Nicht aus der Schweiz? Besuchen Sie lehmanns.de
The Least-Squares Finite Element Method - Bo-nan Jiang

The Least-Squares Finite Element Method

Theory and Applications in Computational Fluid Dynamics and Electromagnetics

(Autor)

Buch | Hardcover
XVI, 418 Seiten
1998 | 1998
Springer Berlin (Verlag)
978-3-540-63934-3 (ISBN)
CHF 224,65 inkl. MwSt
Here is a comprehensive introduction to the least-squares finite element method (LSFEM) for numerical solution of PDEs. It covers the theory for first-order systems, particularly the div-curl and the div-curl-grad system. Then LSFEM is applied systematically to 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. LSFEM is simple, efficient and robust, and can solve a wide range of problems in fluid dynamics and electromagnetics, including incompressible viscous flows, rotational inviscid flows, low-Mach-number compressible flows, two-fluid and convective flows, scattering waves, etc.

I. Basic Concepts of LSFEM.- 1. Introduction.- 2. First-Order Scalar Equation in One Dimension.- 3. First-Order System in One Dimension.- II. Fundamentals of LSFEM.- 4. Basis of LSFEM.- 5. Div-Curl System.- 6. Div-Curl-Grad System.- 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.- IV. LSFEM in Electromagnetics.- 14. Electromagnetics.- V. Solution of Discrete Equations.- 15. The Element-by-Element Conjugate Gradient Method.- Appendices.- A. Operations on Vectors.- B. Green's Formula.- C. Poincaré Inequality.- D. Lax-Milgram Theorem.- References.

Erscheint lt. Verlag 22.6.1998
Reihe/Serie Scientific Computation
Zusatzinfo XVI, 418 p.
Verlagsort Berlin
Sprache englisch
Maße 156 x 234 mm
Gewicht 758 g
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte CEM • CFD • computational electrodynamics • computational fluid dynamics • differential equation • Elektromagnetismus • Finite-Elemente-Methode • Finite-Elemente-Methode (FEM) • Finite Element Method • First-Order System • fluid- and aerodynamics • Fluid Dynamics • Fluiddynamik • Hardcover, Softcover / Physik, Astronomie/Allgemeines, Lexika • HC/Informatik, EDV/Informatik • HC/Physik, Astronomie/Allgemeines, Lexika • Least Squares • Maxwell's equations • Navier-Stokes Equation • Numerical analysis • numerical dissipation • Partial differential equations
ISBN-10 3-540-63934-9 / 3540639349
ISBN-13 978-3-540-63934-3 / 9783540639343
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Das Lehrbuch

von Wilhelm Kulisch; Regine Freudenstein

Buch | Softcover (2024)
Wiley-VCH (Verlag)
CHF 55,95
für Studierende der Naturwissenschaften und Technik

von Paul A. Tipler; Peter Kersten; Gene Mosca

Buch | Hardcover (2024)
Springer Spektrum (Verlag)
CHF 109,95