Computational Electromagnetics

1. Front Matter

   Pages I-X

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2. Gauged Current Vector Potential and Reentrant Corners in the FEM Analysis of 3D Eddy Currents

   • Oszkár Bíró, Kurt Preis

   Pages 1-10

3. Finite Elements for the Time Harmonic Maxwell’s Equations

   • Daniele Boffi

   Pages 11-22

4. Trace Theorems on Non-Smooth Boundaries for Functional Spaces Related to Maxwell Equations: an Overview

   • Annalisa Buffa

   Pages 23-34

5. Applications of the Mortar Element Method to 3D Electromagnetic Moving Structures

   • Annalisa Buffa, Yvon Maday, Francesca Rapetti

   Pages 35-50

6. Numerical Stability of Collocation Schemes for Time Domain Boundary Integral Equations

   • Penny Davies, Dugald Duncan

   Pages 51-67

7. hp-Adaptive Finite Elements for Maxwell’s Equations

   • Leszek Demkowicz

   Pages 69-83

8. Coupled Calculation of Eigenmodes

   • H.-W. Glock, K. Rothemund, U. van Rienen

   Pages 85-101

9. Boundary Element Methods for Eddy Current Computation

   • Ralf Hiptmair

   Pages 103-126

10. A Simple Proof of Convergence for an Edge Element Discretization of Maxwell’s Equations

    • Peter Monk

    Pages 127-141

11. The Time-Harmonic Eddy-Current Problem in General Domains: Solvability via Scalar Potentials

    • Ana Alonso Rodríguez, Paolo Fernandes, Alberto Valli

    Pages 143-163

12. Finite Element Micromagnetics

    • Thomas Schrefl, Dieter Suess, Werner Scholz, Hermann Forster, Vassilios Tsiantos, Josef Fidler

    Pages 165-181

13. Finite Integration Method and Discrete Electromagnetism

    • Thomas Weiland

    Pages 183-198

14. Back Matter

    Pages 199-214

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The dimmed outlines of phenomenal things all into one another unless we put on the merge focusing-glass of theory, and screw it up some­ times to one pitch of definition and sometimes to another, so as to see down into different depths through the great millstone of the world James Clerk Maxwell (1831 - 1879) For a long time after the foundation of the modern theory of electromag­ netism by James Clerk Maxwell in the 19th century, the mathematical ap­ proach to electromagnetic field problems was for a long time dominated by the analytical investigation of Maxwell's equations. The rapid development of computing facilities during the last century has then necessitated appropriate numerical methods and algorithmic tools for the simulation of electromagnetic phenomena. During the last few decades, a new research area "Computational Electromagnetics" has emerged com­ prising the mathematical analysis, design, implementation, and application of numerical schemes to simulate all kinds of relevant electromagnetic pro­ cesses. This area is still rapidly evolving with a wide spectrum of challenging issues featuring, among others, such problems as the proper choice of spatial discretizations (finite differences, finite elements, finite volumes, boundary elements), fast solvers for the discretized equations (multilevel techniques, domain decomposition methods, multipole, panel clustering), and multiscale aspects in microelectronics and micromagnetics.

• Magnetic field
• Maxwell' s equations
• Maxwell's equations
• boundary element methods
• computational electromagnetics
• domain decompostion
• edge elements
• electromagnetism
• finite integration technique
• micromagnetics
• modeling
• numerical methods
• simulation

• Department of Mathematical Sciences, University of Delaware, Newark, USA

  Peter Monk

• Institute for Applied Mathematics, Vienna University of Technology, Vienna, Austria

  Carsten Carstensen

• Institute of Mathematics, University of Erlangen-Nürnberg, Erlangen, Germany

  Stefan Funken

• Max-Planck-Institute for Mathematics in the Sciences, Liepzig, Germany

  Wolfgang Hackbusch

• Department of Mathematics, University of Augsburg, Augsburg, Germany

  Ronald H. W. Hoppe

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