Nonoverlapping Schwarz Waveform Relaxation Algorithm for a Class of Time-Fractional Heat Equations

• Autorzy: Wu S.-L. , Wu G.-C.

Identyfikatory

DOI

10.3233/FI-2017-1489

• Języki publikacji: EN

Abstrakty

EN

In this paper, we analyze the convergence properties of the Schwarz waveform relaxation (SWR) algorithm with Robin transmission conditions (TCs) for a class of heat equations with Riemann-Liouville fractional derivative. The Robin TCs contain a free parameter, which has a significant effect on the convergence rate of the SWR algorithm, and optimizing this parameter is an important step for the convergence analysis of the SWR algorithm. By studying the monotonic properties of the convergence factor obtained by applying the Fourier transform to the error functions, we provide a realiable choice of the Robin parameter in the nonoverlapping case. Numerical results are provided, which show that the analyzed Robin parameter results in satisfactory convergence rate.

Słowa kluczowe

EN

Schwarz waveform relaxation; fractional heat equations; parameter optimization

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2017
• Tom: Vol. 151, nr 1/4
• Strony: 231--240
• Opis fizyczny: Bibliogr. 18 poz., wykr.

Twórcy

autor

Wu S.-L.

• School of Science, Sichuan University of Science and Technology, Zigong 643000, Sichuan, P. R. China

autor

Wu G.-C.

• Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, Sichuan, P. R. China

Bibliografia

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