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	Latest issue 2008 Vol.51 (Number 8) Aug. 10, 2008

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	1339	BAI Zhong-Zhi
		Several splittings for non-Hermitian linear systems
		For large sparse non-Hermitian positive definite system of linear equations, we present several variants of the Hermitian and skew-Hermitian splitting (HSS) about the coefficient matrix and establish correspondingly several HSS-based iterative schemes. Th...
		2008 Vol. 51 (8): 1339-1348 [Abstract ] ( 32 ) [HTML 0KB] [PDF 192KB ]( 0 )

	1349	CHEN ChuanMiao
		Analysis of extrapolation cascadic multigrid method (EXCMG)
		Based on an asymptotic expansion of finite element, a new extrapolation formula and extrapolation cascadic multigrid method (EXCMG) are proposed, in which the new extrapolation and quadratic interpolation are used to provide a better initi...
		2008 Vol. 51 (8): 1349-1360 [Abstract ] ( 17 ) [HTML 0KB] [PDF 232KB ]( 0 )

	1361	CHEN ShaoChun
		Interpolation theory of anisotropic finite elements and applications
		Interpolation theory is the foundation of finite element methods. In this paper, after reviewing some existed interpolation theorems of anisotropic finite element methods, we present a new way to analyse the interpolation error of anisotropic elements bas...
		2008 Vol. 51 (8): 1361-1375 [Abstract ] ( 18 ) [HTML 0KB] [PDF 246KB ]( 0 )

	1376	CHEN YanPing, HUANG YunQing amp and YI NianYu
		A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations
		In this paper, we investigate the Legendre Galerkin spectral approximation of quadratic optimal control problems governed by parabolic equations. A spectral approximation scheme for the parabolic optimal control problem is presented. We obtain a posterior...
		2008 Vol. 51 (8): 1376-1390 [Abstract ] ( 16 ) [HTML 0KB] [PDF 236KB ]( 0 )

	1391	CHEN ZhongYing, HE ChongNan, amp and WU Bin
		High order finite volume methods for singular perturbation problems
		In this paper we establish a high order finite volume method for the fourth order singular perturbation problems. In conjunction with the optimal meshes, the numerical solutions resulting from the method have optimal convergence order. Numerical experimen...
		2008 Vol. 51 (8): 1391-1400 [Abstract ] ( 24 ) [HTML 0KB] [PDF 198KB ]( 0 )

	1401	DAI Xiaoing, , YANG Zhang, amp and ZHOU Aihui
		Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions
		Based on a linear finite element space, two symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions are constructed and analyzed. Some relationships between the finite element method and the finite difference method are addressed, ...
		2008 Vol. 51 (8): 1401-1414 [Abstract ] ( 7 ) [HTML 0KB] [PDF 333KB ]( 0 )

	1415	DU Qiang amp, MING PingBing and
		Cascadic multigrid methods for parabolic problems
		In this paper, we consider the cascadic multigrid method for a parabolic type equation. Backward Euler approximation in time and linear finite element approximation in space are employed. A stability result is established under some condit...
		2008 Vol. 51 (8): 1415-1439 [Abstract ] ( 12 ) [HTML 0KB] [PDF 242KB ]( 0 )

	1440	DU ShaoHong, amp, XIE XiaoPing and
		Residual-based a posteriori error estimates of nonconforming finite element method for elliptic pro- blems with Dirac delta source terms
		Two residual-based a posteriori error estimators of the nonconforming Crouzeix-Raviart element are derived for elliptic problems with Dirac delta source terms. One estimator is shown to be reliable and efficient, which yields global upp...
		2008 Vol. 51 (8): 1440-1460 [Abstract ] ( 17 ) [HTML 0KB] [PDF 1754KB ]( 0 )

	1461	QIN LiZhen, SHI ZhongCi amp and XU XueJun
		On the convergence rate of a parallel nonover-lapping domain decomposition method
		In recent years, a nonoverlapping domain decomposition iterative procedure, which is based on using Robin-type boundary conditions as information transmission conditions on the subdomain interfaces, has been developed and analyzed. It is known that the co...
		2008 Vol. 51 (8): 1461-1478 [Abstract ] ( 8 ) [HTML 0KB] [PDF 276KB ]( 0 )

	1479	SHEN ZhiJun
		A cell-centered lagrangian scheme in two-dimensional cylindrical geometry
		A new Lagrangian cell-centered scheme for two-dimensional compressible flows in planar geometry is proposed by Maire et al. The main new feature of the algorithm is that the vertex velocities and the numerical fluxes through the cell inter...
		2008 Vol. 51 (8): 1479-1494 [Abstract ] ( 10 ) [HTML 0KB] [PDF 1134KB ]( 0 )

	1495	WU JinLong amp and LI TieJun
		Image segmentation by using the localized subspace iteration algorithm
		An image segmentation algorithm called "segmentation based on the localized subspace iterations" (SLSI) is proposed in this paper. The basic idea is to combine the strategies in Ncut algorithm by Shi and Malik in 2000 and the LSI by E, Li ...
		2008 Vol. 51 (8): 1495-1509 [Abstract ] ( 8 ) [HTML 0KB] [PDF 5204KB ]( 0 )

	1510	XIE ZhengHui, SONG LiYe, amp and FENG XiaoBing
		A moving boundary problem derived from heat and water transfer processes in frozen and thawed soils and its numerical simulation
		The seasonal change in depths of the frozen and thawed soils within their active layer is reduced to a moving boundary problem, which describes the dynamics of the total ice content using an independent mass balance equation and treats the soil frost/thaw...
		2008 Vol. 51 (8): 1510-1521 [Abstract ] ( 25 ) [HTML 0KB] [PDF 381KB ]( 0 )

	1537	ZHONG LiuQiang, , SHU Shi, , SUN DuDu amp and TAN Lin
		Preconditioners for higher order edge finite element discretizations of Maxwell’s equations
		In this paper, we are concerned with the fast solvers for higher order edge finite element discretizations of Maxwell’s equations. We present the preconditioners for the first family and second family of higher order Nédélec element equations, respecti...
		2008 Vol. 51 (8): 1537-1548 [Abstract ] ( 17 ) [HTML 0KB] [PDF 301KB ]( 0 )

	1549	ZHU Jun, amp and QIU JianXian
		A class of the fourth order finite volume Hermite weighted essentially non-oscillatory schemes
		In this paper, we developed a class of the fourth order accurate finite volume Hermite weighted essentially non-oscillatory (HWENO) schemes based on the work (Computers & Fluids, 34: 642―663 (2005)) by Qiu and Shu, with Total Variation Diminishing Ru...
		2008 Vol. 51 (8): 1549-1560 [Abstract ] ( 20 ) [HTML 0KB] [PDF 452KB ]( 0 )

	1522	YUAN GuangWei and SHENG ZhiQiang
		Calculating the vertex unknowns of nine point scheme on quadrilateral meshes for diffusion equation
		In the construction of nine point scheme, both vertex unknowns and cell-centered unknowns are introduced, and the vertex unknowns are usually eliminated by using the interpolation of neighboring cell-centered unknowns, which often leads to lose accuracy. ...
		2008 Vol. 51 (8): 1522-1536 [Abstract ] ( 14 ) [HTML 0KB] [PDF 579KB ]( 0 )

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