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SPECTRAL CONVERGENCE ON DEGENERATING SURFACES
SPECTRAL DEGENERATING SURFACES
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2015/12/17
The study of the spectrum of the Laplace operator has produced an extensive literature. (See [Cha] and the references therein.) Of special interest to recent applications has been the behavior of spec...
Convergence Rates of AFEM with H−1 Data
AFEM Convergence Rates
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2015/12/11
This paper studies Adaptive Finite Element Methods (AFEMs), based on piecewise liear elements and newest vertex bisection, for solving second order elliptic equations with
piecewise constant coeʂ...
QUASI-OPTIMAL CONVERGENCE RATE OF AN ADAPTIVE DISCONTINUOUS GALERKIN METHOD
Discontinuous Galerkin interior penalty nonconforming meshes
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2015/12/11
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric
second order linear elliptic operators. The method is formulated on nonconforming meshes made
of simplices or q...
DESIGN AND CONVERGENCE OF AFEM IN H(DIV)
A posteriori error estimate error reduction
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2015/12/11
We design an adaptive finite element method (AFEM) for mixed boundary value problems associated with the differential operator A − ∇div in H(div,Ω). For A being a
variab...
CONVERGENCE OF MOMENTS FOR DISPERSING BILLIARDS WITH CUSPS
Chaos decay of correlations Central Limit Theorem
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2015/9/29
Dispersing billiards with cusps are deterministic dnamical systems with a mild degree of chaos, exhibiting “intermittent” behavior that alternates between regular and chaotic paterns.
RATES OF CONVERGENCE FOR RANDOM APPROXIMATIONS OF CONVEX SETS
PACKING NUMBERS POLAR SET
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2015/8/20
The Hausdorff distance between a compact convex set K CRd and random sets
K c lRd iS studied. Basic inequalities are derived for the case of K being a convex
subset of K. If applied to special seq...
On quantitative convergence to quasi-stationarity
Quantitative convergence
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2015/7/7
On quantitative convergence to quasi-stationarity。
Convergence of Semi-discrete Stationary Wigner Equation with Inflow Boundary Conditions
Stationary Wigner equation inflow boundary conditions well-posedness
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2014/10/10
Making use of the Whittaker-Shannon interp olation formula w ith shifted sampling p oints, we prop ose in this pap e r a well-p osed semi-discretization of the stationary Wigner equation with inflow B...
Strong Convergence of a New Three Step Iterative Scheme in Banach Spaces
Fixed Point Various Iterative Schemes Rate of Convergence
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2013/1/30
In this paper, we suggest a new type of three step iterative scheme called the CR iterative scheme and study the strong convergence of this iterative scheme for a certain class of quasi-contractive op...
An Extended Multistep Shanks Transformation and Convergence Acceleration Algorithm With Their Convergence and Stability Analysis
convergence acceleration algorithm integrable system molecule solution conver- gence stability
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2012/8/10
The molecule solution of an extended discrete Lotka-Volterra equation is constructed,
from which a new sequence transformation is proposed. A convergence acceleration algorithm for
implementing this...
Semi-Implicit Finite Element Method and its Convergence of Single-Particle Reconstruction Using L2-Gradient Flow
Semi-Implicit Finite Element Method Convergence Single-Particle Reconstruction
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2012/8/10
In an earlier paper, we presented an iterative algorithm for reconstructing a three dimensional
density function from a set of two dimensional electron microscopy images. By
minimizing an energy fun...
Gradient Flow Based Semi-implicit Finite Element Method and its Convergence Analysis for Image Reconstruction
Gradient flow, Finite element method, Convergence analysis, Image reconstruction
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2012/8/10
In this paper, we present a novel L2-gradient flow based semi-implicit finite element
method for solving a variational model of image reconstruction under various data scenarios,
especially for the ...
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
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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...
Convergence OF The Heterogeneous Multiscale Finite Element Method For Elliptic Problem With Nonsmooth Microstructures
Finite Element Method Nonsmooth Microstructures
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2012/8/10
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
Convergence rate moving mesh method convection-dominated equation Godunov scheme
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2012/8/8
Uniform Convergence of Godunov Schemes on Moving Meshes for Dynamical Boundary Layers 。