LEAST-SQUARES GALERKIN PROCEDURE FOR SECOND-ORDERHYPERBOLIC EQUATIONS

Hui GUO; Hongxing RUI; Chao LIN

doi:10.1007/s11424-010-8015-y

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系统科学与复杂性(英文) ›› 2011, Vol. 24 ›› Issue (2) : 381-393. DOI: 10.1007/s11424-010-8015-y

论文

LEAST-SQUARES GALERKIN PROCEDURE FOR SECOND-ORDERHYPERBOLIC EQUATIONS

Hui GUO(1), Hongxing RUI(2), Chao LIN(1)

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LEAST-SQUARES GALERKIN PROCEDURE FOR SECOND-ORDERHYPERBOLIC EQUATIONS

Hui GUO(1), Hongxing RUI(2), Chao LIN(1)

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摘要

This paper proposes the least-squares Galerkin finite element scheme to solve second-order hyperbolic equations. The convergence analysis shows that the method yields the approximate solutions with optimal accuracy in

(L^{2} (Ω))^{2} \times L^{2} (Ω)

norms. Moreover, the method
gets the approximate solutions with second-order accuracy in time increment. A numerical example testifies the efficiency of the novel scheme.

Abstract

(L^{2} (Ω))^{2} \times L^{2} (Ω)

norms. Moreover, the method
gets the approximate solutions with second-order accuracy in time increment. A numerical example testifies the efficiency of the novel scheme.

导出引用

Hui GUO , Hongxing RUI , Chao LIN. LEAST-SQUARES GALERKIN PROCEDURE FOR SECOND-ORDERHYPERBOLIC EQUATIONS. 系统科学与复杂性(英文), 2011, 24(2): 381-393 https://doi.org/10.1007/s11424-010-8015-y

Hui GUO , Hongxing RUI , Chao LIN. LEAST-SQUARES GALERKIN PROCEDURE FOR SECOND-ORDERHYPERBOLIC EQUATIONS. Journal of Systems Science and Complexity, 2011, 24(2): 381-393 https://doi.org/10.1007/s11424-010-8015-y

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收稿日期	修回日期	出版日期
2008-01-07	1900-01-01	2011-04-25
发布日期
2011-04-25

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