## Abstract We study a nonlinear degenerate partial differential equation strongly motivated by the modelling of processes in typeβII superconductors in a bounded domain along with appropriate boundary conditions. We design a robust and efficient linear approximation scheme based on fixβpoint princ
A network method for nonlinear transient eddy current problems
β Scribed by Wong, C. C.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1987
- Tongue
- English
- Weight
- 447 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0748-8025
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β¦ Synopsis
Maxwell's curl equations for a conducting region are simulated by the impedance network. A set of simultaneous first-order ordinary differential equations is developed for the network which can be used to solve linear or nonlinear, transient or static eddy current problems. The resulting set of equations is solved by the explicit fourth order Runge-Kutta method and in some cases by an implicit method based on the central difference scheme for time discretization. A number of examples, including eddy current losses in a saturated steel plate, are described to illustrate the applications of the method. It is found that the explicit method is more suitable for nonlinear problems, whereas the implicit method is more efficient for linear problems.
π SIMILAR VOLUMES
In this paper, we present a new method for solving nonlinear multicommodity network flow problems with convex objective functions. This method combines a well-known projected Jacobi method and a new dual projected pseudo-quasi-Newton (DPPQN) method which solves multicommodity flow quadratic subprobl
## Abstract We describe a technique for measuring the time dependence and field distortions of magnetic fields due to eddy currents (EC) produced by timeβdependent magnetic field gradients. The EC measuring technique uses a sample with short T~1~,T~2~ and many rf excitation pulses and free inductio