Start vector generation for implicit Newmark time integration of the wave equation. Skarlatos, A., Clemens, M., & Weiland, T. IEEE Transactions on Magnetics, 42(4):631–634, IEEE, 2006. doi abstract bibtex Different extrapolation strategies are presented for the construction of starting values in implicit Newmark time-stepping schemes used for the solution of the electromagnetic wave equation. The implicit character of this schemes implies the solution of a system of linear equations in each time step. The choice of a good start value derived from the extrapolation of the equation system is shown to improve the convergence of the iterative conjugate gradient solver which reduces the total simulation time
@Article{ Skarlatos_2006aa,
abstract = {Different extrapolation strategies are presented for the construction of starting values in implicit Newmark time-stepping schemes used for the solution of the electromagnetic wave equation. The implicit character of this schemes implies the solution of a system of linear equations in each time step. The choice of a good start value derived from the extrapolation of the equation system is shown to improve the convergence of the iterative conjugate gradient solver which reduces the total simulation time},
author = {Skarlatos, A. and Clemens, M. and Weiland, T.},
doi = {10.1109/TMAG.2006.872008},
file = {Skarlatos_2006aa.pdf},
issn = {0018-9464},
journal = {IEEE Transactions on Magnetics},
keywords = {wave,newmark,second-order},
langid = {english},
number = {4},
pages = {631--634},
publisher = {IEEE},
title = {Start vector generation for implicit Newmark time integration of the wave equation},
volume = {42},
year = {2006},
shortjournal = {IEEE Trans. Magn.}
}
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