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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.1
- 수록면
- 295 - 305 (11page)
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초록· 키워드
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In this paper, we analyze the efficiency of a domain decomposition method for the two-dimensional telegraph equations. We formulate the theoretical spectral radius of the iteration matrix generated by the domain decomposition method, because the rate of convergence of an iterative algorithm depends on the spectral radius of the iteration matrix. The theoretical spectral radius is confirmed by the experimental one using MATLAB. Speedup and operation ratio of the domain decomposition method are also compared as the two measurements of the efficiency of the method. Numerical results support the high efficiency of the domain decomposition method.
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등록된 정보가 없습니다.
참고문헌 (11)
참고문헌 신청
W.F. Ames / 1992 / Numerical methods for partial differential equations / Academic Press
M. Asif / 2020 / A Haar wavelet collocation approach for solving one and two-dimensional second-order linear and nonlinear hyperbolic telegraph equations / Numer. Methods Partial Differential Equations 36:1962~1981
M. Aslefallah / 2019 / Application of the singular boundary method to the two-dimensional telegraph equation on arbitrary domains / J. Engrg. Math 118:1~14
R.L. Burden / 2005 / t Numerical Analysis / Thomson Brooks/Cole
M. Dehghan / 2012 / A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation / Math. Methods Appl. Sci 35:1220~1233
M. Asif / 2020 / A Haar wavelet collocation approach for solving one and two-dimensional second-order linear and nonlinear hyperbolic telegraph equations / Numer. Methods Partial Differential Equations 36:1962~1981
M. Aslefallah / 2019 / Application of the singular boundary method to the two-dimensional telegraph equation on arbitrary domains / J. Engrg. Math 118:1~14
R.L. Burden / 2005 / t Numerical Analysis / Thomson Brooks/Cole
M. Dehghan / 2012 / A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation / Math. Methods Appl. Sci 35:1220~1233
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