A comparison theorem concerning the regularity of Brikhoff interpolation is given. As an application of this theorem the regularity of (0,1,...,p - 1, p + 1,...,M - 1, q) interpolation (0 < p < M less-than-or-eq...
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A comparison theorem concerning the regularity of Brikhoff interpolation is given. As an application of this theorem the regularity of (0,1,...,p - 1, p + 1,...,M - 1, q) interpolation (0 < p < M less-than-or-equal-to q) is characterized.
An optimal order of the multigrid method is given in energy-norm for the nonconforming finite element for solving the biharmonic equation, by using the nodal interpolation operator as the transfer operator between grids.
An optimal order of the multigrid method is given in energy-norm for the nonconforming finite element for solving the biharmonic equation, by using the nodal interpolation operator as the transfer operator between grids.
A method for construction of a preconditioner for the capacitance matrix on the interface is described. The preconditioner is determined by a subdomain covering the interface, and the condition number of the precondit...
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A method for construction of a preconditioner for the capacitance matrix on the interface is described. The preconditioner is determined by a subdomain covering the interface, and the condition number of the preconditioned matrix is dependent on the width of the covering subdomain and independent of the discrete mesh size and discontinuity of the coefficients of the differential operator. Some applications of our theory are presented at last.
A fast algorithm for evaluating and displaying bivariate splines in a three direction is presented based on two-level transfomation of the corresponding B-splines. The efficiency has been shown by experiments of surfa...
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A fast algorithm for evaluating and displaying bivariate splines in a three direction is presented based on two-level transfomation of the corresponding B-splines. The efficiency has been shown by experiments of surface modelling design[5].
A necessary and sufficient condition of regularity of (0,1,…, m - 2, m) interpo-lation on the zeros of the Laguerre polynomials Ln(α) (x) (α≥ -1) in a manageable form is established. Meanwhile, the explicit repres...
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A necessary and sufficient condition of regularity of (0,1,…, m - 2, m) interpo-lation on the zeros of the Laguerre polynomials Ln(α) (x) (α≥ -1) in a manageable form is established. Meanwhile, the explicit representation of the fundamental polynomials, when they exist, is given. Moreover, it is shown that, if the problem of (0,1,…, m - 2, TO) interpolation has an infinity of solutions, then the general form of the solutions is f0(x) + Cf1(x) with an arbitrary constant C.
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