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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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