A Projection Transformation Method for Nearly Singular Surface Boundary Element Integrals
In three dimensional boundary element analysis, computation of integrals is an important aspect since it governs the accuracy of the analysis and also because it usually takes the major part of the CPU time. The integrals which determine the influence matrices, the internal field and its gradients c...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1992, 1992
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| Edition: | 1st ed. 1992 |
| Series: | Lecture Notes in Engineering
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I Theory and Algorithms
- 1 Introduction
- 2 Boundary Element Formulation of 3-d Potential Problems
- 3 Nature of Integrals in 3-d Potential Problems
- 4 Survey of Quadrature Methods for 3-d Boundary Element Method
- 5 The Projection and Angular & Radial Transformation (Part) Method
- 6 Elementary Error Analysis
- 7 Error Analysis using Complex Function Theory
- II Applications and Numerical Results
- 8 Numerical Experiment Procedures and Element Types
- 9 Applications to Weakly Singular Integrals
- 10 Applications to Nearly Singular Integrals
- 11 Applications to Hypersingular Integrals
- 12 Conclusions
- References