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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...
We propose a condition under which the heterogeneous multiscale 痭ite element method converges for elliptic problem with nonsmooth coe眂ients, and obtain the optimal convergence rate for elliptic prob...
Uniform Convergence of Godunov Schemes on Moving Meshes for Dynamical Boundary Layers 。
In this paper, several discrete schemes for Gaussian curvature are sur- veyed. The convergence property of a modi痚d discrete scheme for the Gaussian curvature is proved. Furthermore, a new discrete ...
We propose a discrete approximation of the Gaussian curvature over quadrilateral meshes using a linear combination of two angle de痗its. Suppose a surface mesh is obtained from a sampling of a smooth...
We study a force-based hybrid method that couples atomistic model with Cauchy-Born elasticity model. We show the proposed scheme converges to the solution of the atomistic model with second order accu...
In this paper, we study Gaussian multiplicative chaos in the critical case. We show that the so-called derivative martingale, introduced in the context of branching Brownian motions and branching rand...
In a planar infinite strip with fast periodically oscillating boundary we consider an elliptic operator assuming that both the period and the amplitude of the oscillations are small. On the oscillatin...
We consider two Large Eddy Simulation (LES) models for the approximation of large scales of the equations of Magnetohydrodynamics (MHD in the sequel). We study two $\alpha$-models, which are obtained ...
This paper is concerned with a Yamabe-type flow for compact Riemannian manifolds with boundary. The convergence of this flow is established if the manifold with boundary satisfies either a generic con...
We prove a vector-valued version of Carleson's theorem: Let Y=[X,H]_t be a complex interpolation space between a UMD space X and a Hilbert space H. For p\in(1,\infty) and f\in L^p(T;Y), the partial su...
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...
A Gamma-convergence approach to large deviations     Gamma-convergence  large deviations  Probability       font style='font-size:12px;'> 2012/4/18
A rigorous connection between large deviations theory and Gamma-convergence is established. Applications include representations formulas for rate functions, a contraction principle for measurable map...
We study the problem of achieving average consensus between a group of agents over a network with erasure links. In the context of consensus problems, the unreliability of communication links between ...
We propose a general method for predicting potentially good folders from a given number of amino acid sequences. Our approach is based on the calculation of the rate of convergence of each amino acid ...

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