIEs
- Error estimators
- Adaptive strategies
- References Chapter 7 - New error indicators for two-dimensional problems Formulation
- Numerical results
- Numerical results for the potential problem
- Numerical results for the elastostatic problem
- Numerical results for thermoelasticity
- References Chapter 8 - New error indicators for three-dimensional problems Formulation
- Numerical results
- References
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