Eddy Current Approximation of Maxwell Equations

Theory, Algorithms and Applications
2010
ISBN: 978-88-470-1505-0
Verlag: Springer Milan

Buch, Englisch, 347 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 711 g

Reihe: MS&A

(i.e., thedisplacement current introducedby Maxwell)or, alternatively,neglectingthe time derivative of the magnetic induction.

Zielgruppe

Research

Autoren/Hrsg.

Valli, Alberto

Alonso Rodriguez, Ana

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Naturwissenschaften Physik Elektromagnetismus

Inhaltsverzeichnis

Setting the problem.- A mathematical justification of the eddy current model.- Existence and uniqueness of the solution.- Hybrid formulations for the electric and magnetic fields.- Formulations via scalar potentials.- Formulations via vector potentials.- Coupled FEM-BEM approaches.- Voltage and current intensity excitation.- Selected applications.

Über Autor(innen)

Since more than ten years the authors have performed researches in the field of numerical approximation of partial differential equations, especially the finite element approximation of problems in electromagnetics. They have published many papers on numerical approximation of partial differential equations on some of the most important journal devoted to this topic. The second author has written two other books on the subject: A. Quarteroni and A. Valli, Numerical Approximation of Partial Differential Equations, Springer, 1997 (second edition); A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations, Oxford University Press, 1999