Properties of b- and h-type integral equation formulations

Various options to establish integral equation formulations for solving nonlinear problems are studied in connection with Whitney forms. Several alternatives to implement the corresponding numerical procedures are presented. Numerical results are given demonstrating typical features of the different options.

[1]  A. Bossavit Whitney forms: a class of finite elements for three-dimensional computations in electromagnetism , 1988 .

[2]  Static magnetic field analyses by integral method using magnetization with normal continuity in shell structure , 1995 .

[3]  Lauri Kettunen,et al.  A volume integral formulation for nonlinear magnetostatics and eddy currents using edge elements , 1992 .

[4]  W. Gropp,et al.  Volume integral equations in non‐linear 3‐D magnetostatics , 1995 .

[5]  L. Kettunen,et al.  Performance of a nonlinear 2D and 3D magnetostatic volume integral formulation , 1995 .

[6]  Lin Han,et al.  Integral equation method using total scalar potential for the simulation of linear or nonlinear 3D magnetostatic field with open boundary , 1994 .

[7]  A. Bossavit,et al.  Magnetostatic problems in multiply connected regions: some properties of the curl operator , 1988 .

[8]  L. R. Turner,et al.  GFUN: an interactive program as an aid to magnet design. , 1972 .

[9]  R. Albanese,et al.  Integral formulation for 3D eddy-current computation using edge elements , 1988 .

[10]  Hybrid and integral formulations for 3D eddy current problems , 1997 .

[11]  M. Koizumi,et al.  A new vector element in the volume integral equation method for nonlinear magnetostatics , 1995 .

[12]  Mark J. Friedman Mathematical Study of the Nonlinear Singular Integral Magnetic Field Equation. I , 1980 .

[14]  Antonino Musolino,et al.  Integral formulation for nonlinear magnetostatic and eddy currents analysis , 1994 .