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The Least-Squares Finite Element Method : Theory and Applications in Computational Fluid Dynamics and Electromagnetics /

This is the first book devoted to the least-squares finite element method (LSFEM), which is a simple, efficient and robust technique for the numerical solution of partial differential equations. The book demonstrates that the LSFEM can solve a broad range of problems in fluid dynamics and electromag...

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Bibliographic Details
Main Author: Jiang, Bo-nan
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1998.
Series:Scientific computation.
Subjects:
Physics.
Computer science.
Mathematical optimization.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Contents (preliminary): I. The Basic Concept of the LSFEM
  • 1. Introduction
  • 2. The first-order Scalar Differential Equation in One-Dimension
  • 3. The First-Order System in One-Dimension
  • II. Fundamentals of the LSFEM
  • 4. Fundamentals of the LSFEM
  • 5. The Div-Curl System
  • 6. The Div-Curl-Grad System
  • III. The LSFEM in Fluid Dynamics
  • 7. Inviscid Irrotational Flows
  • 8. Incompressible Viscous Flows
  • 9. Convective Transport
  • 10. Rotational Inviscid Flows
  • 11. Two-face Flows
  • 12. Compressible Viscous Flows
  • 13. High-Speed Compressible Flows
  • 14. P-Version Least-Squares Finite Element Method
  • IV. The LSFEM in Electromagnetics
  • 15. Electromagnetics
  • V. Solution of the Discrete Equations 16. Iterative Methods for Solving Linear Systems of Equations
  • Appendix A: Operation on Vectors
  • B. Green's Formula
  • C. Finite Element Interpolation
  • D. The Lax-Milgram Theory
  • References
  • Index.