Multiple right-hand side techniques for the numerical simulation of quasistatic electric and magnetic fields |
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Authors: | Markus Clemens Moritz HeliasThorsten Steinmetz Georg Wimmer |
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Institution: | Helmut-Schmidt-Universität, Universität der Bundeswehr Hamburg, Theoretische Elektrotechnik und Numerische Feldberechnung, Holstenhofweg 85, D-22043 Hamburg, Germany |
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Abstract: | The simulation of slowly varying transient electric high-voltage fields and magnetic fields requires the repeated and successive solution of high-dimensional linear algebraic systems of equations with identical or near-identical system matrices and different right-hand side vectors. For these solution processes which are required within implicit time integration schemes and nonlinear (quasi-)Newton–Raphson methods an iterative multiple right-hand side (mrhs) scheme is used which recycles vector subspaces resulting from previous preconditioned conjugate gradient iteration runs. The combination of this scheme with a subspace projection extrapolation start value generation scheme is discussed. Numerical results for three-dimensional electric and magnetic field simulations are presented and the efficiency of the new schemes re-using eigenvector information from previous iteration processes with different tolerance criteria are compared to those of standard conjugate gradient iterations. |
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Keywords: | 02 60 Cb 02 60 Dc 02 70 &minus c 98 35 Eg |
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