Title: The least-squares finite element method : theory and applications in computational fluid dynamics and electromagnetics /
Authors: Jiang, Bo-Nan, 1940-
Publisher: Springer,
Year: 1998
Subjects: Fluid mechanics Mathematics.; Electromagnetism Mathematics; Finite element method.; Least squares.; Differential equations, Partial Numerical solutions.
Contents: pt. I. Basic Concepts of LSFEM. 1. Introduction. 2. First-Order Scalar Equation in One Dimension. 3. First-Order System in One Dimension -- pt. II. Fundamentals of LSFEM. 4. Basis of LSFEM. 5. Div-Curl System. 6. Div-Curl-Grad System -- pt. III. LSFEM in Fluid Dynamics. 7. Inviscid Irrotational Flows. 8. Incompressible Viscous Flows. 9. Convective Transport. 10. Incompressible Inviscid Rotational Flows. 11. Low-Speed Compressible Viscous Flows. 12. Two-Fluid Flows. 13. High-Speed Compressible Flows -- pt. IV. LSFEM in Electromagnetics. 14. Electromagnetics -- pt. V. Solution of Discrete Equations. 15. The Element-by-Element Conjugate Gradient Method -- App. A. Operations on Vectors -- App. B. Green's Formula -- App. C. Poincare Inequality -- App. D. Lax-Milgram Theorem.