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Choosing the relaxation parameter for the solution of nonlinear magnetic field problems by the newton-raphson method (1995).
| Content Provider | CiteSeerX |
|---|---|
| Author | O.'Dwyer, Jeremiah O.'Donnell, Terence |
| Abstract | The use of the modified Newton method for the solution of nonlinear magnetostatic problems arising from the vector potential Finite Element analysis is investigated. In particular the optimum choice of the relaxation factor ff is investigated. A new method is developed for determining the relaxation factor which minimizes the energy functional in the direction along the solution update at each nonlinear iteration. This method is based on approximating the functional with a fourth order polynomial. In this way the optimum relaxation factor can be quickly determined with the minimum number of extra function evaluations. This choice of ff is compared to choosing the relaxation factor which minimizes the residual norm at each iteration. The modified Newton methods are compared to the standard Newton-Raphson method for the solution of 2D and 3D problems. For problems involving saturated iron parts convergence rates are greatly improved by use of the modified Newton methods. Of the two metho... |
| File Format | |
| Publisher Date | 1995-01-01 |
| Access Restriction | Open |
| Subject Keyword | Relaxation Parameter Nonlinear Magnetic Field Problem Modified Newton Method Newton-raphson Method Relaxation Factor Residual Norm Nonlinear Magnetostatic Problem Standard Newton-raphson Method Optimum Relaxation Factor Minimum Number New Method Vector Potential Finite Element Analysis Nonlinear Iteration Energy Functional Optimum Choice Extra Function Evaluation Solution Update Relaxation Factor Ff Fourth Order Polynomial Iron Part Convergence Rate |
| Content Type | Text |
