Results 31 to 40 of about 4,651 (187)
Supercloseness of Orthogonal Projections onto Nearby Finite Element Spaces [PDF]
, 2014 We derive upper bounds on the difference between the orthogonal projections of a smooth function $u$ onto two finite element spaces that are nearby, in the sense that the support of every shape function belonging to one but not both of the spaces is ...
Gawlik, Evan S., Lew, Adrian J.
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Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations [PDF]
, 2012 We consider an initial-boundary value problem for $\partial_tu-\partial_t^{-\alpha}\nabla^2u=f(t)$, that is, for a fractional diffusion ...
Eriksson K. +2 more
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Low order nonconforming finite element method for time-dependent nonlinear Schrödinger equation
Boundary Value Problems, 2018 The main aim of this paper is to apply a low order nonconforming EQ1rot $\mathit{EQ}_{1}^{\mathrm{rot}}$ finite element to solve the nonlinear Schrödinger equation. Firstly, the superclose property in the broken H1 $H^{1}$-norm for a backward Euler fully-
Chao Xu +3 more
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The conformal window in QCD and supersymmetric QCD [PDF]
, 1999 In both QCD and supersymmetric QCD (SQCD) with N_f flavors there are conformal windows where the theory is asymptotically free in the ultraviolet while the infrared physics is governed by a non-trivial fixed-point.
Gardi, Einan, Grunberg, Georges
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Superconvergent Non-Polynomial Approximations
CoRR, 2020 In this paper, we introduce a superconvergent approximation method that employs radial basis functions (RBFs) in the numerical solution of conservation laws. The use of RBFs for interpolation and approximation is a well developed area of research.
Andrew J. Christlieb +2 more
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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
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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
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Advances in Mathematical Physics, 2022 In this paper, we consider semidiscrete splitting positive definite mixed finite element methods for optimal control problems governed by hyperbolic equations with integral constraints.
Yuchun Hua, Yuelong Tang
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Adaptive variational discretization approximation method for parabolic optimal control problems
Journal of Inequalities and Applications, 2020 In this paper, we study variational discretization method for parabolic optimization problems. Firstly, we obtain some convergence and superconvergence analysis results of the approximation scheme.
Yuelong Tang, Yuchun Hua
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A posteriori error estimates based on superconvergence of FEM for fractional evolution equations
Open Mathematics, 2021 In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The
Tang Yuelong, Hua Yuchun
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