Title :
Subspace projection extrapolation scheme for transient field simulations
Author :
Clemens, Markus ; Wilke, Markus ; Schuhmann, Rolf ; Weiland, Thomas
Author_Institution :
Inst. fur Theorie Elektromagnetischer Felder, Tech. Univ. Darmstadt, Germany
fDate :
3/1/2004 12:00:00 AM
Abstract :
A subspace projection extrapolation (SPE) scheme is introduced for the start vector generation for the iterative solution of the algebraic systems of equations resulting from implicit time integration schemes for electromagnetic discrete field formulations. The SPE scheme yields optimal linear combinations from multiple available start vectors. Spectral components of the exact solution contained therein are optimally resolved which causes subsequently started conjugate gradient (CG) methods to converge according to a reduced effective condition number similar to deflated CG methods. Numerical tests show a significant improvement in numerical efficiency with the SPE scheme in comparison to established extrapolation methods.
Keywords :
conjugate gradient methods; electromagnetic fields; extrapolation; iterative methods; CG methods; SPE; algebraic systems; algorithms; conjugate gradient; convergence of numerical methods; eddy currents; electromagnetic discrete field formulations; electromagnetic transient analysis; exact solution; extrapolation methods; implicit time integration schemes; iterative solution; multiple available start vectors; numerical efficiency; optimal linear combinations; reduced effective condition number; spectral components; start vector generation; subspace projection extrapolation scheme; transient field simulations; Character generation; Convergence of numerical methods; Electromagnetic fields; Electromagnetic transients; Equations; Extrapolation; Iterative methods; Taylor series; Testing; Vectors;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2004.824583