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ON UNIFORM CONVERGENCE THEORY OF LOCAL MULTIGRID METHODS IN H1(Ω) AND H(curl,Ω)
Maxwell’s equations Lagrangian finite elements edge elements local multigridmethod successive subspace correction
2012/8/10
We consider the convergence theory of local multigrid methods for H1()-elliptic
and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest
order conforming fin...
Uniform Convergence of Godunov Schemes on Moving Meshes for Dynamical Boundary Layers
Convergence rate moving mesh method convection-dominated equation Godunov scheme
2012/8/8
Uniform Convergence of Godunov Schemes on Moving Meshes for Dynamical Boundary Layers 。
Uniform Convergence and Rate Adaptive Estimation of a Convex Function
Adaptive estimate B-splines convex regression minimax risk
2012/5/9
This paper addresses the problem of estimating a convex regression function under both the sup-norm risk and the pointwise risk using B-splines. The presence of the convex constraint complicates vario...
Uniform convergence analysis of an upwind finite difference approximations of an homogenous singularly perturbed boundary value problem using grid equidistribution
singular perturbation adaptive grid rate of convergence error estimate
2011/10/13
We derive varepsilon-uniform error estimates for two first-order upwind discretizations of a model inhomogeneous, second-order, singularly perturbed boundary value problem on a non-uniform grid. Here,...
Uniform convergence of Schwarz method for variational inequalities
Schwarz method Variational inequalities L∞-error estimates
2010/9/20
In this paper we study variational inequalities using the Schwarz method. The main idea of this method consists in decomposing the domain in two subdomains. We give a simple proof for the main result ...
On improvement of uniform convergence of Lagrange interpolation polynomials
Lagrange interpolation polynomial uniform convergence
2010/9/14
Due to the Lagrange interpolation polynomials do not converge uniformly to arbitrary continuous functions, in this paper, a new interpolation polynomial is constructed by using the weighted average me...
Pointwise Convergence and Uniform Convergence of Wavelet Frams Series
Wavelet frame series Wavelet orthonormal basis Uniform onvergence Pointwise convergence
2007/12/12
Pointwise convergence and uniform convergence for wavelet frame series is a new topic. With the help of band-limited dual wavelet frames, this topic is first researched.
Global-in-time Uniform Convergence for Linear Hyperbolic-Parabolic Singular Perturbations
Parabolic equations Damped hyperbolic equations Singular perturbations
2007/12/12
We consider the Cauchy problem ${\varepsilon}{u_{\ep}}''+\delta{u_{\ep}}'+A{u_{\varepsilon}}=0,$ ${u_{\varepsilon}}(0)=u_0, $ ${u_{\varepsilon}}'(0)=u_{1},$ where ${\varepsilon}>0$, $\delta>0$, $H$ is...
Consider the partly linear regression model y_i = x'_iβ + g(t_i) + ε_i, 1 ≤ i ≤ n, where y_i's are responses, x_i = (x_i1,x_i2,…,x_ip)＇ and t_i ∈ Τ are known and nonrandom design Τ is a compact set in...