The Method of Fundamental Solutions: Theory and Applications /

The Method of Fundamental Solutions: Theory and Applications / / Hung-Tsai HUANG, Yimin WEI, Liping ZHANG, Zi-Cai LI.

The fundamental solutions (FS) satisfy the governing equations in a solution domain S, and then the numerical solutions can be found from the exterior and the interior boundary conditions on S. The resource nodes of FS are chosen outside S, distinctly from the case of the boundary element method (B...

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Bibliographic Details
VerfasserIn:
LI, Zi-Cai,
HUANG, Hung-Tsai,
WEI, Yimin,
Place / Publishing House:Les Ulis : : EDP Sciences, , [2023]
2023
Year of Publication:2023
Language:English
Online Access:
Physical Description:1 online resource (470 p.)
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Table of Contents:
  • Frontmatter
  • Contents
  • Preface
  • Acknowledgements
  • Chapter 1. Introduction
  • Part I. Laplace's Equation
  • Introduction
  • CHAPTER 2. Dirichlet Problems
  • CHAPTER 3. Neumann Problems
  • CHAPTER 4. Other Boundary Problems
  • CHAPTER 5. Combined Methods
  • CHAPTER 6. Source Nodes on Elliptic Pseudo-Boundaries
  • Part II. Helmholtz's Equations and Other Equations
  • Introduction
  • CHAPTER 7. Helmholtz Equations in Simply-Connected Domains
  • CHAPTER 8. Exterior Problems of Helmholtz Equation
  • CHAPTER 9. Helmholtz Equations in Bounded Multiply-Connected Domains
  • CHAPTER 10. Biharmonic Equations
  • CHAPTER 11. Elastic Problems
  • CHAPTER 12. Cauchy Problems
  • CHAPTER 13. 3D Problems
  • Part III. Selection of Source Nodes and Related Topics
  • Introduction
  • CHAPTER 14. Comparisons of MFS and MPS
  • CHAPTER 15. Stability Analysis for Smooth Closed Pseudo-Boundaries
  • CHAPTER 16. Singularity Problems from Source Functions; Removal Techniques
  • CHAPTER 17. Source Nodes on Pseudo Radial-Lines
  • Epilogue
  • References
  • Glossary of Symbols
  • Index

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