Projection Framework for Hybrid Methods Derived From Finite-Difference Operators in Time and Frequency Domain

Wiktor, M.; Mrozowski, Michał

doi:10.1109/tmtt.2007.906538

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Algorithm Based On Legendre Polynomials1

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Cited by 4 publications

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“…Within each block, elements defined in (6) are placed. In such a convection, curl operator for magnetic field is a transpose of R. This makes time domain scheme, derived from (5), in a way described in [9], unconditionally stable, and the time step must satisfy following inequality:…”

Section: Algorithm Based On Legendre Polynomialsmentioning

confidence: 99%

Spatial discretization scheme based on Legendre polynomials for time and frequency domain analysis

Wiktor¹

2010

15th Conference on Microwave Techniques COMITE 2010

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The algorithm operating in time and frequency domain, similar to multiresolution analysis is presented. Instead of wavelets, orthogonal, compactly supported Legendre polynomials were used for discretization of curl operator. The resulting scheme has low numerical dispersion, compared to finite difference method, and implementation of perfect boundary conditions is easier, contrary to waveletbased algorithms. The algorithm can be easily joined with finite difference method inside a single computational domain. This hybrid algorithm allow to reduce computational domain size and take advantage of different techniques developed for finite difference method.

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Section: Algorithm Based On Legendre Polynomialsmentioning

confidence: 99%