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

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.