In this work we review the opportunities given by the use of local maximumentropy approximants (LME) for the simulation of forming processes. This approximation can be considered as a meshless approximation scheme, and thus presents some appealing features for the numerical simulation of forming processes in a Galerkin framework. Especially the behavior of these shape functions at the boundary ...

fuzzy linear regression models are used to obtain an appropriate linear relation between a dependent variable and several independent variables in a fuzzy environment. several methods for evaluating fuzzy coefficients in linear regression models have been proposed. the first attempts at estimating the parameters of a fuzzy regression model used mathematical programming methods. in this the...

We construct and analyze a least-squares procedure for approximately solving the initial-value problem for the linearized equations of coupled sound and heat flow, in a bounded domain Í2 in Ä , with homogeneous Dirichlet boundary conditions. The method is based on Crank-Nicolson time differencing. To approximately solve the resulting system of boundary value problems at each time step, a least-...

In this paper we focus on two methods for multivariate approximation problems with non-uniformly distributed noisy data. The new approach proposed here is an iterated approximate moving least-squares method. We compare our method to ridge regression which filters out noise by using a smoothing parameter. Our goal is to find an optimal number of iterations for the iterative method and an optimal...

Meshless methods based on the local Petrov-Galerkin approach are proposed for solution of steady and transient heat conduction problem in a continuously nonhomogeneous anisotropic medium. Fundamental solution of the governing partial differential equations and the Heaviside step function are used as the test functions in the local weak form. It is leading to derive local boundary integral equat...

In this paper we propose a new arbitrary-order Finite Volume method for the numerical solution of Euler and Navier-Stokes equations on unstructured grids. Arbitrary order is achieved using modified Moving Least Squares reconstruction, which preserves mean values conservative variables. Hence, proposed scheme changes traditional error functional MLS reconstruction in to compare cell-averaged val...

By introducing the dimension splitting method (DSM) into improved interpolating moving least-squares (IMLS) with nonsingular weight function, a splitting–interpolating least squares (DS-IMLS) is first proposed. Since DSM can decompose problem series of lower-dimensional problems, DS-IMLS reduce matrix in calculating shape function and computational complexity derivatives approximation function....

Two meshless local Petrov-Galerkin (MLPG) methods based on two different trial functions but that use a simple linear test function were developed for beam and column problems. These methods used generalized moving least squares (GMLS) and radial basis (RB) interpolation functions as trial functions. These two methods were tested on various patch test problems. Both methods passed the patch tes...