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| Title | The Least-Squares Finite Element Method : Theory and Applications in Computational Fluid Dynamics and Electromagnetics |
| Author(s) | Jiang, Bo-nan |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 1998. |
| Description | XVI, 418 p : online resource |
| Abstract Note | 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 |
| ISBN,Price | 9783662037409 |
| Keyword(s) | 1. CALCULUS OF VARIATIONS
2. Calculus of Variations and Optimal Control; Optimization
3. Classical and Continuum Physics
4. CLASSICAL ELECTRODYNAMICS
5. Computational Science and Engineering
6. Computer mathematics
7. Continuum physics
8. EBOOK
9. EBOOK - SPRINGER
10. ELECTRODYNAMICS
11. Fluid- and Aerodynamics
12. FLUIDS
13. Numerical and Computational Physics, Simulation
14. OPTICS
15. PHYSICS
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| Item Type | eBook |
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Circulation Data
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Call# | Status | Issued To | Return Due On | Physical Location |
| I03760 |
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