Results 31 to 40 of about 81,392 (265)
A priori error estimates of the DtN-FEM for the transmission problem in acoustics
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Hongrui Geng, Tao Yin, Liwei Xu
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A Priori L 2-Error Estimates for Approximations of Functions on Compact Manifolds [PDF]
Given a { mathcal{C}^{2}} -function f on a compact riemannian manifold (X,g) we give a set of frequencies { L=L_{f}(varepsilon)} depending on a small parameter { varepsilon > 0} such that the relative L2-error { frac{f-f^{L} }{f}} is bounded above by { varepsilon}, where fL denotes the L-partial sum of the Fourier series f with respect to an ...
Marín Pérez, David +1 more
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A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations
A kind of new mixed element method for time-fractional partial differential equations is studied. The Caputo-fractional derivative of time direction is approximated by two-step difference method and the spatial direction is discretized by a new mixed ...
Yang Liu +4 more
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ABSTRACT Background Cognitive impairment is a common non‐motor symptom in Multiple Sclerosis (MS), negatively affecting autonomy and Quality of Life (QoL). Innovative rehabilitation strategies, such as semi‐immersive virtual reality (VR) and computerized cognitive training (CCT), may offer advantages over traditional cognitive rehabilitation (TCR ...
Maria Grazia Maggio +8 more
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We propose and analyze a new numerical method, called a coupling method based on a new expanded mixed finite element (EMFE) and finite element (FE), for fourth-order partial differential equation of parabolic type.
Yang Liu +4 more
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A Note on Estimation for the First Order Autoregressive Process [PDF]
The asymptotic estimation of the parameters of the first order stationary autoregressive process with zero mean is investigated. The exact and the asymptotic Bayes esti- mates of the weight and the error variance parameters are derived for different ...
A.M. Abouammoh, A.A. Abd-Alla
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In this paper, a fully discrete interpolated coefficient characteristic finite element approximation is proposed for optimal control problems governed by time-dependent semilinear convection–diffusion equations, where the hyperbolic part of the state ...
Xiaowu Li, Yuelong Tang
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A priori and a posteriori error estimates for the quad-curl eigenvalue problem
In this paper, we consider a priori and a posteriori error estimates of the H(curl2)-conforming finite element when solving the quad-curl eigenvalue problem. An a priori estimate of eigenvalues with convergence order 2(s − 1) is obtained if the corresponding eigenvector u ∈ Hs − 1(Ω) and ∇ × u ∈ Hs(Ω).
Lixiu Wang +3 more
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ABSTRACT Background and Purpose White matter hyperintensities (WMH) are a core neuroimaging marker of cerebral small vessel disease (CSVD). Sleep apnoea (SA) is a recognized vascular risk factor, but its associations with regional WMH burden, short‐interval WMH change and cognitive performance in population‐based cohorts remain incompletely defined. We
Peng Cheng +4 more
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For the Steklov eigenvalue problem, we establish a type of multigrid discretizations based on the fixed-shift inverse iteration and study in depth its a priori/a posteriori error estimates.
Feiyan Li, Hai Bi
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