Results 31 to 40 of about 4,597 (168)
Quadratic/linear rational spline interpolation
Mathematical Modelling and Analysis, 2013 We describe the construction of an interpolating quadratic/linear rational spline S of smoothness class C 2 for a strictly convex (or strictly concave) function y on [a, b].
Erge Ideon, Peeter Oja
doaj +1 more source
AIMS MathematicsThis study investigated the point-wise superconvergence of block finite elements for the variable coefficient elliptic equation in a regular family of rectangular partitions of the domain in three-dimensional space. Initially, the estimates for the three-
Jinghong Liu , Qiyong Li
doaj +1 more source
Mathematics, 2023 In this paper, the unconditional superconvergence error analysis of the semi-implicit Euler scheme with low-order conforming mixed finite element discretization is investigated for time-dependent Navier–Stokes equations.
Xiaoling Meng, Huaijun Yang
doaj +1 more source
Global superconvergence of the lowest order mixed finite element on mildly structured meshes
, 2018 In this paper, we develop global superconvergence estimates for the lowest order Raviart--Thomas mixed finite element method for second order elliptic equations with general boundary conditions on triangular meshes, where most pairs of adjacent triangles
Li, Yuwen
core +1 more source
Analysis of stabilized finite volume method for poisson equation
Mathematical Modelling and Analysis, 2013 In this work, we systematically analyze a stabilized finite volume method for the Poisson equation. On stating the convergence of this method, optimal error estimates in different norms are obtained by establishing the adequate connections between the ...
Tong Zhang, Pengzhan Huang, Shunwei Xu
doaj +1 more source
Superconvergent interpolatory HDG methods for reaction diffusion equations I: An HDG$_{k}$ method
, 2019 In our earlier work [8], we approximated solutions of a general class of scalar parabolic semilinear PDEs by an interpolatory hybridizable discontinuous Galerkin (Interpolatory HDG) method.
Chen, Gang +3 more
core +2 more sources
Superconvergence of kernel-based interpolation [PDF]
Journal of Approximation Theory, 2018 It is well-known that univariate cubic spline interpolation, if carried out on point sets with fill distance $h$, converges only like ${\cal O}(h^2)$ in $L_2[a,b]$ for functions in $W_2^2[a,b]$ if no additional assumptions are made. But superconvergence up to order $h^4$ occurs if more smoothness is assumed and if certain additional boundary conditions
openaire +3 more sources
International Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.ABSTRACT FETI‐DP is a mature domain decomposition algorithm that has been successfully applied to different problems, demonstrating impressive performance. To be effective, the algorithm needs to be equipped with different technicalities that somewhat complicate its implementation.
José A. González +4 more
wiley +1 more source
Superconvergent Perturbation Method in Quantum Mechanics [PDF]
Physical Review Letters, 1995 An analogue of Kolmogorov's superconvergent perturbation theory in classical mechanics is constructed for self adjoint operators. It is different from the usual Rayleigh--Schr dinger perturbation theory and yields expansions for eigenvalues and eigenvectors in terms of functions of the perturbation parameter.
openaire +4 more sources
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal +5 more
wiley +1 more source