The Experts below are selected from a list of 51375 Experts worldwide ranked by ideXlab platform

Thomas P Wihler - One of the best experts on this subject based on the ideXlab platform.

Pascal Heid - One of the best experts on this subject based on the ideXlab platform.

Andreu Mascolell - One of the best experts on this subject based on the ideXlab platform.

  • a simple Adaptive Procedure leading to correlated equilibrium
    Econometrica, 2000
    Co-Authors: Sergiu Hart, Andreu Mascolell
    Abstract:

    We propose a new and simple Adaptive Procedure for playing a game: ‘‘regret-matching.’’ In this Procedure, players may depart from their current play with probabilities that are proportional to measures of regret for not having used other strategies in the past. It is shown that our Adaptive Procedure guarantees that, with probability one, the empirical distributions of play converge to the set of correlated equilibria of the game.

  • a simple Adaptive Procedure leading to correlated equilibrium
    Social Science Research Network, 1996
    Co-Authors: Sergiu Hart, Andreu Mascolell
    Abstract:

    We propose a simple Adaptive Procedure for playing a game. In this Procedure, players depart from their current play with probabilities that are proportional to measures of regret for not having used other strategies (these measures are updated every period). It is shown that our Adaptive Procedure guaranties that with probability one, the sample distributions of play converge to the set of correlated equilibria of the game. To compute these regret measures, a player needs to know his payoff function and the history of play. We also offer a variation where every player knows only his own realized payoff history (but not his payoff function).

G R Liu - One of the best experts on this subject based on the ideXlab platform.

  • an efficient Adaptive analysis Procedure using the edge based smoothed point interpolation method es pim for 2d and 3d problems
    Engineering Analysis With Boundary Elements, 2012
    Co-Authors: G R Liu, Q Tang, Guiyong Zhang, Z H Zhong
    Abstract:

    Abstract In this paper, an efficient Adaptive analysis Procedure is proposed using the newly developed edge-based smoothed point interpolation method (ES-PIM) for both two dimensional (2D) and three dimensional (3D) elasticity problems. The ES-PIM works well with three-node triangular and four-node tetrahedral meshes, is easy to be implemented for complicated geometry, and can obtain numerical results of much better accuracy and higher convergence rate than the standard finite element method (FEM) with the same set of meshes. All these important features make it an ideal candidate for Adaptive analysis. In the present Adaptive Procedure, a novel error indicator is devised for ES-PIM settings, which evaluates the maximum difference of strain energy values among the vertexes of each background cell. A simple h -type local refinement scheme is adopted together with a mesh generator based on Delaunay technology. Intensive numerical studies of 2D and 3D examples indicate that the proposed Adaptive Procedure can effectively capture the stress concentration and solution singularities, carry out local refinement automatically, and hence achieve much higher convergence for the solutions in strain energy norm compared to the general uniform refinement.

  • Adaptive analysis using the node based smoothed finite element method ns fem
    International Journal for Numerical Methods in Biomedical Engineering, 2011
    Co-Authors: G R Liu, T Nguyenthoi, H Nguyenxuan, C Nguyentran
    Abstract:

    The paper presents an Adaptive analysis within the framework of the node-based smoothed finite element method (NS-FEM) using triangular elements. An error indicator based on the recovery strain is used and shown to be asymptotically exact by an effectivity index and numerical results. A simple refinement strategy using the newest node bisection is briefly presented. The numerical results of some benchmark problems show that the present Adaptive Procedure can accurately catch the appearance of the steep gradient of stresses and the occurrence of refinement is concentrated properly. The energy error norms of Adaptive models for both NS-FEM and FEM obtain higher convergence rate compared with the uniformly refined models, but the results of NS-FEM are better and achieve higher convergence rate than those of FEM. The effectivity index of NS-FEM is also closer and approaches to unity faster than that of FEM. The upper bound property in the strain energy of NS-FEM is always verified during the Adaptive Procedure. Copyright © 2009 John Wiley & Sons, Ltd.

  • an Adaptive Procedure based on background cells for meshless methods
    Computer Methods in Applied Mechanics and Engineering, 2002
    Co-Authors: G R Liu
    Abstract:

    Abstract In practical implementations, meshless methods using moving least-squares (MLS) approximation and global Galerkin formulation require a background mesh for domain integration. An Adaptive Procedure based on background mesh is developed for meshless methods using MLS. It comprises a cell energy error estimate and a local domain refinement technique. The error estimate differs from conventional pointwise approaches in that it evaluates error based on individual cells instead of points. For each cell, a computed cell energy and a reference cell energy are generated based on a same stress field by using two different integration schemes; the difference between the two energy values is used as the basic measure of error estimation. The advantage of this strategy is that it requires only one stress field and no reference field needs to be furnished. This has significance, as the stress field generated by meshless methods is already very smooth and traditional error estimates based on stress smoothing techniques for finite element methods are not applicable. To achieve high efficiency in domain refinement, a local technique based on the Delaunay algorithm is implemented. In this technique, each node is assigned a scaling factor to control local nodal density; refinement of the neighborhood of a node is accomplished simply by adjusting its scaling factor. The numerical experiments in this paper show that the proposed Adaptive Procedure is simple, effective and efficient. The limitations of the approach are also discussed.

Benjamin Stamm - One of the best experts on this subject based on the ideXlab platform.