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TitleComputational Electromagnetics [electronic resource] : Proceedings of the GAMM Workshop on Computational Electromagnetics, Kiel, Germany, January 26-28, 2001 / edited by Peter Monk, Carsten Carstensen, Stefan Funken, Wolfgang Hackbusch, Ronald H. W. Hoppe
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003
Connect tohttp://dx.doi.org/10.1007/978-3-642-55745-3
Descript X, 210 p. 23 illus., 4 illus. in color. online resource

SUMMARY

The contributions in this book by leading international experts in the field of electromagnetic field computation cover a wide area of contemporary research activities. They clearly underline the important role of modeling, analysis and numerical methods to provide powerful tools for the simulation of electromagnetic phenomena. The main topics range from the mathematical analysis of Maxwell's equations including its proper spatial discretizations (edge elements, boundary element methods, finite integration), and efficient iterative solution techniques (multigrid, domain decomposition) to multiscale aspects in micromagnetics. The reader will get acquainted with many facets of modern computational techniques and its applications to relevant problems in electromagnetism


CONTENT

Gauged Current Vector Potential and Reentrant Corners in the FEM Analysis of 3D Eddy Currents -- Finite Elements for the Time Harmonic Maxwellโ{128}{153}s Equations -- Trace Theorems on Non-Smooth Boundaries for Functional Spaces Related to Maxwell Equations: an Overview -- Applications of the Mortar Element Method to 3D Electromagnetic Moving Structures -- Numerical Stability of Collocation Schemes for Time Domain Boundary Integral Equations -- hp-Adaptive Finite Elements for Maxwellโ{128}{153}s Equations -- Coupled Calculation of Eigenmodes -- Boundary Element Methods for Eddy Current Computation -- A Simple Proof of Convergence for an Edge Element Discretization of Maxwellโ{128}{153}s Equations -- The Time-Harmonic Eddy-Current Problem in General Domains: Solvability via Scalar Potentials -- Finite Element Micromagnetics -- Finite Integration Method and Discrete Electromagnetism -- Appendix. Color Plates


Physics Applied mathematics Engineering mathematics Computer mathematics Numerical analysis Optics Electrodynamics Physics Optics and Electrodynamics Applications of Mathematics Computational Science and Engineering Numerical Analysis Appl.Mathematics/Computational Methods of Engineering



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