Accuracy improvement of 1D Yee’s scheme by the mesh thickening method

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Abstract

A procedure for recurrent increasing of the order of accuracy is described for the FDTD method. This approach does not require any modification of the standard equations. As a test problem, Gaussian pulse propagation in free space is considered. Calculations with increasing of the accuracy order up to six are performed. A posteriori asymptotically precise error estimate for the numerical solution is obtained.

About the authors

Zh. O. Dombrovskaya

Faculty of Physics

Author for correspondence.
Email: dombrovskaya@physics.msu.ru
Russian Federation, Moscow, 119991

A. N. Bogolyubov

Faculty of Physics

Email: dombrovskaya@physics.msu.ru
Russian Federation, Moscow, 119991

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