Results 31 to 40 of about 81,423 (165)
A Priori L 2-Error Estimates for Approximations of Functions on Compact Manifolds [PDF]
Mediterranean Journal of Mathematics, 2014 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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Results in Applied Mathematics, 2023 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 error estimates of the DtN-FEM for the transmission problem in acoustics
Journal of Computational and Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongrui Geng, Tao Yin, Liwei Xu
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A New Mixed Element Method for a Class of Time-Fractional Partial Differential Equations
The Scientific World Journal, 2014 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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A priori and a posteriori error estimates for the quad-curl eigenvalue problem
ESAIM: Mathematical Modelling and Numerical Analysis, 2022 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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Advances in Mathematical Physics, 2013 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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Advances in Mathematical Physics, 2016 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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A Note on Estimation for the First Order Autoregressive Process [PDF]
The Egyptian Statistical Journal, 1987 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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A priori error estimates for a linearized fracture control problem [PDF]
Optimization and Engineering, 2020 AbstractA control problem for a linearized time-discrete regularized fracture propagation process is considered. The discretization of the problem is done using a conforming finite element method. In contrast to many works on discretization of PDE constrained optimization problems, the particular setting has to cope with the fact that the linearized ...
Mohammadi, Masoumeh, Wollner, Winnifried
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Journal of Inequalities and Applications, 2017 In this paper, a semidiscrete finite element method for solving bilinear parabolic optimal control problems is considered. Firstly, we present a finite element approximation of the model problem.
Yuelong Tang, Yuchun Hua
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