scholarly journals Efficient rational Chebyshev pseudo-spectral method with domain decomposition for optical waveguides modal analysis

2016 ◽  
Vol 24 (10) ◽  
pp. 10495 ◽  
Author(s):  
Amgad Abdrabou ◽  
A. M. Heikal ◽  
S. S. A. Obayya
Keyword(s):  
Domain Decomposition ◽  
Modal Analysis ◽  
Spectral Method ◽  
Optical Waveguides ◽  
Pseudo Spectral Method ◽  
Pseudo Spectral ◽  
Rational Chebyshev

The Coupling of Pseudo-Spectral Method and Domain Decomposition Method for the Elastostatic Problem

2014 ◽  
Vol 580-583 ◽  
pp. 3071-3074
Author(s):  
Rui Ding ◽  
Fu Jun Chen ◽  
Quan Shen ◽  
Ling Liu
Keyword(s):  
Domain Decomposition ◽  
Spectral Method ◽  
Decomposition Method ◽  
Original Problem ◽  
Domain Decomposition Method ◽  
Partition Of Unity ◽  
High Accuracy ◽  
Pseudo Spectral Method ◽  
Pseudo Spectral ◽  
Elastostatic Problem

It presents the coupling of Pseudo-spectral method (PS) and domain decomposition method (DDM) for the elastostatic problem. First, the original problem is decomposed into several sub-problems by DDM. Next combining the advantage of easy programming and high accuracy of Pseudo-spectral method, we can solve these sub-problems in parallel by PS. Finally the global numerical solution is obtained by the partition of unity approximation. Some numerical experiments illustrate the effectiveness and accuracy of our method.

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