عنوان

The Least-Squares Finite Element Method :

شابک

3662037408

شابک

9783662037409

شماره

b579325

عنوان اصلي

The Least-Squares Finite Element Method :

نام عام مواد

[Book]

ساير اطلاعات عنواني

Theory and Applications in Computational Fluid Dynamics and Electromagnetics

نام نخستين پديدآور

by Bo-nan Jiang.

محل نشرو پخش و غیره

Berlin, Heidelberg

نام ناشر، پخش کننده و غيره

Springer Berlin Heidelberg

تاریخ نشرو بخش و غیره

1998

نام خاص و کميت اثر

(xvi, 418 pages)

عنوان فروست

Scientific computation.

متن يادداشت

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.

متن يادداشت

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 electromagnetics with only one mathematical/computational formulation. The book shows that commonly adopted special treatments in computational fluid dynamics and computational electromagnetics, such as upwinding, numerical dissipation, staggered grid, non-equal-order elements, operator splitting and preconditioning, edge elements, vector potential, and so on, are unnecessary. This book introduces the basic theory of the least-squares method for first-order PDE systems, particularly the div-curl system and the div-curl-grad system. It is applied to the study of permissible boundary conditions for the incompressible Navier--Stokes equations, to show that the divergence equations in the Maxwell equations are not redundant, and to derive equivalent second-order versions of the Navier--Stokes equations and the Maxwell equations. This book covers diverse applications such as incompressible viscous flows, rotational inviscid flows, low- or high-Mach-number compressible flows, two-fluid flows, convective flows, and scattering waves.

موضوع مستند نشده

Computer science.

موضوع مستند نشده

Mathematical optimization.

موضوع مستند نشده

Physics.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by Bo-nan Jiang.

مستند نام اشخاص تاييد نشده

Bo-nan Jiang

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y