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On the approximation in the smoothed finite element method (SFEM)
Smoothed Finite ElementMethod boundary integration Wachspress Interpolants strain smoothing rational basis finite elements
2011/10/9
Abstract: This letter aims at resolving the issues raised in the recent short communication [1] and answered by [2] by proposing a systematic approximation scheme based on non-mapped shape functions, ...
A simple linear response closure approximation for slow dynamics of a multiscale system with linear coupling
closure approximation slow dynamics multiscale system linear coupling
2011/9/14
Abstract: Many applications of contemporary science involve multiscale dynamics, which are typically characterized by the time and space scale separation of patterns of motion, with fewer slowly evolv...
A Haar-type Approximation and a New Numerical Schema for the Korteweg-de Vries Equation
KdV equation Haar wavelets potential fragmentation layer stripping Inverse Scattering Transform
2011/9/14
Abstract: We discuss a new numerical schema for solving the initial value problem for the Korteweg-de Vries equation for large times. Our approach is based upon the Inverse Scattering Transform that r...
Computing hitting times via fluid approximation: application to the coupon collector problem
Computing hitting times fluid approximation coupon collector problem Probability
2011/9/14
Abstract: In this paper, we show how to use stochastic approximation to compute hitting time of a stochastic process, based on the study of the time for a fluid approximation of this process to be at ...
Approximation and relaxation of perimeter in the Wiener space
Approximation and relaxation of perimeter the Wiener space Analysis of PDEs
2011/9/13
Abstract: We characterize the relaxation of the perimeter in an infinite dimensional Wiener space, with respect to the weak L^2-topology. We also show that the rescaled Allen-Cahn functionals approxim...
Mathematical analysis of successive linear approximation for Mooney-Rivlin material model in finite elasticity
Linearized constitutive equations Mooney-Rivlin material Relative descriptional formulation Existence and uniqueness
2011/9/6
Abstract: For calculating large deformations in finite elasticity, we have proposed a method of successive linear approximation, by considering the relative descriptional formulation. In this article ...
Approximation of Fourier Integral Operators by Gabor multipliers
Fourier Integral operators modulation spaces short-time Fourier transform Gabor multipliers
2011/9/1
Abstract: A general principle says that the matrix of a Fourier integral operator with respect to wave packets is concentrated near the curve of propagation. We prove a precise version of this princip...
On p-Compact mappings and p-approximation
p-compact sets holomorphic mappings approximation properties
2011/8/30
Abstract: The notion of $p$-compact sets arises naturally from Grothendieck's characterization of compact sets as those contained in the convex hull of a norm null sequence. The definition, due to Sin...
Methods of Approximation in hpk Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs
Finite Element Approximations Numerical Studies Time Approximation Variationally Consis- tent Integral Forms
2013/1/30
The present study considers mathematical classification of the time differential operators and then applies methods of approximation in time such as Galerkin method (GM ), Galerkin method with weak fo...
Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way CutProblem
k-way cut Approximation algorithm
2012/12/3
For an edge-weighted connected undirected graph, the minimum k-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into k connected components. The p...
High order weak approximation schemes for Lévy-driven SDEs
Levy-driven stochastic dierential equation Euler scheme
2011/2/28
We propose new jump-adapted weak approximation schemes for stochas-tic dierential equations driven by pure-jump Levy processes.
A remark on approximation of open sets with regular bounded ones
approximation of irregular open sets ascending sequence of sets analytic boundary
2011/1/19
We show that any open set in Rn is a union of an ascending sequence of bounded open sets with analytic boundary.This is just a technical result, which is probably known. We be-lieve, however, that it ...
Coherent potential approximation for disordered bosons
Coherent potential disordered bosons
2011/2/25
A family of random models for bosonic quasi-particle excitations, e.g. the vibrations of a disordered solid, is introduced. The generator of the linearized phase space dynamics of these models is the ...
Topological spaces - such as classifying spaces, configuration spaces and spacetimes - often admit extra temporal structure.
On some problems on smooth approximation and smooth extension of Lipschitz functions on Banach-Finsler Manifolds
Riemannian manifolds Finsler manifolds Banach spaces
2011/2/24
Let us consider a Riemannian manifold M (either separable or non-separable). We prove that, for every " > 0, every Lipschitz function f : M ! R can be uniformly approximated by a Lipschitz, C1-smooth ...